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96399423432 = 233313138124859
BaseRepresentation
bin101100111000111011…
…0100111011111001000
3100012211020112002202000
41121301312213133020
53034411223022212
6112141342111000
76651603402504
oct1316166473710
9305736462660
1096399423432
1137978a63694
1216823b7b460
13912388a070
144946ba1304
1527930b21dc
hex1671da77c8

96399423432 has 128 divisors (see below), whose sum is σ = 288594768000. Its totient is φ = 29638690560.

The previous prime is 96399423383. The next prime is 96399423467. The reversal of 96399423432 is 23432499369.

96399423432 is a `hidden beast` number, since 96 + 3 + 99 + 423 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 3865419 + ... + 3890277.

It is an arithmetic number, because the mean of its divisors is an integer number (2254646625).

Almost surely, 296399423432 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 96399423432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144297384000).

96399423432 is an abundant number, since it is smaller than the sum of its proper divisors (192195344568).

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

96399423432 is a wasteful number, since it uses less digits than its factorization.

96399423432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26268 (or 26258 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 54.

The spelling of 96399423432 in words is "ninety-six billion, three hundred ninety-nine million, four hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1381 1404 2762 2808 4143 5524 8286 11048 12429 16572 17953 24858 24859 33144 35906 37287 49716 49718 53859 71812 74574 74577 99432 99436 107718 143624 149148 149154 161577 198872 215436 223731 298296 298308 323154 323167 430872 447462 484731 596616 646308 646334 671193 894924 969462 969501 1292616 1292668 1342386 1789848 1938924 1939002 2585336 2684772 2908503 3877848 3878004 5369544 5817006 7756008 8725509 11634012 17451018 23268024 34330279 34902036 68660558 69804072 102990837 137321116 205981674 274642232 308972511 411963348 446293627 617945022 823926696 892587254 926917533 1235890044 1338880881 1785174508 1853835066 2471780088 2677761762 3570349016 3707670132 4016642643 5355523524 7415340264 8033285286 10711047048 12049927929 16066570572 24099855858 32133141144 48199711716 96399423432