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55947386880 = 21335571173
BaseRepresentation
bin110100000110101110…
…010110000000000000
312100102001212201200000
4310012232112000000
51404040012340010
641411334400000
74020266641050
oct640656260000
9170361781600
1055947386880
11217aa928920
12aa14800000
135377c76b68
1429ca565560
1516c6a887c0
hexd06b96000

55947386880 has 1344 divisors, whose sum is σ = 254184473088. Its totient is φ = 11466178560.

The previous prime is 55947386879. The next prime is 55947386881. The reversal of 55947386880 is 8868374955.

55947386880 is a `hidden beast` number, since 5 + 5 + 9 + 473 + 86 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (55947386879) and next prime (55947386881).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×559473868802 (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 not an unprimeable number, because it can be changed into a prime (55947386881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 766402524 + ... + 766402596.

It is an arithmetic number, because the mean of its divisors is an integer number (189125352).

Almost surely, 255947386880 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 55947386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127092236544).

55947386880 is an abundant number, since it is smaller than the sum of its proper divisors (198237086208).

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

55947386880 is an equidigital number, since it uses as much as digits as its factorization.

55947386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 55947386880 in words is "fifty-five billion, nine hundred forty-seven million, three hundred eighty-six thousand, eight hundred eighty".