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172734303952 = 24723312375351
BaseRepresentation
bin1010000011011111000…
…1000100111011010000
3121111212011001211000001
42200313301010323100
510312224440211302
6211204131335344
715323342233540
oct2406761047320
9544764054001
10172734303952
1167290014201
1229588451554
131339a591812
148508c79320
15475e909787
hex2837c44ed0

172734303952 has 80 divisors (see below), whose sum is σ = 384507032832. Its totient is φ = 73637913600.

The previous prime is 172734303949. The next prime is 172734304003. The reversal of 172734303952 is 259303437271.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32278077 + ... + 32283427.

Almost surely, 2172734303952 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 172734303952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192253516416).

172734303952 is an abundant number, since it is smaller than the sum of its proper divisors (211772728880).

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

172734303952 is a wasteful number, since it uses less digits than its factorization.

172734303952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6836 (or 6830 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 46.

The spelling of 172734303952 in words is "one hundred seventy-two billion, seven hundred thirty-four million, three hundred three thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 233 466 932 1237 1631 1864 2474 3262 3728 4948 5351 6524 8659 9896 10702 13048 17318 19792 21404 26096 34636 37457 42808 69272 74914 85616 138544 149828 288221 299656 576442 599312 1152884 1246783 2017547 2305768 2493566 4035094 4611536 4987132 6619187 8070188 8727481 9974264 13238374 16140376 17454962 19948528 26476748 32280752 34909924 46334309 52953496 69819848 92668618 105906992 139639696 185337236 370674472 741348944 1542270571 3084541142 6169082284 10795893997 12338164568 21591787994 24676329136 43183575988 86367151976 172734303952