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104665895232 = 2631948315939
BaseRepresentation
bin110000101111010010…
…0101101000101000000
3101000011100100101020020
41201132210231011000
53203323432121412
6120025521213440
710363501300413
oct1413644550500
9330140311206
10104665895232
1140430195268
1218350491280
139b4038c0b2
1450cc9d1b7a
152ac8b9718c
hex185e92d140

104665895232 has 112 divisors (see below), whose sum is σ = 291613132800. Its totient is φ = 33039982080.

The previous prime is 104665895177. The next prime is 104665895263. The reversal of 104665895232 is 232598566401.

It is a happy number.

It is a congruent number.

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, 17620519 + ... + 17626457.

Almost surely, 2104665895232 is an apocalyptic number.

104665895232 is a gapful number since it is divisible by the number (12) 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 104665895232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145806566400).

104665895232 is an abundant number, since it is smaller than the sum of its proper divisors (186947237568).

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

104665895232 is a wasteful number, since it uses less digits than its factorization.

104665895232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10804 (or 10794 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 104665895232 in words is "one hundred four billion, six hundred sixty-five million, eight hundred ninety-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 4831 5939 9662 11878 14493 17817 19324 23756 28986 35634 38648 47512 57972 71268 77296 91789 95024 112841 115944 142536 154592 183578 190048 225682 231888 275367 285072 309184 338523 367156 380096 451364 463776 550734 570144 677046 734312 902728 927552 1101468 1140288 1354092 1468624 1805456 2202936 2708184 2937248 3610912 4405872 5416368 5874496 7221824 8811744 10832736 17623488 21665472 28691309 57382618 86073927 114765236 172147854 229530472 344295708 459060944 545134871 688591416 918121888 1090269742 1377182832 1635404613 1836243776 2180539484 2754365664 3270809226 4361078968 5508731328 6541618452 8722157936 13083236904 17444315872 26166473808 34888631744 52332947616 104665895232