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53554456131680 = 25572472934011237
BaseRepresentation
bin11000010110101000111100…
…10101010111100001100000
321000121202102010110100221102
430023110132111113201200
524004414011232203210
6305522324424013532
714165116230142100
oct1413243625274140
9230552363410842
1053554456131680
1116078354362a69
12600b2670012a8
1323b62183c796a
14d32099bc1200
1562d11aba1ea5
hex30b51e557860

53554456131680 has 576 divisors, whose sum is σ = 151321947178752. Its totient is φ = 17850418790400.

The previous prime is 53554456131677. The next prime is 53554456131731. The reversal of 53554456131680 is 8613165445535.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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, 43293820022 + ... + 43293821258.

It is an arithmetic number, because the mean of its divisors is an integer number (262711713852).

Almost surely, 253554456131680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53554456131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75660973589376).

53554456131680 is an abundant number, since it is smaller than the sum of its proper divisors (97767491047072).

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

53554456131680 is a wasteful number, since it uses less digits than its factorization.

53554456131680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 56.

The spelling of 53554456131680 in words is "fifty-three trillion, five hundred fifty-four billion, four hundred fifty-six million, one hundred thirty-one thousand, six hundred eighty".