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234474650064 = 243219412090239
BaseRepresentation
bin1101101001011111000…
…1110011100111010000
3211102012221102100210200
43122113301303213100
512320201002300224
6255414405255200
722640333432604
oct3322761634720
9742187370720
10234474650064
1190492911036
1239539104500
13191597534b5
14b4c4917504
156174d305c9
hex3697c739d0

234474650064 has 120 divisors (see below), whose sum is σ = 707588044800. Its totient is φ = 72238625280.

The previous prime is 234474650057. The next prime is 234474650071. The reversal of 234474650064 is 460056474432.

234474650064 is a `hidden beast` number, since 2 + 3 + 4 + 47 + 46 + 500 + 64 = 666.

234474650064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234474650057) and next prime (234474650071).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 932944 + ... + 1157295.

It is an arithmetic number, because the mean of its divisors is an integer number (5896567040).

Almost surely, 2234474650064 is an apocalyptic number.

234474650064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234474650064 is an abundant number, since it is smaller than the sum of its proper divisors (473113394736).

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

234474650064 is a wasteful number, since it uses less digits than its factorization.

234474650064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090313 (or 2090304 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 234474650064 in words is "two hundred thirty-four billion, four hundred seventy-four million, six hundred fifty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 41 48 57 72 76 82 114 123 144 152 164 171 228 246 304 328 342 369 456 492 656 684 738 779 912 984 1368 1476 1558 1968 2337 2736 2952 3116 4674 5904 6232 7011 9348 12464 14022 18696 28044 37392 56088 112176 2090239 4180478 6270717 8360956 12541434 16721912 18812151 25082868 33443824 37624302 39714541 50165736 75248604 79429082 85699799 100331472 119143623 150497208 158858164 171399598 238287246 257099397 300994416 317716328 342799196 357430869 476574492 514198794 635432656 685598392 714861738 771298191 953148984 1028397588 1371196784 1429723476 1542596382 1628296181 1906297968 2056795176 2859446952 3085192764 3256592362 4113590352 4884888543 5718893904 6170385528 6513184724 9769777086 12340771056 13026369448 14654665629 19539554172 26052738896 29309331258 39079108344 58618662516 78158216688 117237325032 234474650064