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152971076928 = 2631941932861
BaseRepresentation
bin1000111001110111001…
…0010110010101000000
3112121211211001212012210
42032131302112111000
510001241043430203
6154135101022120
714023523462055
oct2163562262500
9477754055183
10152971076928
115996920422a
1225791854940
131156ac77c47
1475921c902c
153ea485d803
hex239dc96540

152971076928 has 56 divisors (see below), whose sum is σ = 426037877920. Its totient is φ = 48306654720.

The previous prime is 152971076899. The next prime is 152971076971. The reversal of 152971076928 is 829670179251.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20962783 + ... + 20970078.

Almost surely, 2152971076928 is an apocalyptic number.

It is an amenable number.

152971076928 is an abundant number, since it is smaller than the sum of its proper divisors (273066800992).

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

152971076928 is a wasteful number, since it uses less digits than its factorization.

152971076928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41932895 (or 41932885 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 57.

The spelling of 152971076928 in words is "one hundred fifty-two billion, nine hundred seventy-one million, seventy-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 41932861 83865722 125798583 167731444 251597166 335462888 503194332 670925776 796724359 1006388664 1341851552 1593448718 2012777328 2390173077 2683703104 3186897436 4025554656 4780346154 6373794872 8051109312 9560692308 12747589744 19121384616 25495179488 38242769232 50990358976 76485538464 152971076928