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55466256384 = 2113372111861
BaseRepresentation
bin110011101010000010…
…111110100000000000
312022011112112202201000
4303222002332200000
51402043330201014
641251510212000
74002335254200
oct635202764000
9168145482630
1055466256384
112158328a410
12a8bb654000
1352cc39a766
1429826c2400
1516996eb509
hexcea0be800

55466256384 has 576 divisors, whose sum is σ = 208616990400. Its totient is φ = 14399078400.

The previous prime is 55466256379. The next prime is 55466256389. The reversal of 55466256384 is 48365266455.

55466256384 is a `hidden beast` number, since 5 + 5 + 4 + 6 + 6 + 256 + 384 = 666.

It is an interprime number because it is at equal distance from previous prime (55466256379) and next prime (55466256389).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 55466256384.

It is not an unprimeable number, because it can be changed into a prime (55466256389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29803614 + ... + 29805474.

It is an arithmetic number, because the mean of its divisors is an integer number (362182275).

Almost surely, 255466256384 is an apocalyptic number.

55466256384 is a gapful number since it is divisible by the number (54) 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 55466256384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104308495200).

55466256384 is an abundant number, since it is smaller than the sum of its proper divisors (153150734016).

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

55466256384 is a wasteful number, since it uses less digits than its factorization.

55466256384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1884 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 55466256384 in words is "fifty-five billion, four hundred sixty-six million, two hundred fifty-six thousand, three hundred eighty-four".