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56972201472 = 2936152639
BaseRepresentation
bin110101000011110011…
…101100111000000000
312110001111020201000000
4311003303230320000
51413134340421342
642101144000000
74054552502514
oct650363547000
9173044221000
1056972201472
112218636022a
12b05ba60000
1354ac391a24
142a866d2144
151736a1c44c
hexd43cece00

56972201472 has 140 divisors (see below), whose sum is σ = 170672736960. Its totient is φ = 18990609408.

The previous prime is 56972201437. The next prime is 56972201477. The reversal of 56972201472 is 27410227965.

56972201472 is a `hidden beast` number, since 569 + 7 + 2 + 2 + 0 + 14 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56972201477) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 296929 + ... + 449567.

Almost surely, 256972201472 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 56972201472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85336368480).

56972201472 is an abundant number, since it is smaller than the sum of its proper divisors (113700535488).

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

56972201472 is an frugal number, since it uses more digits than its factorization.

56972201472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152675 (or 152644 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 56972201472 in words is "fifty-six billion, nine hundred seventy-two million, two hundred one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2304 2592 2916 3456 3888 4608 5184 5832 6912 7776 10368 11664 13824 15552 20736 23328 31104 41472 46656 62208 93312 124416 152639 186624 305278 373248 457917 610556 915834 1221112 1373751 1831668 2442224 2747502 3663336 4121253 4884448 5495004 7326672 8242506 9768896 10990008 12363759 14653344 16485012 19537792 21980016 24727518 29306688 32970024 37091277 39075584 43960032 49455036 58613376 65940048 74182554 78151168 87920064 98910072 111273831 117226752 131880096 148365108 175840128 197820144 222547662 234453504 263760192 296730216 351680256 395640288 445095324 527520384 593460432 703360512 791280576 890190648 1055040768 1186920864 1582561152 1780381296 2110081536 2373841728 3165122304 3560762592 4747683456 6330244608 7121525184 9495366912 14243050368 18990733824 28486100736 56972201472