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20537597299968 = 283271977578539
BaseRepresentation
bin1001010101101110010000…
…01100010000110100000000
32200201101010110121221120200
410222313020030100310000
510142441444402044333
6111402501510005200
74216535543461560
oct452671014206400
980641113557520
1020537597299968
1165a8a45297471
1223783a7946800
13b5c8c1791468
1451004c8c8da0
1525936b594c13
hex12adc8310d00

20537597299968 has 432 divisors, whose sum is σ = 68115587379840. Its totient is φ = 5829703778304.

The previous prime is 20537597299951. The next prime is 20537597300069. The reversal of 20537597299968 is 86999279573502.

20537597299968 is a `hidden beast` number, since 2 + 0 + 5 + 375 + 9 + 72 + 99 + 96 + 8 = 666.

It is a super-3 number, since 3×205375972999683 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2405148243 + ... + 2405156781.

Almost surely, 220537597299968 is an apocalyptic number.

20537597299968 is a gapful number since it is divisible by the number (28) 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 20537597299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34057793689920).

20537597299968 is an abundant number, since it is smaller than the sum of its proper divisors (47577990079872).

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

20537597299968 is a wasteful number, since it uses less digits than its factorization.

20537597299968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9522 (or 9505 counting only the distinct ones).

The product of its (nonzero) digits is 4629441600, while the sum is 81.

The spelling of 20537597299968 in words is "twenty trillion, five hundred thirty-seven billion, five hundred ninety-seven million, two hundred ninety-nine thousand, nine hundred sixty-eight".