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172259808864 = 25311313103703
BaseRepresentation
bin1010000001101101111…
…1000001011001100000
3121110122002012222002220
42200123133001121200
510310242002340424
6211045101311040
715305521134123
oct2403337013140
9543562188086
10172259808864
1167067198000
1229475565480
13133231996b0
1484a1c423ba
154732e2d579
hex281b7c1660

172259808864 has 192 divisors, whose sum is σ = 535630330368. Its totient is φ = 48184097280.

The previous prime is 172259808817. The next prime is 172259808883. The reversal of 172259808864 is 468808952271.

It is a junction number, because it is equal to n+sod(n) for n = 172259808798 and 172259808807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1609237 + ... + 1712939.

It is an arithmetic number, because the mean of its divisors is an integer number (2789741304).

Almost surely, 2172259808864 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 172259808864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267815165184).

172259808864 is an abundant number, since it is smaller than the sum of its proper divisors (363370521504).

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

172259808864 is a wasteful number, since it uses less digits than its factorization.

172259808864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103762 (or 103732 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 60.

The spelling of 172259808864 in words is "one hundred seventy-two billion, two hundred fifty-nine million, eight hundred eight thousand, eight hundred sixty-four".