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153145554372 = 223223401946021
BaseRepresentation
bin1000111010100000101…
…1111011010111000100
3112122021222101020021100
42032220023323113010
510002120230214442
6154204252420100
714031042506466
oct2165013732704
9478258336240
10153145554372
1159a48744768
1225820177630
1311598167235
1475ab446136
153eb4d2584c
hex23a82fb5c4

153145554372 has 72 divisors (see below), whose sum is σ = 404058432960. Its totient is φ = 48815807040.

The previous prime is 153145554361. The next prime is 153145554379. The reversal of 153145554372 is 273455541351.

153145554372 is a `hidden beast` number, since 1 + 5 + 31 + 4 + 5 + 5 + 543 + 72 = 666.

153145554372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (153145554379) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3304722 + ... + 3350742.

It is an arithmetic number, because the mean of its divisors is an integer number (5611922680).

Almost surely, 2153145554372 is an apocalyptic number.

153145554372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153145554372 is an abundant number, since it is smaller than the sum of its proper divisors (250912878588).

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

153145554372 is a wasteful number, since it uses less digits than its factorization.

153145554372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50073 (or 50068 counting only the distinct ones).

The product of its digits is 1260000, while the sum is 45.

The spelling of 153145554372 in words is "one hundred fifty-three billion, one hundred forty-five million, five hundred fifty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 4019 8038 12057 16076 24114 36171 46021 48228 72342 92042 92437 138063 144684 184084 184874 276126 277311 369748 414189 552252 554622 828378 831933 1058483 1109244 1656756 1663866 2116966 3175449 3327732 4233932 6350898 9526347 12701796 19052694 38105388 184958399 369916798 554875197 739833596 1109750394 1664625591 2219500788 3329251182 4254043177 6658502364 8508086354 12762129531 17016172708 25524259062 38286388593 51048518124 76572777186 153145554372