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18852957216 = 2532236134643
BaseRepresentation
bin10001100011101110…
…010100110000100000
31210122220011110100200
4101203232110300200
5302102324112331
612354432145200
71235123330562
oct214356246040
953586143320
1018852957216
117aa5003885
1237a1998200
131a15b658b2
14cabc1d332
157551e15e6
hex463b94c20

18852957216 has 144 divisors (see below), whose sum is σ = 56047432896. Its totient is φ = 5999989248.

The previous prime is 18852957209. The next prime is 18852957223. The reversal of 18852957216 is 61275925881.

18852957216 is a `hidden beast` number, since 1 + 8 + 8 + 52 + 9 + 572 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (18852957209) and next prime (18852957223).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4058191 + ... + 4062833.

It is an arithmetic number, because the mean of its divisors is an integer number (389218284).

Almost surely, 218852957216 is an apocalyptic number.

18852957216 is a gapful number since it is divisible by the number (16) 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 18852957216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28023716448).

18852957216 is an abundant number, since it is smaller than the sum of its proper divisors (37194475680).

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

18852957216 is a wasteful number, since it uses less digits than its factorization.

18852957216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5295 (or 5284 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The spelling of 18852957216 in words is "eighteen billion, eight hundred fifty-two million, nine hundred fifty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 613 736 828 1104 1226 1656 1839 2208 2452 3312 3678 4643 4904 5517 6624 7356 9286 9808 11034 13929 14099 14712 18572 19616 22068 27858 28198 29424 37144 41787 42297 44136 55716 56396 58848 74288 83574 84594 88272 106789 111432 112792 126891 148576 167148 169188 176544 213578 222864 225584 253782 320367 334296 338376 427156 445728 451168 507564 640734 668592 676752 854312 961101 1015128 1281468 1337184 1353504 1708624 1922202 2030256 2562936 2846159 3417248 3844404 4060512 5125872 5692318 7688808 8538477 10251744 11384636 15377616 17076954 22769272 25615431 30755232 34153908 45538544 51230862 65461657 68307816 91077088 102461724 130923314 136615632 196384971 204923448 261846628 273231264 392769942 409846896 523693256 589154913 785539884 819693792 1047386512 1178309826 1571079768 2094773024 2356619652 3142159536 4713239304 6284319072 9426478608 18852957216