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428332723764 = 2231141425918583
BaseRepresentation
bin1100011101110101001…
…11101010111000110100
31111221121020120212100020
412032322213222320310
524004211134130024
6524435012445140
742642325036131
oct6167247527064
91457536525306
10428332723764
11155722724090
126b01b9197b0
133151247384a
1416a35003588
15b21de84979
hex63ba9eae34

428332723764 has 96 divisors (see below), whose sum is σ = 1117216558080. Its totient is φ = 126595449600.

The previous prime is 428332723759. The next prime is 428332723787. The reversal of 428332723764 is 467327233824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23040417 + ... + 23058999.

It is an arithmetic number, because the mean of its divisors is an integer number (11637672480).

Almost surely, 2428332723764 is an apocalyptic number.

428332723764 is a gapful number since it is divisible by the number (44) 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 428332723764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558608279040).

428332723764 is an abundant number, since it is smaller than the sum of its proper divisors (688883834316).

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

428332723764 is a wasteful number, since it uses less digits than its factorization.

428332723764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22901 (or 22899 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 51.

The spelling of 428332723764 in words is "four hundred twenty-eight billion, three hundred thirty-two million, seven hundred twenty-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 4259 5412 8518 12777 17036 18583 25554 37166 46849 51108 55749 74332 93698 111498 140547 174619 187396 204413 222996 281094 349238 408826 523857 562188 613239 698476 761903 817652 1047714 1226478 1523806 1920809 2095428 2285709 2452956 3047612 3841618 4571418 5762427 7683236 8380933 9142836 11524854 16761866 23049708 25142799 33523732 50285598 79144997 100571196 158289994 237434991 316579988 474869982 870594967 949739964 1741189934 2611784901 3244944877 3482379868 5223569802 6489889754 9734834631 10447139604 12979779508 19469669262 35694393647 38939338524 71388787294 107083180941 142777574588 214166361882 428332723764