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2143051776 = 213339689
BaseRepresentation
bin111111110111100…
…0110000000000000
312112100112022101000
41333233012000000
513342110124101
6552353012000
7104051432235
oct17757060000
95470468330
102143051776
119aa773578
124b9854000
13281cb2798
1416489578c
15c821d486
hex7fbc6000

2143051776 has 112 divisors (see below), whose sum is σ = 6350050800. Its totient is φ = 714276864.

The previous prime is 2143051769. The next prime is 2143051777. The reversal of 2143051776 is 6771503412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2143051776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143051777) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216340 + ... + 226028.

Almost surely, 22143051776 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 2143051776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175025400).

2143051776 is an abundant number, since it is smaller than the sum of its proper divisors (4206999024).

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

2143051776 is an frugal number, since it uses more digits than its factorization.

2143051776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9724 (or 9694 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 2143051776 is about 46293.1072191098. The cubic root of 2143051776 is about 1289.2710213391.

The spelling of 2143051776 in words is "two billion, one hundred forty-three million, fifty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 9689 12288 13824 18432 19378 24576 27648 29067 36864 38756 55296 58134 73728 77512 87201 110592 116268 155024 174402 221184 232536 261603 310048 348804 465072 523206 620096 697608 930144 1046412 1240192 1395216 1860288 2092824 2480384 2790432 3720576 4185648 4960768 5580864 7441152 8371296 9921536 11161728 14882304 16742592 19843072 22323456 29764608 33485184 39686144 44646912 59529216 66970368 79372288 89293824 119058432 133940736 178587648 238116864 267881472 357175296 535762944 714350592 1071525888 2143051776