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55805670816 = 25372573111039
BaseRepresentation
bin110011111110010001…
…101111010110100000
312100001012012210202220
4303332101233112200
51403242222431231
641345313111040
74013626242510
oct637621572640
9170035183686
1055805670816
1121737934505
12a995258480
1353547b86bc
1429b57d5840
1516b93e3896
hexcfe46f5a0

55805670816 has 192 divisors, whose sum is σ = 168771133440. Its totient is φ = 15816130560.

The previous prime is 55805670769. The next prime is 55805670827. The reversal of 55805670816 is 61807650855.

It is a super-2 number, since 2×558056708162 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53710425 + ... + 53711463.

It is an arithmetic number, because the mean of its divisors is an integer number (879016320).

Almost surely, 255805670816 is an apocalyptic number.

55805670816 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 55805670816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84385566720).

55805670816 is an abundant number, since it is smaller than the sum of its proper divisors (112965462624).

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

55805670816 is a wasteful number, since it uses less digits than its factorization.

55805670816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 51.

The spelling of 55805670816 in words is "fifty-five billion, eight hundred five million, six hundred seventy thousand, eight hundred sixteen".