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152613727313112 = 233313159733402593
BaseRepresentation
bin100010101100110100100111…
…000000010001110011011000
3202000100201201001112110101000
4202230310213000101303120
5130000410403143004422
61300325440051225000
744100656301303462
oct4254644700216330
9660321631473330
10152613727313112
114469a13348910a
12151496905a8160
136720549a12860
142998788323132
151299c77496cac
hex8acd27011cd8

152613727313112 has 128 divisors (see below), whose sum is σ = 456565507070400. Its totient is φ = 46955116302336.

The previous prime is 152613727313111. The next prime is 152613727313137. The reversal of 152613727313112 is 211313727316251.

It is a happy number.

152613727313112 is a `hidden beast` number, since 1 + 5 + 2 + 61 + 3 + 7 + 273 + 1 + 311 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152613727313111) 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, 43150888 + ... + 46553480.

Almost surely, 2152613727313112 is an apocalyptic number.

152613727313112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152613727313112 is an abundant number, since it is smaller than the sum of its proper divisors (303951779757288).

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

152613727313112 is a wasteful number, since it uses less digits than its factorization.

152613727313112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418594 (or 3418584 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The spelling of 152613727313112 in words is "one hundred fifty-two trillion, six hundred thirteen billion, seven hundred twenty-seven million, three hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 15973 31946 47919 63892 95838 127784 143757 191676 207649 287514 383352 415298 431271 575028 622947 830596 862542 1150056 1245894 1661192 1725084 1868841 2491788 3402593 3450168 3737682 4983576 5606523 6805186 7475364 10207779 11213046 13610372 14950728 20415558 22426092 27220744 30623337 40831116 44233709 44852184 61246674 81662232 88467418 91870011 122493348 132701127 176934836 183740022 244986696 265402254 353869672 367480044 398103381 530804508 734960088 796206762 1061609016 1194310143 1592413524 2388620286 3184827048 4777240572 9554481144 54349617989 108699235978 163048853967 217398471956 326097707934 434796943912 489146561901 652195415868 706545033857 978293123802 1304390831736 1413090067714 1467439685703 1956586247604 2119635101571 2826180135428 2934879371406 3913172495208 4239270203142 5652360270856 5869758742812 6358905304713 8478540406284 11739517485624 12717810609426 16957080812568 19076715914139 25435621218852 38153431828278 50871242437704 76306863656556 152613727313112