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151152551561 = 1121249194641
BaseRepresentation
bin1000110011000101100…
…1001110011010001001
3112110011002012012101102
42030301121032122021
54434030023122221
6153234415431145
713630462326614
oct2146131163211
9473132165342
10151152551561
1159115747200
12253648254b5
131133b29ca2b
14745c88d17b
153de9d9630b
hex233164e689

151152551561 has 6 divisors (see below), whose sum is σ = 166142887386. Its totient is φ = 137411410400.

The previous prime is 151152551551. The next prime is 151152551573. The reversal of 151152551561 is 165155251151.

It can be written as a sum of positive squares in only one way, i.e., 94153854025 + 56998697536 = 306845^2 + 238744^2 .

It is a de Polignac number, because none of the positive numbers 2k-151152551561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (151152551551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 624597200 + ... + 624597441.

It is an arithmetic number, because the mean of its divisors is an integer number (27690481231).

Almost surely, 2151152551561 is an apocalyptic number.

151152551561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

151152551561 is a deficient number, since it is larger than the sum of its proper divisors (14990335825).

151152551561 is a wasteful number, since it uses less digits than its factorization.

151152551561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249194663 (or 1249194652 counting only the distinct ones).

The product of its digits is 37500, while the sum is 38.

The spelling of 151152551561 in words is "one hundred fifty-one billion, one hundred fifty-two million, five hundred fifty-one thousand, five hundred sixty-one".

Divisors: 1 11 121 1249194641 13741141051 151152551561