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55533993984 = 215347361
BaseRepresentation
bin110011101110000101…
…011000000000000000
312022100021000012020000
4303232011120000000
51402213200301414
641302330120000
74004120106000
oct635605300000
9168307005200
1055533993984
11216085456a7
12a91a280000
135310426591
14298b6b6000
1516a062bb09
hexcee158000

55533993984 has 640 divisors, whose sum is σ = 196657428000. Its totient is φ = 15606743040.

The previous prime is 55533993979. The next prime is 55533994031. The reversal of 55533993984 is 48939933555.

55533993984 is a `hidden beast` number, since 5 + 5 + 533 + 9 + 9 + 3 + 98 + 4 = 666.

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 39 ways as a sum of consecutive naturals, for example, 910393314 + ... + 910393374.

Almost surely, 255533993984 is an apocalyptic number.

55533993984 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 55533993984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98328714000).

55533993984 is an abundant number, since it is smaller than the sum of its proper divisors (141123434016).

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

55533993984 is an frugal number, since it uses more digits than its factorization.

55533993984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 73 counting only the distinct ones).

The product of its digits is 78732000, while the sum is 63.

The spelling of 55533993984 in words is "fifty-five billion, five hundred thirty-three million, nine hundred ninety-three thousand, nine hundred eighty-four".