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18091046376 = 23321389217169
BaseRepresentation
bin10000110110010011…
…110111010111101000
31201200210111101011200
4100312103313113220
5244022301441001
612151053524200
71210212233304
oct206623672750
951623441150
1018091046376
117743a189a7
12360a7a3660
13192405a890
14c3896ad04
1570d390086
hex4364f75e8

18091046376 has 96 divisors (see below), whose sum is σ = 53358669000. Its totient is φ = 5503905792.

The previous prime is 18091046357. The next prime is 18091046377. The reversal of 18091046376 is 67364019081.

It is a happy number.

18091046376 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 1 + 0 + 4 + 637 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8176861476 + 9914184900 = 90426^2 + 99570^2 .

It is not an unprimeable number, because it can be changed into a prime (18091046377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25281 + ... + 191888.

Almost surely, 218091046376 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 18091046376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26679334500).

18091046376 is an abundant number, since it is smaller than the sum of its proper divisors (35267622624).

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

18091046376 is a wasteful number, since it uses less digits than its factorization.

18091046376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217283 (or 217276 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 18091046376 in words is "eighteen billion, ninety-one million, forty-six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 89 104 117 156 178 234 267 312 356 468 534 712 801 936 1068 1157 1602 2136 2314 3204 3471 4628 6408 6942 9256 10413 13884 20826 27768 41652 83304 217169 434338 651507 868676 1303014 1737352 1954521 2606028 2823197 3909042 5212056 5646394 7818084 8469591 11292788 15636168 16939182 19328041 22585576 25408773 33878364 38656082 50817546 57984123 67756728 77312164 101635092 115968246 154624328 173952369 203270184 231936492 251264533 347904738 463872984 502529066 695809476 753793599 1005058132 1391618952 1507587198 2010116264 2261380797 3015174396 4522761594 6030348792 9045523188 18091046376