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151455206412 = 2232531515211009
BaseRepresentation
bin1000110100001101101…
…1110000110000001100
3112110221011200122210100
42031003123300300030
54440140013101122
6153324430411100
713641126004356
oct2150333606014
9473834618710
10151455206412
1159260574284
122542a060a90
1311388bba043
14748ab540d6
153e1672baac
hex23436f0c0c

151455206412 has 144 divisors (see below), whose sum is σ = 393795380160. Its totient is φ = 49061376000.

The previous prime is 151455206377. The next prime is 151455206431. The reversal of 151455206412 is 214602554151.

151455206412 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 5 + 5 + 2 + 0 + 641 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150103764 + ... + 150104772.

It is an arithmetic number, because the mean of its divisors is an integer number (2734690140).

Almost surely, 2151455206412 is an apocalyptic number.

151455206412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151455206412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196897690080).

151455206412 is an abundant number, since it is smaller than the sum of its proper divisors (242340173748).

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

151455206412 is a wasteful number, since it uses less digits than its factorization.

151455206412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 151455206412 in words is "one hundred fifty-one billion, four hundred fifty-five million, two hundred six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 151 159 212 302 318 453 477 521 604 636 906 954 1009 1042 1359 1563 1812 1908 2018 2084 2718 3027 3126 4036 4689 5436 6054 6252 8003 9081 9378 12108 16006 18162 18756 24009 27613 32012 36324 48018 53477 55226 72027 78671 82839 96036 106954 110452 144054 152359 157342 160431 165678 213908 236013 248517 288108 304718 314684 320862 331356 457077 472026 481293 497034 525689 609436 641724 708039 914154 944052 962586 994068 1051378 1371231 1416078 1577067 1828308 1925172 2102756 2742462 2832156 3154134 4169563 4731201 5484924 6308268 8075027 8339126 9462402 12508689 16150054 16678252 18924804 24225081 25017378 27861517 32300108 37526067 48450162 50034756 55723034 72675243 75052134 79379039 83584551 96900324 111446068 145350486 150104268 158758078 167169102 238137117 250753653 290700972 317516156 334338204 476274234 501507306 714411351 952548468 1003014612 1428822702 2857645404 4207089067 8414178134 12621267201 16828356268 25242534402 37863801603 50485068804 75727603206 151455206412