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3125817472 = 271712711311
BaseRepresentation
bin1011101001010000…
…0011000010000000
322001211202222110111
42322110003002000
522400202124342
61234101041104
7140314003321
oct27224030200
98054688414
103125817472
111364495a28
127329b6194
133aa79734b
142191d8448
15134648217
hexba503080

3125817472 has 64 divisors (see below), whose sum is σ = 6646026240. Its totient is φ = 1459261440.

The previous prime is 3125817341. The next prime is 3125817503. The reversal of 3125817472 is 2747185213.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270697 + ... + 282007.

It is an arithmetic number, because the mean of its divisors is an integer number (103844160).

Almost surely, 23125817472 is an apocalyptic number.

3125817472 is a gapful number since it is divisible by the number (32) 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 3125817472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323013120).

3125817472 is an abundant number, since it is smaller than the sum of its proper divisors (3520208768).

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

3125817472 is a wasteful number, since it uses less digits than its factorization.

3125817472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11469 (or 11457 counting only the distinct ones).

The product of its digits is 94080, while the sum is 40.

The square root of 3125817472 is about 55909.0106512358. The cubic root of 3125817472 is about 1462.1363407988.

The spelling of 3125817472 in words is "three billion, one hundred twenty-five million, eight hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 127 128 136 254 272 508 544 1016 1088 2032 2159 2176 4064 4318 8128 8636 11311 16256 17272 22622 34544 45244 69088 90488 138176 180976 192287 276352 361952 384574 723904 769148 1436497 1447808 1538296 2872994 3076592 5745988 6153184 11491976 12306368 22983952 24420449 24612736 45967904 48840898 91935808 97681796 183871616 195363592 390727184 781454368 1562908736 3125817472