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151336675540 = 22537204509021
BaseRepresentation
bin1000110011110001011…
…1100110100011010100
3112110121220122200000001
42030330113212203110
54434414142104130
6153304554101044
713635156342331
oct2147427464324
9473556580001
10151336675540
11591aa676286
12253b641a784
131136a488a2b
1474790db988
153e0b1166ca
hex233c5e68d4

151336675540 has 24 divisors (see below), whose sum is σ = 326396399112. Its totient is φ = 58898597760.

The previous prime is 151336675531. The next prime is 151336675571. The reversal of 151336675540 is 45576633151.

151336675540 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 4 ways, for example, as 44938064196 + 106398611344 = 211986^2 + 326188^2 .

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 7 ways as a sum of consecutive naturals, for example, 102253771 + ... + 102255250.

It is an arithmetic number, because the mean of its divisors is an integer number (13599849963).

Almost surely, 2151336675540 is an apocalyptic number.

151336675540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151336675540 is an abundant number, since it is smaller than the sum of its proper divisors (175059723572).

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

151336675540 is a wasteful number, since it uses less digits than its factorization.

151336675540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204509067 (or 204509065 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 46.

The spelling of 151336675540 in words is "one hundred fifty-one billion, three hundred thirty-six million, six hundred seventy-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 204509021 409018042 818036084 1022545105 2045090210 4090180420 7566833777 15133667554 30267335108 37834168885 75668337770 151336675540