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75113401653204 = 223192239049163259
BaseRepresentation
bin10001000101000010110011…
…100111111001011111010100
3100211221202211002221202112120
4101011002303213321133110
534321124221310400304
6423430341555015540
721551523054400005
oct2105026347713724
9324852732852476
1075113401653204
1121a2a462038132
12851159229a5b0
1332bb217c4c2c5
1414797180ad1ac
158a3d12c920d9
hex4450b39f97d4

75113401653204 has 96 divisors (see below), whose sum is σ = 185337976320000. Its totient is φ = 23610899609856.

The previous prime is 75113401653203. The next prime is 75113401653271. The reversal of 75113401653204 is 40235610431157.

It is a happy number.

75113401653204 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75113401653203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460005727 + ... + 460168985.

It is an arithmetic number, because the mean of its divisors is an integer number (1930603920000).

Almost surely, 275113401653204 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 75113401653204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92668988160000).

75113401653204 is an abundant number, since it is smaller than the sum of its proper divisors (110224574666796).

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

75113401653204 is a wasteful number, since it uses less digits than its factorization.

75113401653204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172557 (or 172555 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 75113401653204 in words is "seventy-five trillion, one hundred thirteen billion, four hundred one million, six hundred fifty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 223 228 446 669 892 1338 2676 4237 8474 9049 12711 16948 18098 25422 27147 36196 50844 54294 108588 163259 171931 326518 343862 489777 515793 653036 687724 979554 1031586 1959108 2017927 2063172 3101921 4035854 6053781 6203842 8071708 9305763 12107562 12407684 18611526 24215124 36406757 37223052 38340613 72813514 76681226 109220271 115021839 145627028 153362452 218440542 230043678 436881084 460087356 691728383 1383456766 1477330691 2075185149 2766913532 2954661382 4150370298 4431992073 5909322764 8300740596 8863984146 17727968292 28069283129 56138566258 84207849387 112277132516 168415698774 329444744093 336831397548 658889488186 988334232279 1317778976372 1976668464558 3953336929116 6259450137767 12518900275534 18778350413301 25037800551068 37556700826602 75113401653204