Search a number
-
+
55947939840 = 2123351343181
BaseRepresentation
bin110100000110110000…
…011101000000000000
312100102002220211012000
4310012300131000000
51404040133033330
641411354304000
74020304433142
oct640660350000
9170362824160
1055947939840
1121800176311
12aa14a28000
13537810b760
1429ca66ac92
1516c6b47560
hexd06c1d000

55947939840 has 832 divisors, whose sum is σ = 220394254080. Its totient is φ = 13377208320.

The previous prime is 55947939833. The next prime is 55947939877. The reversal of 55947939840 is 4893974955.

55947939840 is a `hidden beast` number, since 5 + 59 + 479 + 39 + 84 + 0 = 666.

55947939840 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (832).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309104550 + ... + 309104730.

It is an arithmetic number, because the mean of its divisors is an integer number (264896940).

Almost surely, 255947939840 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 55947939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110197127040).

55947939840 is an abundant number, since it is smaller than the sum of its proper divisors (164446314240).

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

55947939840 is a wasteful number, since it uses less digits than its factorization.

55947939840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 55947939840 in words is "fifty-five billion, nine hundred forty-seven million, nine hundred thirty-nine thousand, eight hundred forty".