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538595041104 = 243231149980489
BaseRepresentation
bin1111101011001101100…
…01000001111101010000
31220111012121120221110100
413311212301001331100
532311020312303404
61051232132532400
753624613212151
oct7654661017520
91814177527410
10538595041104
1119846495008a
1288472481100
133ba351066c3
141c0d4d8b928
15e0240e5d39
hex7d66c41f50

538595041104 has 120 divisors (see below), whose sum is σ = 1556998560000. Its totient is φ = 173622274560.

The previous prime is 538595041057. The next prime is 538595041133. The reversal of 538595041104 is 401140595835.

It is a happy number.

538595041104 is a `hidden beast` number, since 5 + 3 + 8 + 595 + 0 + 41 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 538595041104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6651292 + ... + 6731780.

It is an arithmetic number, because the mean of its divisors is an integer number (12974988000).

Almost surely, 2538595041104 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 538595041104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778499280000).

538595041104 is an abundant number, since it is smaller than the sum of its proper divisors (1018403518896).

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

538595041104 is a wasteful number, since it uses less digits than its factorization.

538595041104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82033 (or 82024 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 538595041104 in words is "five hundred thirty-eight billion, five hundred ninety-five million, forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 1499 2232 2998 4464 4497 5996 8994 11992 13491 17988 23984 26982 35976 46469 53964 71952 80489 92938 107928 139407 160978 185876 215856 241467 278814 321956 371752 418221 482934 557628 643912 724401 743504 836442 965868 1115256 1287824 1448802 1672884 1931736 2230512 2495159 2897604 3345768 3863472 4990318 5795208 6691536 7485477 9980636 11590416 14970954 19961272 22456431 29941908 39922544 44912862 59883816 89825724 119767632 120653011 179651448 241306022 359302896 361959033 482612044 723918066 965224088 1085877099 1447836132 1930448176 2171754198 2895672264 3740243341 4343508396 5791344528 7480486682 8687016792 11220730023 14960973364 17374033584 22441460046 29921946728 33662190069 44882920092 59843893456 67324380138 89765840184 134648760276 179531680368 269297520552 538595041104