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90137370560 = 2654357711353
BaseRepresentation
bin101001111110010011…
…0110001111111000000
322121122211100212002212
41103330212301333000
52434100131324220
6105224124401252
76340455002546
oct1237446617700
9277584325085
1090137370560
1135255217686
12155769a6228
13866641b833
144511259d96
1525284640c5
hex14fc9b1fc0

90137370560 has 112 divisors (see below), whose sum is σ = 220031255136. Its totient is φ = 35152330752.

The previous prime is 90137370541. The next prime is 90137370569. The reversal of 90137370560 is 6507373109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90137370569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7933844 + ... + 7945196.

It is an arithmetic number, because the mean of its divisors is an integer number (1964564778).

Almost surely, 290137370560 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 90137370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110015627568).

90137370560 is an abundant number, since it is smaller than the sum of its proper divisors (129893884576).

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

90137370560 is a wasteful number, since it uses less digits than its factorization.

90137370560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11990 (or 11980 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 41.

The spelling of 90137370560 in words is "ninety billion, one hundred thirty-seven million, three hundred seventy thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 577 688 860 1154 1376 1720 2308 2752 2885 3440 4616 5770 6880 9232 11353 11540 13760 18464 22706 23080 24811 36928 45412 46160 49622 56765 90824 92320 99244 113530 124055 181648 184640 198488 227060 248110 363296 396976 454120 488179 496220 726592 793952 908240 976358 992440 1587904 1816480 1952716 1984880 2440895 3632960 3905432 3969760 4881790 6550681 7810864 7939520 9763580 13101362 15621728 19527160 26202724 31243456 32753405 39054320 52405448 65506810 78108640 104810896 131013620 156217280 209621792 262027240 281679283 419243584 524054480 563358566 1048108960 1126717132 1408396415 2096217920 2253434264 2816792830 4506868528 5633585660 9013737056 11267171320 18027474112 22534342640 45068685280 90137370560