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18649713978 = 23271673072887
BaseRepresentation
bin10001010111100111…
…000000110100111010
31210010201201122001100
4101113213000310322
5301143311321403
612322332032230
71230104644650
oct212747006472
953121648040
1018649713978
117a00306165
123745902676
1319b2a1431c
14c8cc34dd0
157424462a3
hex4579c0d3a

18649713978 has 96 divisors (see below), whose sum is σ = 46624241664. Its totient is φ = 5277501216.

The previous prime is 18649713977. The next prime is 18649714073. The reversal of 18649713978 is 87931794681.

18649713978 is a `hidden beast` number, since 1 + 8 + 6 + 497 + 139 + 7 + 8 = 666.

It is a super-2 number, since 2×186497139782 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (18649713977) 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 47 ways as a sum of consecutive naturals, for example, 6458451 + ... + 6461337.

It is an arithmetic number, because the mean of its divisors is an integer number (485669184).

Almost surely, 218649713978 is an apocalyptic number.

18649713978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18649713978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23312120832).

18649713978 is an abundant number, since it is smaller than the sum of its proper divisors (27974527686).

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

18649713978 is a wasteful number, since it uses less digits than its factorization.

18649713978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3373 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The spelling of 18649713978 in words is "eighteen billion, six hundred forty-nine million, seven hundred thirteen thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 167 307 334 501 614 921 1002 1169 1503 1842 2149 2338 2763 2887 3006 3507 4298 5526 5774 6447 7014 8661 10521 12894 17322 19341 20209 21042 25983 38682 40418 51269 51966 60627 102538 121254 153807 181881 307614 358883 363762 461421 482129 717766 886309 922842 964258 1076649 1446387 1772618 2153298 2658927 2892774 3229947 3374903 4339161 5317854 6204163 6459894 6749806 7976781 8678322 10124709 12408326 15953562 18612489 20249418 30374127 37224978 55837467 60748254 111674934 148013603 296027206 444040809 888081618 1036095221 1332122427 2072190442 2664244854 3108285663 6216571326 9324856989 18649713978