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172428938240 = 21051317971571
BaseRepresentation
bin1010000010010110010…
…0001100110000000000
3121111001212110121222212
42200211210030300000
510311113302010430
6211113542321252
715312643535516
oct2404544146000
9544055417885
10172428938240
1167143705449
1229502129228
131334c235650
1484ba4aa4b6
154742bdab95
hex282590cc00

172428938240 has 352 divisors, whose sum is σ = 476813179584. Its totient is φ = 59265515520.

The previous prime is 172428938239. The next prime is 172428938249. The reversal of 172428938240 is 42839824271.

It is not an unprimeable number, because it can be changed into a prime (172428938249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109756655 + ... + 109758225.

Almost surely, 2172428938240 is an apocalyptic number.

172428938240 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 172428938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238406589792).

172428938240 is an abundant number, since it is smaller than the sum of its proper divisors (304384241344).

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

172428938240 is a wasteful number, since it uses less digits than its factorization.

172428938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 172428938240 in words is "one hundred seventy-two billion, four hundred twenty-eight million, nine hundred thirty-eight thousand, two hundred forty".