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55769720832 = 21135722287
BaseRepresentation
bin110011111100001000…
…100110100000000000
312022221200120100200000
4303330020212200000
51403204022031312
641341550400000
74013011543200
oct637410464000
9168850510600
1055769720832
112171960a781
12a985200000
13534a20c417
1429b0b18400
1516b6191adc
hexcfc226800

55769720832 has 432 divisors, whose sum is σ = 194395481280. Its totient is φ = 15927238656.

The previous prime is 55769720827. The next prime is 55769720849. The reversal of 55769720832 is 23802796755.

55769720832 is a `hidden beast` number, since 557 + 6 + 9 + 7 + 2 + 0 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×557697208322 (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 a nialpdrome in base 12.

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 35 ways as a sum of consecutive naturals, for example, 24384393 + ... + 24386679.

It is an arithmetic number, because the mean of its divisors is an integer number (449989540).

Almost surely, 255769720832 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 55769720832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97197740640).

55769720832 is an abundant number, since it is smaller than the sum of its proper divisors (138625760448).

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

55769720832 is an equidigital number, since it uses as much as digits as its factorization.

55769720832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 55769720832 in words is "fifty-five billion, seven hundred sixty-nine million, seven hundred twenty thousand, eight hundred thirty-two".