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152297224272 = 24331697207743
BaseRepresentation
bin1000110111010110011…
…1110011100001010000
3112120002212002121011000
42031311213303201100
54443401042134042
6153544150022000
714001032022054
oct2156547634120
9476085077130
10152297224272
11596528a3806
1225624047900
131149149206b
14752a8d9c64
153e6560374c
hex23759f3850

152297224272 has 80 divisors (see below), whose sum is σ = 437409146880. Its totient is φ = 50735582208.

The previous prime is 152297224241. The next prime is 152297224319. The reversal of 152297224272 is 272422792251.

152297224272 is a `hidden beast` number, since 1 + 52 + 297 + 2 + 242 + 72 = 666.

152297224272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629233 + ... + 836975.

It is an arithmetic number, because the mean of its divisors is an integer number (5467614336).

Almost surely, 2152297224272 is an apocalyptic number.

152297224272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152297224272 is an abundant number, since it is smaller than the sum of its proper divisors (285111922608).

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

152297224272 is a wasteful number, since it uses less digits than its factorization.

152297224272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209457 (or 209445 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 152297224272 in words is "one hundred fifty-two billion, two hundred ninety-seven million, two hundred twenty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1697 3394 5091 6788 10182 13576 15273 20364 27152 30546 40728 45819 61092 81456 91638 122184 183276 207743 244368 366552 415486 623229 733104 830972 1246458 1661944 1869687 2492916 3323888 3739374 4985832 5609061 7478748 9971664 11218122 14957496 22436244 29914992 44872488 89744976 352539871 705079742 1057619613 1410159484 2115239226 2820318968 3172858839 4230478452 5640637936 6345717678 8460956904 9518576517 12691435356 16921913808 19037153034 25382870712 38074306068 50765741424 76148612136 152297224272