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102726455220 = 2232517314723041
BaseRepresentation
bin101111110101011111…
…0010100111110110100
3100211011011221121200200
41133222332110332310
53140340433031340
6115105240240500
710264441314354
oct1375276247664
9324134847620
10102726455220
113a625451284
1217aaaa70130
1398c162985c
144d871bcb64
152a13798330
hex17eaf94fb4

102726455220 has 288 divisors, whose sum is σ = 347837607936. Its totient is φ = 24418713600.

The previous prime is 102726455219. The next prime is 102726455263. The reversal of 102726455220 is 22554627201.

102726455220 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 2 + 645 + 5 + 2 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4446900 + ... + 4469940.

It is an arithmetic number, because the mean of its divisors is an integer number (1207769472).

Almost surely, 2102726455220 is an apocalyptic number.

102726455220 is a gapful number since it is divisible by the number (10) 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 102726455220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173918803968).

102726455220 is an abundant number, since it is smaller than the sum of its proper divisors (245111152716).

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

102726455220 is a wasteful number, since it uses less digits than its factorization.

102726455220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23151 (or 23146 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 102726455220 in words is "one hundred two billion, seven hundred twenty-six million, four hundred fifty-five thousand, two hundred twenty".