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90238357608 = 23374349925033
BaseRepresentation
bin101010000001010100…
…0000001000001101000
322121220212101112021220
41110002220001001220
52434302004420413
6105242133102040
76343122245460
oct1240250010150
9277825345256
1090238357608
11352a7222753
12155a4787920
138681319699
144520826ba0
152532261223
hex1502a01068

90238357608 has 128 divisors (see below), whose sum is σ = 264359040000. Its totient is φ = 25131326976.

The previous prime is 90238357571. The next prime is 90238357621. The reversal of 90238357608 is 80675383209.

It is a Cunningham number, because it is equal to 3003972-1.

It is a super-2 number, since 2×902383576082 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3592260 + ... + 3617292.

It is an arithmetic number, because the mean of its divisors is an integer number (2065305000).

Almost surely, 290238357608 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 90238357608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132179520000).

90238357608 is an abundant number, since it is smaller than the sum of its proper divisors (174120682392).

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

90238357608 is a wasteful number, since it uses less digits than its factorization.

90238357608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25591 (or 25587 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 90238357608 in words is "ninety billion, two hundred thirty-eight million, three hundred fifty-seven thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 499 516 602 903 998 1032 1204 1497 1806 1996 2408 2994 3493 3612 3992 5988 6986 7224 10479 11976 13972 20958 21457 25033 27944 41916 42914 50066 64371 75099 83832 85828 100132 128742 150198 150199 171656 175231 200264 257484 300396 300398 350462 450597 514968 525693 600792 600796 700924 901194 1051386 1076419 1201592 1401848 1802388 2102772 2152838 3229257 3604776 4205544 4305676 6458514 7534933 8611352 12491467 12917028 15069866 22604799 24982934 25834056 30139732 37474401 45209598 49965868 60279464 74948802 87440269 90419196 99931736 149897604 174880538 180838392 262320807 299795208 349761076 524641614 537133081 699522152 1049283228 1074266162 1611399243 2098566456 2148532324 3222798486 3759931567 4297064648 6445596972 7519863134 11279794701 12891193944 15039726268 22559589402 30079452536 45119178804 90238357608