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239328434688 = 293738957221
BaseRepresentation
bin1101111011100100010…
…1100001101000000000
3211212202012200011120120
43132321011201220000
512410121034402223
6301540154540240
723201532062310
oct3367105415000
9755665604516
10239328434688
1192553731292
123a472737680
13197512099c5
14b8253d7440
15635b003be3
hex37b9161a00

239328434688 has 160 divisors (see below), whose sum is σ = 730555562880. Its totient is φ = 68202577920.

The previous prime is 239328434687. The next prime is 239328434729. The reversal of 239328434688 is 886434823932.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (239328434687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4153918 + ... + 4211138.

It is an arithmetic number, because the mean of its divisors is an integer number (4565972268).

Almost surely, 2239328434688 is an apocalyptic number.

239328434688 is a gapful number since it is divisible by the number (28) 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 239328434688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365277781440).

239328434688 is an abundant number, since it is smaller than the sum of its proper divisors (491227128192).

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

239328434688 is an equidigital number, since it uses as much as digits as its factorization.

239328434688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57638 (or 57622 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 60.

The spelling of 239328434688 in words is "two hundred thirty-nine billion, three hundred twenty-eight million, four hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 389 448 512 672 768 778 896 1167 1344 1536 1556 1792 2334 2688 2723 3112 3584 4668 5376 5446 6224 8169 9336 10752 10892 12448 16338 18672 21784 24896 32676 37344 43568 49792 57221 65352 74688 87136 99584 114442 130704 149376 171663 174272 199168 228884 261408 298752 343326 348544 400547 457768 522816 597504 686652 697088 801094 915536 1045632 1201641 1373304 1394176 1602188 1831072 2091264 2403282 2746608 3204376 3662144 4182528 4806564 5493216 6408752 7324288 9613128 10986432 12817504 14648576 19226256 21972864 22258969 25635008 29297152 38452512 43945728 44517938 51270016 66776907 76905024 87891456 89035876 102540032 133553814 153810048 155812783 178071752 205080064 267107628 307620096 311625566 356143504 467438349 534215256 615240192 623251132 712287008 934876698 1068430512 1246502264 1424574016 1869753396 2136861024 2493004528 2849148032 3739506792 4273722048 4986009056 5698296064 7479013584 8547444096 9972018112 11396592128 14958027168 17094888192 19944036224 29916054336 34189776384 39888072448 59832108672 79776144896 119664217344 239328434688