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153023921856 = 2632131719151419
BaseRepresentation
bin1000111010000011101…
…1111011111011000000
3112121222111111122211100
42032200323323323000
510001343110444411
6154144225414400
714025034605651
oct2164073737300
9477874448740
10153023921856
1159996018423
12257a749a400
1311578bbb230
147599223528
153ea92eb456
hex23a0efbec0

153023921856 has 672 divisors, whose sum is σ = 531215193600. Its totient is φ = 41604710400.

The previous prime is 153023921807. The next prime is 153023921861. The reversal of 153023921856 is 658129320351.

153023921856 is a `hidden beast` number, since 1 + 530 + 2 + 39 + 2 + 1 + 85 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 365212015 + ... + 365212433.

It is an arithmetic number, because the mean of its divisors is an integer number (790498800).

Almost surely, 2153023921856 is an apocalyptic number.

153023921856 is a gapful number since it is divisible by the number (16) 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 153023921856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265607596800).

153023921856 is an abundant number, since it is smaller than the sum of its proper divisors (378191271744).

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

153023921856 is a wasteful number, since it uses less digits than its factorization.

153023921856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 153023921856 in words is "one hundred fifty-three billion, twenty-three million, nine hundred twenty-one thousand, eight hundred fifty-six".