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30529596832 = 2574322713963
BaseRepresentation
bin11100011011101101…
…001010110110100000
32220210122211012122121
4130123231022312200
51000011034044312
622005231114024
72130360201640
oct343355126640
986718735577
1030529596832
1111a47185a69
125b00372914
132b570107c7
141698906520
15bda38b707
hex71bb4ada0

30529596832 has 96 divisors (see below), whose sum is σ = 70603771392. Its totient is φ = 12722621184.

The previous prime is 30529596781. The next prime is 30529596857. The reversal of 30529596832 is 23869592503.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 30529596832.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2179483 + ... + 2193445.

It is an arithmetic number, because the mean of its divisors is an integer number (735455952).

Almost surely, 230529596832 is an apocalyptic number.

30529596832 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 30529596832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35301885696).

30529596832 is an abundant number, since it is smaller than the sum of its proper divisors (40074174560).

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

30529596832 is a wasteful number, since it uses less digits than its factorization.

30529596832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14250 (or 14242 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 52.

The spelling of 30529596832 in words is "thirty billion, five hundred twenty-nine million, five hundred ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 227 301 344 454 602 688 908 1204 1376 1589 1816 2408 3178 3632 4816 6356 7264 9632 9761 12712 13963 19522 25424 27926 39044 50848 55852 68327 78088 97741 111704 136654 156176 195482 223408 273308 312352 390964 446816 546616 600409 781928 1093232 1200818 1563856 2186464 2401636 3127712 3169601 4202863 4803272 6339202 8405726 9606544 12678404 16811452 19213088 22187207 25356808 33622904 44374414 50713616 67245808 88748828 101427232 134491616 136292843 177497656 272585686 354995312 545171372 709990624 954049901 1090342744 1908099802 2180685488 3816199604 4361370976 7632399208 15264798416 30529596832