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151604228160 = 263257211127769
BaseRepresentation
bin1000110100110001010…
…0001111000001000000
3112111022120002202012100
42031030110033001000
54440441140300120
6153351312430400
713644615451200
oct2151424170100
9474276082170
10151604228160
11593276a8550
122546bb48400
13113b0a358a8
1474a2866400
153e24866490
hex234c50f040

151604228160 has 1008 divisors, whose sum is σ = 667813386240. Its totient is φ = 31213486080.

The previous prime is 151604228143. The next prime is 151604228173. The reversal of 151604228160 is 61822406151.

It is a happy number.

151604228160 is a `hidden beast` number, since 1 + 516 + 0 + 4 + 2 + 2 + 81 + 60 = 666.

151604228160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 197144256 + ... + 197145024.

It is an arithmetic number, because the mean of its divisors is an integer number (662513280).

Almost surely, 2151604228160 is an apocalyptic number.

151604228160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151604228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333906693120).

151604228160 is an abundant number, since it is smaller than the sum of its proper divisors (516209158080).

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

151604228160 is a wasteful number, since it uses less digits than its factorization.

151604228160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 151604228160 in words is "one hundred fifty-one billion, six hundred four million, two hundred twenty-eight thousand, one hundred sixty".