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18208349952 = 283131995987
BaseRepresentation
bin10000111101010011…
…010101111100000000
31201222222020000102120
4100331103111330000
5244242314144302
612210444044240
71213135264242
oct207523257400
951888200376
1018208349952
1177a4158901
123641b33680
13194244c390
14c4a384092
157188119bc
hex43d4d5f00

18208349952 has 144 divisors (see below), whose sum is σ = 54935852160. Its totient is φ = 5307641856.

The previous prime is 18208349903. The next prime is 18208349981. The reversal of 18208349952 is 25994380281.

It is a junction number, because it is equal to n+sod(n) for n = 18208349895 and 18208349904.

It is a congruent number.

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, 141703 + ... + 237689.

Almost surely, 218208349952 is an apocalyptic number.

18208349952 is a gapful number since it is divisible by the number (12) 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 18208349952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27467926080).

18208349952 is an abundant number, since it is smaller than the sum of its proper divisors (36727502208).

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

18208349952 is a wasteful number, since it uses less digits than its factorization.

18208349952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96038 (or 96024 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 18208349952 in words is "eighteen billion, two hundred eight million, three hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 256 304 312 384 416 456 494 608 624 741 768 832 912 988 1216 1248 1482 1664 1824 1976 2432 2496 2964 3328 3648 3952 4864 4992 5928 7296 7904 9984 11856 14592 15808 23712 31616 47424 63232 94848 95987 189696 191974 287961 383948 575922 767896 1151844 1247831 1535792 1823753 2303688 2495662 3071584 3647506 3743493 4607376 4991324 5471259 6143168 7295012 7486986 9214752 9982648 10942518 12286336 14590024 14973972 18429504 19965296 21885036 23708789 24572672 29180048 29947944 36859008 39930592 43770072 47417578 58360096 59895888 71126367 73718016 79861184 87540144 94835156 116720192 119791776 142252734 159722368 175080288 189670312 233440384 239583552 284505468 319444736 350160576 379340624 466880768 479167104 569010936 700321152 758681248 958334208 1138021872 1400642304 1517362496 2276043744 3034724992 4552087488 6069449984 9104174976 18208349952