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89892861372 = 22345315733343
BaseRepresentation
bin101001110111000001…
…0000011010110111100
322121000210021111120000
41103232002003112330
52433100033030442
6105143551554300
76331425500016
oct1235602032674
9277023244500
1089892861372
113513a1a4276
1215508b2b990
13862787c442
1444ca9ad1b6
152511c66d4c
hex14ee0835bc

89892861372 has 120 divisors (see below), whose sum is σ = 240963883776. Its totient is φ = 29210792832.

The previous prime is 89892861349. The next prime is 89892861391. The reversal of 89892861372 is 27316829898.

89892861372 is a `hidden beast` number, since 8 + 9 + 8 + 9 + 2 + 8 + 613 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2679333 + ... + 2712675.

Almost surely, 289892861372 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 89892861372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120481941888).

89892861372 is an abundant number, since it is smaller than the sum of its proper divisors (151071022404).

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

89892861372 is a wasteful number, since it uses less digits than its factorization.

89892861372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33569 (or 33558 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 89892861372 in words is "eighty-nine billion, eight hundred ninety-two million, eight hundred sixty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 157 159 162 212 314 318 324 471 477 628 636 942 954 1413 1431 1884 1908 2826 2862 4239 4293 5652 5724 8321 8478 8586 12717 16642 16956 17172 24963 25434 33284 33343 49926 50868 66686 74889 99852 100029 133372 149778 200058 224667 299556 300087 400116 449334 600174 674001 898668 900261 1200348 1348002 1767179 1800522 2696004 2700783 3534358 3601044 5234851 5301537 5401566 7068716 10469702 10603074 10803132 15704553 15904611 20939404 21206148 31409106 31809222 47113659 47713833 62818212 63618444 94227318 95427666 141340977 143141499 188454636 190855332 277447103 282681954 286282998 424022931 554894206 565363908 572565996 832341309 848045862 1109788412 1664682618 1696091724 2497023927 3329365236 4994047854 7491071781 9988095708 14982143562 22473215343 29964287124 44946430686 89892861372