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151644056328 = 2332458932
BaseRepresentation
bin1000110100111010110…
…0001010101100001000
3112111102100001020011200
42031032230022230020
54441031334300303
6153355254224200
713645611132252
oct2151654125410
9474370036150
10151644056328
1159348130a96
1225481355060
13113b906c15b
1474a7c72cd2
153e280d23a3
hex234eb0ab08

151644056328 has 36 divisors (see below), whose sum is σ = 410711601885. Its totient is φ = 50546917344.

The previous prime is 151644056327. The next prime is 151644056351. The reversal of 151644056328 is 823650446151.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

151644056328 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 4 + 4 + 0 + 5 + 632 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 136103442084 + 15540614244 = 368922^2 + 124662^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=275358.

It is not an unprimeable number, because it can be changed into a prime (151644056327) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3281350 + ... + 3327242.

Almost surely, 2151644056328 is an apocalyptic number.

151644056328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

151644056328 is an abundant number, since it is smaller than the sum of its proper divisors (259067545557).

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

151644056328 is an frugal number, since it uses more digits than its factorization.

151644056328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91798 (or 45898 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 151644056328 in words is "one hundred fifty-one billion, six hundred forty-four million, fifty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 45893 91786 137679 183572 275358 367144 413037 550716 826074 1101432 1652148 3304296 2106167449 4212334898 6318502347 8424669796 12637004694 16849339592 18955507041 25274009388 37911014082 50548018776 75822028164 151644056328