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55398391776 = 253372131731191
BaseRepresentation
bin110011100110000000…
…000101111111100000
312021222210211212222000
4303212000011333200
51401423442014101
641241043444000
74000552363200
oct634600057740
9167883755860
1055398391776
1121548a47762
12a8a0986600
1352bb2c8ba0
142977698400
151693793486
hexce6005fe0

55398391776 has 1152 divisors, whose sum is σ = 222396088320. Its totient is φ = 13237862400.

The previous prime is 55398391757. The next prime is 55398391819. The reversal of 55398391776 is 67719389355.

55398391776 is a `hidden beast` number, since 5 + 539 + 8 + 3 + 91 + 7 + 7 + 6 = 666.

It is a super-2 number, since 2×553983917762 (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 290043841 + ... + 290044031.

It is an arithmetic number, because the mean of its divisors is an integer number (193052160).

Almost surely, 255398391776 is an apocalyptic number.

55398391776 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 55398391776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111198044160).

55398391776 is an abundant number, since it is smaller than the sum of its proper divisors (166997696544).

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

55398391776 is a wasteful number, since it uses less digits than its factorization.

55398391776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 264 counting only the distinct ones).

The product of its digits is 42865200, while the sum is 63.

The spelling of 55398391776 in words is "fifty-five billion, three hundred ninety-eight million, three hundred ninety-one thousand, seven hundred seventy-six".