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53597313000 = 23325371127989
BaseRepresentation
bin110001111010101001…
…100001011111101000
312010100021210121100200
4301322221201133220
51334231403004000
640342224232200
73605122433520
oct617251413750
9163307717320
1053597313000
1120804316600
12a47976b660
13509211baba
1428463c0680
1515da5c5500
hexc7aa617e8

53597313000 has 1152 divisors, whose sum is σ = 233041536000. Its totient is φ = 10872576000.

The previous prime is 53597312983. The next prime is 53597313037. The reversal of 53597313000 is 31379535.

It is a happy number.

53597313000 is a `hidden beast` number, since 5 + 3 + 597 + 31 + 30 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 602216956 + ... + 602217044.

It is an arithmetic number, because the mean of its divisors is an integer number (202293000).

Almost surely, 253597313000 is an apocalyptic number.

53597313000 is a gapful number since it is divisible by the number (50) 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 53597313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116520768000).

53597313000 is an abundant number, since it is smaller than the sum of its proper divisors (179444223000).

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

53597313000 is a wasteful number, since it uses less digits than its factorization.

53597313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 42525, while the sum is 36.

The spelling of 53597313000 in words is "fifty-three billion, five hundred ninety-seven million, three hundred thirteen thousand".