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152230032464 = 2417559669237
BaseRepresentation
bin1000110111000110011…
…1011111010001010000
3112112221011122220022112
42031301213133101100
54443231342014324
6153533345524452
713666254632426
oct2156147372120
9475834586275
10152230032464
1159618980594
1225605643728
13114805977b3
147521a09116
153e5e77ec0e
hex23719df450

152230032464 has 20 divisors (see below), whose sum is σ = 312295434804. Its totient is φ = 71637662208.

The previous prime is 152230032433. The next prime is 152230032469. The reversal of 152230032464 is 464230032251.

152230032464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 124538410000 + 27691622464 = 352900^2 + 166408^2 .

It is a super-2 number, since 2×1522300324642 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152230032464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152230032469) 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 3 ways as a sum of consecutive naturals, for example, 279834347 + ... + 279834890.

Almost surely, 2152230032464 is an apocalyptic number.

It is an amenable number.

152230032464 is an abundant number, since it is smaller than the sum of its proper divisors (160065402340).

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

152230032464 is a wasteful number, since it uses less digits than its factorization.

152230032464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559669262 (or 559669256 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 152230032464 in words is "one hundred fifty-two billion, two hundred thirty million, thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 559669237 1119338474 2238676948 4477353896 8954707792 9514377029 19028754058 38057508116 76115016232 152230032464