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32414053656 = 233191732511637
BaseRepresentation
bin11110001100000001…
…110011010100011000
310002122222202112102210
4132030001303110120
51012340444204111
622520225355120
72225151624105
oct361401632430
9102588675383
1032414053656
11128239852a6
126347498aa0
13309756170a
1417d6cc5aac
15c9aa290a6
hex78c073518

32414053656 has 128 divisors (see below), whose sum is σ = 86187628800. Its totient is φ = 10130112000.

The previous prime is 32414053649. The next prime is 32414053687. The reversal of 32414053656 is 65635041423.

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, 19800070 + ... + 19801706.

It is an arithmetic number, because the mean of its divisors is an integer number (673340850).

Almost surely, 232414053656 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 32414053656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43093814400).

32414053656 is an abundant number, since it is smaller than the sum of its proper divisors (53773575144).

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

32414053656 is a wasteful number, since it uses less digits than its factorization.

32414053656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 32414053656 in words is "thirty-two billion, four hundred fourteen million, fifty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 173 228 251 346 456 502 519 692 753 1004 1038 1384 1506 1637 2008 2076 3012 3274 3287 4152 4769 4911 6024 6548 6574 9538 9822 9861 13096 13148 14307 19076 19644 19722 26296 28614 31103 38152 39288 39444 43423 57228 62206 78888 86846 93309 114456 124412 130269 173692 186618 248824 260538 283201 347384 373236 410887 521076 566402 746472 821774 825037 849603 1042152 1132804 1232661 1643548 1650074 1699206 2265608 2465322 2475111 3287096 3300148 3398412 4930644 4950222 5380819 6600296 6796824 7806853 9861288 9900444 10761638 15613706 16142457 19800888 21523276 23420559 31227412 32284914 43046552 46841118 62454824 64569828 71083451 93682236 129139656 142166902 187364472 213250353 284333804 426500706 568667608 853001412 1350585569 1706002824 2701171138 4051756707 5402342276 8103513414 10804684552 16207026828 32414053656