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234716711680 = 2851146136161
BaseRepresentation
bin1101101010011000110…
…1001100101100000000
3211102211210220100220201
43122212031030230000
512321144434233210
6255454413414544
722646333062603
oct3324615145400
9742753810821
10234716711680
11905a7512560
12395a619a454
1319197946819
14b508b2833a
15618b1e753a
hex36a634cb00

234716711680 has 144 divisors (see below), whose sum is σ = 614678204448. Its totient is φ = 85164032000.

The previous prime is 234716711657. The next prime is 234716711731. The reversal of 234716711680 is 86117617432.

It is a self number, because there is not a number n which added to its sum of digits gives 234716711680.

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, 6472800 + ... + 6508960.

It is an arithmetic number, because the mean of its divisors is an integer number (4268598642).

Almost surely, 2234716711680 is an apocalyptic number.

234716711680 is a gapful number since it is divisible by the number (20) 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 234716711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307339102224).

234716711680 is an abundant number, since it is smaller than the sum of its proper divisors (379961492768).

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

234716711680 is a wasteful number, since it uses less digits than its factorization.

234716711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36654 (or 36640 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 234716711680 in words is "two hundred thirty-four billion, seven hundred sixteen million, seven hundred eleven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 461 640 704 880 922 1280 1408 1760 1844 2305 2816 3520 3688 4610 5071 7040 7376 9220 10142 14080 14752 18440 20284 25355 29504 36161 36880 40568 50710 59008 72322 73760 81136 101420 118016 144644 147520 162272 180805 202840 289288 295040 324544 361610 397771 405680 578576 590080 649088 723220 795542 811360 1157152 1298176 1446440 1591084 1622720 1988855 2314304 2892880 3182168 3245440 3977710 4628608 5785760 6364336 6490880 7955420 9257216 11571520 12728672 15910840 16670221 23143040 25457344 31821680 33340442 46286080 50914688 63643360 66680884 83351105 101829376 127286720 133361768 166702210 183372431 254573440 266723536 333404420 366744862 509146880 533447072 666808840 733489724 916862155 1066894144 1333617680 1466979448 1833724310 2133788288 2667235360 2933958896 3667448620 4267576576 5334470720 5867917792 7334897240 10668941440 11735835584 14669794480 21337882880 23471671168 29339588960 46943342336 58679177920 117358355840 234716711680