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16074182656 = 212722832
BaseRepresentation
bin11101111100001100…
…01001000000000000
31112111020102002021101
432332012021000000
5230404442321111
611215005304144
71106222204200
oct167606110000
945436362241
1016074182656
1168a9503384
123147265054
13169225a7ac
14ac6b62400
1564129abc1
hex3be189000

16074182656 has 117 divisors (see below), whose sum is σ = 37525108851. Its totient is φ = 6864592896.

The previous prime is 16074182627. The next prime is 16074182687. The reversal of 16074182656 is 65628147061.

The square root of 16074182656 is 126784.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56799091 + ... + 56799373.

Almost surely, 216074182656 is an apocalyptic number.

16074182656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16074182656 is the 126784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16074182656

16074182656 is an abundant number, since it is smaller than the sum of its proper divisors (21450926195).

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

16074182656 is an frugal number, since it uses more digits than its factorization.

16074182656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 16074182656 in words is "sixteen billion, seventy-four million, one hundred eighty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 283 392 448 512 566 784 896 1024 1132 1568 1792 1981 2048 2264 3136 3584 3962 4096 4528 6272 7168 7924 9056 12544 13867 14336 15848 18112 25088 27734 28672 31696 36224 50176 55468 63392 72448 80089 100352 110936 126784 144896 160178 200704 221872 253568 289792 320356 443744 507136 560623 579584 640712 887488 1014272 1121246 1159168 1281424 1774976 2028544 2242492 2562848 3549952 3924361 4057088 4484984 5125696 7099904 7848722 8114176 8969968 10251392 14199808 15697444 17939936 20502784 28399616 31394888 35879872 41005568 56799232 62789776 71759744 82011136 125579552 143519488 164022272 251159104 287038976 328044544 502318208 574077952 1004636416 1148155904 2009272832 2296311808 4018545664 8037091328 16074182656