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55940801280 = 2835713160087
BaseRepresentation
bin110100000110010101…
…001110001100000000
312100101121111010220220
4310012111032030000
51404031321120110
641410541303040
74020156652050
oct640625161400
9170347433826
1055940801280
11217a713aa81
12aa12564a80
1353767ac460
1429c972d560
1516c61d7370
hexd0654e300

55940801280 has 288 divisors, whose sum is σ = 219891753984. Its totient is φ = 11802820608.

The previous prime is 55940801269. The next prime is 55940801327. The reversal of 55940801280 is 8210804955.

It is a happy number.

It is a super-3 number, since 3×559408012803 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269397 + ... + 429483.

Almost surely, 255940801280 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 55940801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109945876992).

55940801280 is an abundant number, since it is smaller than the sum of its proper divisors (163950952704).

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

55940801280 is a wasteful number, since it uses less digits than its factorization.

55940801280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160131 (or 160117 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 55940801280 in words is "fifty-five billion, nine hundred forty million, eight hundred one thousand, two hundred eighty".