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54591376896 = 2935762683
BaseRepresentation
bin110010110101111001…
…100100111000000000
312012220120022021200000
4302311321210320000
51343300343030041
641025014400000
73641553022140
oct626571447000
9165816267600
1054591376896
1121174455511
12a6b6660000
1351c005b0a4
1428dc424920
1516479d2bb6
hexcb5e64e00

54591376896 has 240 divisors, whose sum is σ = 186734131584. Its totient is φ = 15597287424.

The previous prime is 54591376883. The next prime is 54591376901. The reversal of 54591376896 is 69867319545.

54591376896 is a `hidden beast` number, since 5 + 4 + 591 + 37 + 6 + 8 + 9 + 6 = 666.

It is a super-2 number, since 2×545913768962 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 839571 + ... + 902253.

Almost surely, 254591376896 is an apocalyptic number.

54591376896 is a gapful number since it is divisible by the number (56) 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 54591376896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93367065792).

54591376896 is an abundant number, since it is smaller than the sum of its proper divisors (132142754688).

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

54591376896 is an frugal number, since it uses more digits than its factorization.

54591376896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62723 (or 62695 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 54591376896 in words is "fifty-four billion, five hundred ninety-one million, three hundred seventy-six thousand, eight hundred ninety-six".