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55701872640 = 213345103163
BaseRepresentation
bin110011111000000101…
…110010000000000000
312022202221220022110000
4303320011302000000
51403034134411030
641331124240000
74011226051101
oct637005620000
9168687808400
1055701872640
1121694289397
12a966540000
13533914516b
1429a5ad63a8
1516b023d860
hexcf8172000

55701872640 has 560 divisors, whose sum is σ = 202865053248. Its totient is φ = 14619377664.

The previous prime is 55701872591. The next prime is 55701872659. The reversal of 55701872640 is 4627810755.

55701872640 is a `hidden beast` number, since 5 + 570 + 1 + 8 + 72 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

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, 341729199 + ... + 341729361.

Almost surely, 255701872640 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 55701872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101432526624).

55701872640 is an abundant number, since it is smaller than the sum of its proper divisors (147163180608).

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

55701872640 is a wasteful number, since it uses less digits than its factorization.

55701872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 55701872640 in words is "fifty-five billion, seven hundred one million, eight hundred seventy-two thousand, six hundred forty".