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2656082176 = 281117113491
BaseRepresentation
bin1001111001010000…
…1001100100000000
320212002212221202221
42132110021210000
520414424112201
61115321020424
7122551216546
oct23624114400
96762787687
102656082176
11114331a940
12621624714
1333437a877
141b2a7dd96
151082ac4a1
hex9e509900

2656082176 has 144 divisors (see below), whose sum is σ = 6190769088. Its totient is φ = 1123942400.

The previous prime is 2656082161. The next prime is 2656082203. The reversal of 2656082176 is 6712806562.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5409291 + ... + 5409781.

It is an arithmetic number, because the mean of its divisors is an integer number (42991452).

Almost surely, 22656082176 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 2656082176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095384544).

2656082176 is an abundant number, since it is smaller than the sum of its proper divisors (3534686912).

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

2656082176 is a wasteful number, since it uses less digits than its factorization.

2656082176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 2656082176 is about 51537.1921625538. The cubic root of 2656082176 is about 1384.8853969043.

The spelling of 2656082176 in words is "two billion, six hundred fifty-six million, eighty-two thousand, one hundred seventy-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 113 128 136 176 187 226 256 272 352 374 452 491 544 704 748 904 982 1088 1243 1408 1496 1808 1921 1964 2176 2486 2816 2992 3616 3842 3928 4352 4972 5401 5984 7232 7684 7856 8347 9944 10802 11968 14464 15368 15712 16694 19888 21131 21604 23936 28928 30736 31424 33388 39776 42262 43208 47872 55483 61472 62848 66776 79552 84524 86416 91817 110966 122944 125696 133552 159104 169048 172832 183634 221932 245888 267104 318208 338096 345664 367268 443864 491776 534208 610313 676192 691328 734536 887728 943211 1068416 1220626 1352384 1382656 1469072 1775456 1886422 2136832 2441252 2704768 2938144 3550912 3772844 4882504 5409536 5876288 7101824 7545688 9765008 10375321 11752576 14203648 15091376 19530016 20750642 23505152 30182752 39060032 41501284 60365504 78120064 83002568 120731008 156240128 166005136 241462016 332010272 664020544 1328041088 2656082176