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153397020504 = 233713314173757
BaseRepresentation
bin1000111011011100101…
…1001100011101011000
3112122221111120000221210
42032313023030131120
510003124114124004
6154245234303120
714040215106060
oct2166713143530
9478844500853
10153397020504
115a067689a12
1225890427aa0
13116082a1070
1475d29c43a0
153ecbe49089
hex23b72cc758

153397020504 has 512 divisors, whose sum is σ = 506604994560. Its totient is φ = 37623398400.

The previous prime is 153397020461. The next prime is 153397020509. The reversal of 153397020504 is 405020793351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153397020509) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 202637694 + ... + 202638450.

It is an arithmetic number, because the mean of its divisors is an integer number (989462880).

Almost surely, 2153397020504 is an apocalyptic number.

153397020504 is a gapful number since it is divisible by the number (14) 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 153397020504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253302497280).

153397020504 is an abundant number, since it is smaller than the sum of its proper divisors (353207974056).

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

153397020504 is a wasteful number, since it uses less digits than its factorization.

153397020504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 153397020504 in words is "one hundred fifty-three billion, three hundred ninety-seven million, twenty thousand, five hundred four".