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55794914208 = 25331119595237
BaseRepresentation
bin110011111101101000…
…101101001110100000
312100000102222022111000
4303331220231032200
51403231444223313
641344250352000
74013435642235
oct637550551640
9170012868430
1055794914208
1121731857950
12a99172b600
1353524c0647
1429b41d578c
1516b84bb673
hexcfda2d3a0

55794914208 has 384 divisors, whose sum is σ = 190076544000. Its totient is φ = 15743185920.

The previous prime is 55794914177. The next prime is 55794914249. The reversal of 55794914208 is 80241949755.

It is a happy number.

55794914208 is a `hidden beast` number, since 5 + 579 + 49 + 1 + 4 + 20 + 8 = 666.

It is a super-2 number, since 2×557949142082 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 10651366 + ... + 10656602.

It is an arithmetic number, because the mean of its divisors is an integer number (494991000).

Almost surely, 255794914208 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 55794914208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95038272000).

55794914208 is an abundant number, since it is smaller than the sum of its proper divisors (134281629792).

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

55794914208 is a wasteful number, since it uses less digits than its factorization.

55794914208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345 (or 5331 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 55794914208 in words is "fifty-five billion, seven hundred ninety-four million, nine hundred fourteen thousand, two hundred eight".