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172684482048 = 29321329107929
BaseRepresentation
bin1010000011010011001…
…1000001011000000000
3121111201200022121012100
42200310303001120000
510312124211411143
6211155151430400
715322165610301
oct2406463013000
9544650277170
10172684482048
1167264985281
1229573825400
13133901694c0
1485023ca7a8
15475a3676d3
hex2834cc1600

172684482048 has 480 divisors, whose sum is σ = 561015655200. Its totient is φ = 50767331328.

The previous prime is 172684481999. The next prime is 172684482049. The reversal of 172684482048 is 840284486271.

172684482048 is a `hidden beast` number, since 172 + 6 + 8 + 448 + 20 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 172684481985 and 172684482003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172684482049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185881648 + ... + 185882576.

It is an arithmetic number, because the mean of its divisors is an integer number (1168782615).

Almost surely, 2172684482048 is an apocalyptic number.

172684482048 is a gapful number since it is divisible by the number (18) 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 172684482048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280507827600).

172684482048 is an abundant number, since it is smaller than the sum of its proper divisors (388331173152).

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

172684482048 is a wasteful number, since it uses less digits than its factorization.

172684482048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 172684482048 in words is "one hundred seventy-two billion, six hundred eighty-four million, four hundred eighty-two thousand, forty-eight".