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22725834053472 = 253411797062081
BaseRepresentation
bin1010010101011010001010…
…10001000001011101100000
32222110120100110010122110000
411022231011101001131200
510434320002004202342
6120200034245540000
74533613232131434
oct512550521013540
988416313118400
1022725834053472
117271a76953230
122670503a14600
13c8b0632653c4
14587d1706a9c4
1529623ee4044c
hex14ab45441760

22725834053472 has 120 divisors (see below), whose sum is σ = 72912051013032. Its totient is φ = 6886616371200.

The previous prime is 22725834053443. The next prime is 22725834053497. The reversal of 22725834053472 is 27435043852722.

22725834053472 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 5 + 8 + 34 + 0 + 534 + 72 = 666.

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

It is a congruent number.

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, 398502529 + ... + 398559552.

Almost surely, 222725834053472 is an apocalyptic number.

22725834053472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22725834053472 is an abundant number, since it is smaller than the sum of its proper divisors (50186216959560).

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

22725834053472 is a wasteful number, since it uses less digits than its factorization.

22725834053472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797062114 (or 797062097 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 54.

The spelling of 22725834053472 in words is "twenty-two trillion, seven hundred twenty-five billion, eight hundred thirty-four million, fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 9504 14256 28512 797062081 1594124162 2391186243 3188248324 4782372486 6376496648 7173558729 8767682891 9564744972 12752993296 14347117458 17535365782 19129489944 21520676187 25505986592 26303048673 28694234916 35070731564 38258979888 43041352374 52606097346 57388469832 64562028561 70141463128 76517959776 78909146019 86082704748 105212194692 114776939664 129124057122 140282926256 157818292038 172165409496 210424389384 229553879328 236727438057 258248114244 280565852512 315636584076 344330818992 420848778768 473454876114 516496228488 631273168152 688661637984 710182314171 841697557536 946909752228 1032992456976 1262546336304 1420364628342 1893819504456 2065984913952 2525092672608 2840729256684 3787639008912 5681458513368 7575278017824 11362917026736 22725834053472