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56972817072 = 2434394311149
BaseRepresentation
bin110101000011110110…
…000011001010110000
312110001112101222110000
4311003312003022300
51413140020121242
642101205110000
74054560645333
oct650366031260
9173045358400
1056972817072
1122186740796
12b0600b8300
1354ac548ca2
142a8681261a
151736adea4c
hexd43d832b0

56972817072 has 100 divisors (see below), whose sum is σ = 164952475600. Its totient is φ = 18984419712.

The previous prime is 56972817047. The next prime is 56972817151. The reversal of 56972817072 is 27071827965.

It is a happy number.

56972817072 is a `hidden beast` number, since 569 + 7 + 2 + 8 + 1 + 7 + 0 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5104554 + ... + 5115702.

It is an arithmetic number, because the mean of its divisors is an integer number (1649524756).

Almost surely, 256972817072 is an apocalyptic number.

It is an amenable number.

56972817072 is an abundant number, since it is smaller than the sum of its proper divisors (107979658528).

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

56972817072 is a wasteful number, since it uses less digits than its factorization.

56972817072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15112 (or 15097 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 56972817072 in words is "fifty-six billion, nine hundred seventy-two million, eight hundred seventeen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 3943 7886 11149 11829 15772 22298 23658 31544 33447 35487 44596 47316 63088 66894 70974 89192 94632 100341 106461 133788 141948 178384 189264 200682 212922 267576 283896 301023 319383 401364 425844 535152 567792 602046 638766 802728 851688 903069 1204092 1277532 1605456 1703376 1806138 2408184 2555064 3612276 4816368 5110128 7224552 14449104 43960507 87921014 131881521 175842028 263763042 351684056 395644563 527526084 703368112 791289126 1055052168 1186933689 1582578252 2110104336 2373867378 3165156504 3560801067 4747734756 6330313008 7121602134 9495469512 14243204268 18990939024 28486408536 56972817072