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72160042167396 = 22341771184520447
BaseRepresentation
bin10000011010000100010001…
…101011100010110001100100
3100110111102200102001002120000
4100122010101223202301210
533424232231243324041
6413245510555341300
721125251054100241
oct2032042153426144
9313442612032500
1072160042167396
1120aa09a1660057
128115124151830
13313588017cbc1
1413b67c96845c8
158520acedebb6
hex41a111ae2c64

72160042167396 has 120 divisors (see below), whose sum is σ = 202550310014976. Its totient is φ = 22319593148160.

The previous prime is 72160042167391. The next prime is 72160042167419. The reversal of 72160042167396 is 69376124006127.

72160042167396 is a `hidden beast` number, since 7 + 2 + 1 + 60 + 0 + 421 + 6 + 73 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (72160042167391) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91869156 + ... + 92651291.

Almost surely, 272160042167396 is an apocalyptic number.

It is an amenable number.

72160042167396 is an abundant number, since it is smaller than the sum of its proper divisors (130390267847580).

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

72160042167396 is a wasteful number, since it uses less digits than its factorization.

72160042167396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184520551 (or 184520540 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 72160042167396 in words is "seventy-two trillion, one hundred sixty billion, forty-two million, one hundred sixty-seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 71 81 102 108 142 153 162 204 213 284 306 324 426 459 612 639 852 918 1207 1278 1377 1836 1917 2414 2556 2754 3621 3834 4828 5508 5751 7242 7668 10863 11502 14484 21726 23004 32589 43452 65178 97767 130356 195534 391068 184520447 369040894 553561341 738081788 1107122682 1660684023 2214245364 3136847599 3321368046 4982052069 6273695198 6642736092 9410542797 9964104138 12547390396 13100951737 14946156207 18821085594 19928208276 26201903474 28231628391 29892312414 37642171188 39302855211 52403806948 56463256782 59784624828 78605710422 84694885173 112926513564 117908565633 157211420844 169389770346 222716179529 235817131266 254084655519 338779540692 353725696899 445432359058 471634262532 508169311038 668148538587 707451393798 890864718116 1016338622076 1061177090697 1336297077174 1414902787596 2004445615761 2122354181394 2672594154348 4008891231522 4244708362788 6013336847283 8017782463044 12026673694566 18040010541849 24053347389132 36080021083698 72160042167396