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18240251328 = 263413270659
BaseRepresentation
bin10000111111001101…
…000010010111000000
31202002012020202220000
4100333031002113000
5244324001020303
612213543520000
71214003402205
oct207715022700
952065222800
1018240251328
117810167882
123650759000
131948c3b930
14c506c9cac
1571b513da3
hex43f3425c0

18240251328 has 140 divisors (see below), whose sum is σ = 58229251080. Its totient is φ = 5612364288.

The previous prime is 18240251321. The next prime is 18240251329. The reversal of 18240251328 is 82315204281.

It is a happy number.

18240251328 is a `hidden beast` number, since 1 + 82 + 4 + 0 + 251 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18240251292 and 18240251301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18240251321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67938 + ... + 202721.

It is an arithmetic number, because the mean of its divisors is an integer number (415923222).

Almost surely, 218240251328 is an apocalyptic number.

18240251328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18240251328 is an abundant number, since it is smaller than the sum of its proper divisors (39988999752).

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

18240251328 is a wasteful number, since it uses less digits than its factorization.

18240251328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270696 (or 270677 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 18240251328 in words is "eighteen billion, two hundred forty million, two hundred fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 22464 33696 67392 270659 541318 811977 1082636 1623954 2165272 2435931 3247908 3518567 4330544 4871862 6495816 7037134 7307793 8661088 9743724 10555701 12991632 14074268 14615586 17322176 19487448 21111402 21923379 25983264 28148536 29231172 31667103 38974896 42222804 43846758 51966528 56297072 58462344 63334206 77949792 84445608 87693516 95001309 112594144 116924688 126668412 155899584 168891216 175387032 190002618 225188288 233849376 253336824 285003927 337782432 350774064 380005236 467698752 506673648 570007854 675564864 701548128 760010472 1013347296 1140015708 1403096256 1520020944 2026694592 2280031416 3040041888 4560062832 6080083776 9120125664 18240251328