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55220175360 = 2937571409
BaseRepresentation
bin110011011011011000…
…010000001000000000
312021112101111120000000
4303123120100020000
51401042331102420
641211240000000
73663256513620
oct633330201000
9167471446000
1055220175360
1121467393069
12a851160000
1352903caa9c
14295bb46880
151682cdd690
hexcdb610200

55220175360 has 640 divisors, whose sum is σ = 227096179200. Its totient is φ = 12612796416.

The previous prime is 55220175359. The next prime is 55220175371. The reversal of 55220175360 is 6357102255.

55220175360 is a `hidden beast` number, since 5 + 5 + 220 + 1 + 75 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×552201753602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39190336 + ... + 39191744.

It is an arithmetic number, because the mean of its divisors is an integer number (354837780).

Almost surely, 255220175360 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 55220175360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113548089600).

55220175360 is an abundant number, since it is smaller than the sum of its proper divisors (171876003840).

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

55220175360 is an frugal number, since it uses more digits than its factorization.

55220175360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 55220175360 in words is "fifty-five billion, two hundred twenty million, one hundred seventy-five thousand, three hundred sixty".