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18519005952 = 283241196043
BaseRepresentation
bin10001001111110100…
…011001101100000000
31202210121202222100100
4101033310121230000
5300411331142302
612301342322400
71223626644666
oct211764315400
952717688310
1018519005952
1179435502a7
123709b89400
13199190b4b5
14c7972cc36
15735c27d1c
hex44fd19b00

18519005952 has 108 divisors (see below), whose sum is σ = 54697452264. Its totient is φ = 6022410240.

The previous prime is 18519005881. The next prime is 18519006029. The reversal of 18519005952 is 25950091581.

18519005952 is a `hidden beast` number, since 1 + 8 + 51 + 9 + 0 + 0 + 595 + 2 = 666.

It is a super-2 number, since 2×185190059522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18519005898 and 18519005907.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3558 + ... + 192485.

Almost surely, 218519005952 is an apocalyptic number.

18519005952 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 18519005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27348726132).

18519005952 is an abundant number, since it is smaller than the sum of its proper divisors (36178446312).

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

18519005952 is a wasteful number, since it uses less digits than its factorization.

18519005952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196106 (or 196089 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 45.

The spelling of 18519005952 in words is "eighteen billion, five hundred nineteen million, five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 576 656 738 768 984 1152 1312 1476 1968 2304 2624 2952 3936 5248 5904 7872 10496 11808 15744 23616 31488 47232 94464 196043 392086 588129 784172 1176258 1568344 1764387 2352516 3136688 3528774 4705032 6273376 7057548 8037763 9410064 12546752 14115096 16075526 18820128 24113289 25093504 28230192 32151052 37640256 48226578 50187008 56460384 64302104 72339867 75280512 96453156 112920768 128604208 144679734 150561024 192906312 225841536 257208416 289359468 385812624 451683072 514416832 578718936 771625248 1028833664 1157437872 1543250496 2057667328 2314875744 3086500992 4629751488 6173001984 9259502976 18519005952