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2309715648 = 26344110867
BaseRepresentation
bin1000100110101011…
…0111011011000000
312221222010201020000
42021222313123000
514212241400043
61021105120000
7111144154602
oct21152673300
95858121200
102309715648
11a85857609
12545629000
132aa697466
1417ca7b172
15d7b902d3
hex89ab76c0

2309715648 has 140 divisors (see below), whose sum is σ = 7014359352. Its totient is φ = 751057920.

The previous prime is 2309715623. The next prime is 2309715649. The reversal of 2309715648 is 8465179032.

2309715648 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×23097156483 (a number of 29 digits) contains 333 as substring.

2309715648 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (2309715649) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207111 + ... + 217977.

It is a 1-persistent number, because it is pandigital, but 2⋅2309715648 = 4619431296 is not.

Almost surely, 22309715648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2309715648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507179676).

2309715648 is an abundant number, since it is smaller than the sum of its proper divisors (4704643704).

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

2309715648 is a wasteful number, since it uses less digits than its factorization.

2309715648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10932 (or 10913 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2309715648 is about 48059.5011210062. The cubic root of 2309715648 is about 1321.8621651387.

The spelling of 2309715648 in words is "two billion, three hundred nine million, seven hundred fifteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 144 162 164 192 216 246 288 324 328 369 432 492 576 648 656 738 864 984 1107 1296 1312 1476 1728 1968 2214 2592 2624 2952 3321 3936 4428 5184 5904 6642 7872 8856 10867 11808 13284 17712 21734 23616 26568 32601 35424 43468 53136 65202 70848 86936 97803 106272 130404 173872 195606 212544 260808 293409 347744 391212 445547 521616 586818 695488 782424 880227 891094 1043232 1173636 1336641 1564848 1760454 1782188 2086464 2347272 2673282 3129696 3520908 3564376 4009923 4694544 5346564 6259392 7041816 7128752 8019846 9389088 10693128 12029769 14083632 14257504 16039692 18778176 21386256 24059538 28167264 28515008 32079384 36089307 42772512 48119076 56334528 64158768 72178614 85545024 96238152 128317536 144357228 192476304 256635072 288714456 384952608 577428912 769905216 1154857824 2309715648