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18686951424 = 2143414081
BaseRepresentation
bin10001011001110101…
…000100000000000000
31210020022210111020000
4101121311010000000
5301232324421144
612330142120000
71231036315641
oct213165040000
953208714200
1018686951424
117a1a32a209
123756280000
1319ba65160b
14c93b696c8
1574584e769
hex459d44000

18686951424 has 150 divisors (see below), whose sum is σ = 55832412174. Its totient is φ = 6228541440.

The previous prime is 18686951401. The next prime is 18686951447. The reversal of 18686951424 is 42415968681.

18686951424 is a `hidden beast` number, since 1 + 8 + 68 + 69 + 514 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (18686951401) and next prime (18686951447).

It can be written as a sum of positive squares in only one way, i.e., 17857511424 + 829440000 = 133632^2 + 28800^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1320064 + ... + 1334144.

Almost surely, 218686951424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18686951424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27916206087).

18686951424 is an abundant number, since it is smaller than the sum of its proper divisors (37145460750).

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

18686951424 is an frugal number, since it uses more digits than its factorization.

18686951424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14121 (or 14086 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 18686951424 in words is "eighteen billion, six hundred eighty-six million, nine hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 8192 9216 10368 12288 13824 14081 16384 18432 20736 24576 27648 28162 36864 41472 42243 49152 55296 56324 73728 82944 84486 110592 112648 126729 147456 165888 168972 221184 225296 253458 331776 337944 380187 442368 450592 506916 663552 675888 760374 901184 1013832 1140561 1327104 1351776 1520748 1802368 2027664 2281122 2703552 3041496 3604736 4055328 4562244 5407104 6082992 7209472 8110656 9124488 10814208 12165984 14418944 16221312 18248976 21628416 24331968 28837888 32442624 36497952 43256832 48663936 57675776 64885248 72995904 86513664 97327872 115351552 129770496 145991808 173027328 194655744 230703104 259540992 291983616 346054656 389311488 519081984 583967232 692109312 778622976 1038163968 1167934464 1557245952 2076327936 2335868928 3114491904 4671737856 6228983808 9343475712 18686951424