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234278482464 = 2534136952709
BaseRepresentation
bin1101101000110000010…
…1011111001000100000
3211101201021022000110000
43122030011133020200
512314300242414324
6255343120540000
722632432146445
oct3321405371040
9741637260400
10234278482464
11903a2106454
12394a3481600
1319127c0b6b0
14b4a68519cc
1561629d19c9
hex368c15f220

234278482464 has 120 divisors (see below), whose sum is σ = 742007116620. Its totient is φ = 72085676544.

The previous prime is 234278482447. The next prime is 234278482511. The reversal of 234278482464 is 464284872432.

234278482464 is a `hidden beast` number, since 2 + 3 + 4 + 27 + 84 + 82 + 464 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 217510304400 + 16768178064 = 466380^2 + 129492^2 .

It is a super-2 number, since 2×2342784824642 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 234278482464.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3442659 + ... + 3510050.

Almost surely, 2234278482464 is an apocalyptic number.

234278482464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234278482464 is an abundant number, since it is smaller than the sum of its proper divisors (507728634156).

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

234278482464 is a wasteful number, since it uses less digits than its factorization.

234278482464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6952744 (or 6952727 counting only the distinct ones).

The product of its digits is 16515072, while the sum is 54.

The spelling of 234278482464 in words is "two hundred thirty-four billion, two hundred seventy-eight million, four hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 6952709 13905418 20858127 27810836 41716254 55621672 62574381 83432508 90385217 111243344 125148762 166865016 180770434 187723143 222486688 250297524 271155651 333730032 361540868 375446286 500595048 542311302 563169429 667460064 723081736 750892572 813466953 1001190096 1084622604 1126338858 1446163472 1501785144 1626933906 2002380192 2169245208 2252677716 2440400859 2892326944 3003570288 3253867812 4338490416 4505355432 4880801718 6007140576 6507735624 7321202577 8676980832 9010710864 9761603436 13015471248 14642405154 18021421728 19523206872 26030942496 29284810308 39046413744 58569620616 78092827488 117139241232 234278482464