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2141152579584 = 212352151203
BaseRepresentation
bin11111001010000110101…
…000111001000000000000
321120200200121022211200000
4133022012220321000000
5240040040030021314
64315344254400000
7310456520430504
oct37120650710000
97520617284600
102141152579584
1175606a8a2037
122a6b77800000
13126ba9b56605
14758bd1c6304
153aa69ebe209
hex1f286a39000

2141152579584 has 156 divisors (see below), whose sum is σ = 6413866354896. Its totient is φ = 713717194752.

The previous prime is 2141152579583. The next prime is 2141152579607. The reversal of 2141152579584 is 4859752511412.

2141152579584 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 1 + 5 + 2 + 57 + 9 + 584 = 666.

It is a super-2 number, since 2×21411525795842 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2141152579584.

It is not an unprimeable number, because it can be changed into a prime (2141152579583) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80274 + ... + 2070929.

It is an arithmetic number, because the mean of its divisors is an integer number (41114527916).

Almost surely, 22141152579584 is an apocalyptic number.

2141152579584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141152579584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206933177448).

2141152579584 is an abundant number, since it is smaller than the sum of its proper divisors (4272713775312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2141152579584 is an frugal number, since it uses more digits than its factorization.

2141152579584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151242 (or 2151208 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 54.

The spelling of 2141152579584 in words is "two trillion, one hundred forty-one billion, one hundred fifty-two million, five hundred seventy-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 3072 3456 3888 4096 4608 5184 6144 6912 7776 9216 10368 12288 13824 15552 18432 20736 27648 31104 36864 41472 55296 62208 82944 110592 124416 165888 248832 331776 497664 995328 2151203 4302406 6453609 8604812 12907218 17209624 19360827 25814436 34419248 38721654 51628872 58082481 68838496 77443308 103257744 116164962 137676992 154886616 174247443 206515488 232329924 275353984 309773232 348494886 413030976 464659848 522742329 550707968 619546464 696989772 826061952 929319696 1045484658 1101415936 1239092928 1393979544 1652123904 1858639392 2090969316 2202831872 2478185856 2787959088 3304247808 3717278784 4181938632 4405663744 4956371712 5575918176 6608495616 7434557568 8363877264 8811327488 9912743424 11151836352 13216991232 14869115136 16727754528 19825486848 22303672704 26433982464 29738230272 33455509056 39650973696 44607345408 59476460544 66911018112 79301947392 89214690816 118952921088 133822036224 178429381632 237905842176 267644072448 356858763264 535288144896 713717526528 1070576289792 2141152579584