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472312680928 = 25114317094391
BaseRepresentation
bin1101101111110000000…
…01111001000111100000
31200011010021122011200121
412313320001321013200
530214244021242203
61000551043530024
746060230355444
oct6677001710740
91604107564617
10472312680928
11172341216920
1277654689914
1335700c4aa3a
1418c07dc8824
15c4450830bd
hex6df80791e0

472312680928 has 96 divisors (see below), whose sum is σ = 1018418365440. Its totient is φ = 213838656000.

The previous prime is 472312680911. The next prime is 472312680953. The reversal of 472312680928 is 829086213274.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107561613 + ... + 107566003.

It is an arithmetic number, because the mean of its divisors is an integer number (10608524640).

Almost surely, 2472312680928 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 472312680928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509209182720).

472312680928 is an abundant number, since it is smaller than the sum of its proper divisors (546105684512).

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

472312680928 is a wasteful number, since it uses less digits than its factorization.

472312680928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 472312680928 in words is "four hundred seventy-two billion, three hundred twelve million, six hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 431 709 862 1418 1724 2836 3448 4391 4741 5672 6896 7799 8782 9482 11344 13792 15598 17564 18964 22688 31196 35128 37928 48301 62392 70256 75856 96602 124784 140512 151712 193204 249568 305579 386408 611158 772816 1222316 1545632 1892521 2444632 3113219 3361369 3785042 4889264 6226438 6722738 7570084 9778528 12452876 13445476 15140168 20817731 24905752 26890952 30280336 34245409 41635462 49811504 53781904 60560672 68490818 83270924 99623008 107563808 136981636 166541848 273963272 333083696 547926544 666167392 1095853088 1341797389 2683594778 5367189556 10734379112 14759771279 21468758224 29519542558 42937516448 59039085116 118078170232 236156340464 472312680928