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18846031296 = 2631916213187
BaseRepresentation
bin10001100011010011…
…111001110111000000
31210122102010120210010
4101203103321313000
5302044041000141
612354023504520
71235010423441
oct214323716700
953572116703
1018846031296
117aa1103284
12379b5b8140
131a145ac311
14caad392c8
157547c4416
hex4634f9dc0

18846031296 has 112 divisors (see below), whose sum is σ = 52536709760. Its totient is φ = 5945840640.

The previous prime is 18846031291. The next prime is 18846031319. The reversal of 18846031296 is 69213064881.

It is a super-2 number, since 2×188460312962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18846031291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5911815 + ... + 5915001.

Almost surely, 218846031296 is an apocalyptic number.

18846031296 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 18846031296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26268354880).

18846031296 is an abundant number, since it is smaller than the sum of its proper divisors (33690678464).

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

18846031296 is a wasteful number, since it uses less digits than its factorization.

18846031296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 18846031296 in words is "eighteen billion, eight hundred forty-six million, thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1621 1824 3187 3242 3648 4863 6374 6484 9561 9726 12748 12968 19122 19452 25496 25936 30799 38244 38904 50992 51872 60553 61598 76488 77808 92397 101984 103744 121106 123196 152976 155616 181659 184794 203968 242212 246392 305952 311232 363318 369588 484424 492784 611904 726636 739176 968848 985568 1453272 1478352 1937696 1971136 2906544 2956704 3875392 5166127 5813088 5913408 10332254 11626176 15498381 20664508 30996762 41329016 61993524 82658032 98156413 123987048 165316064 196312826 247974096 294469239 330632128 392625652 495948192 588938478 785251304 991896384 1177876956 1570502608 2355753912 3141005216 4711507824 6282010432 9423015648 18846031296