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89448712992 = 2533587176369
BaseRepresentation
bin101001101001110001…
…1110000101100100000
322112212211112102112000
41103103203300230200
52431142332303432
6105031524204000
76314423341542
oct1232343605440
9275784472460
1089448712992
1134a31514aa1
1215404239600
138586851052
1444879d5692
1524d7c8257c
hex14d38f0b20

89448712992 has 96 divisors (see below), whose sum is σ = 261338011200. Its totient is φ = 29765274624.

The previous prime is 89448712967. The next prime is 89448713009. The reversal of 89448712992 is 29921784498.

89448712992 is a `hidden beast` number, since 89 + 448 + 7 + 1 + 29 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418984 + ... + 595352.

It is an arithmetic number, because the mean of its divisors is an integer number (2722270950).

Almost surely, 289448712992 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 89448712992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130669005600).

89448712992 is an abundant number, since it is smaller than the sum of its proper divisors (171889298208).

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

89448712992 is a wasteful number, since it uses less digits than its factorization.

89448712992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176975 (or 176961 counting only the distinct ones).

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

The spelling of 89448712992 in words is "eighty-nine billion, four hundred forty-eight million, seven hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 587 864 1174 1761 2348 3522 4696 5283 7044 9392 10566 14088 15849 18784 21132 28176 31698 42264 56352 63396 84528 126792 169056 176369 253584 352738 507168 529107 705476 1058214 1410952 1587321 2116428 2821904 3174642 4232856 4761963 5643808 6349284 8465712 9523926 12698568 16931424 19047852 25397136 38095704 50794272 76191408 103528603 152382816 207057206 310585809 414114412 621171618 828228824 931757427 1242343236 1656457648 1863514854 2484686472 2795272281 3312915296 3727029708 4969372944 5590544562 7454059416 9938745888 11181089124 14908118832 22362178248 29816237664 44724356496 89448712992