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10618812912 = 2433113995101
BaseRepresentation
bin10011110001110111…
…00011100111110000
31000102001011120212010
421320323203213300
5133221404003122
64513410002520
7524100264141
oct117073434760
930361146763
1010618812912
11455a052344
122084276440
131002c72066
1472a405ac8
15422394e0c
hex278ee39f0

10618812912 has 80 divisors (see below), whose sum is σ = 28342630400. Its totient is φ = 3422304000.

The previous prime is 10618812899. The next prime is 10618812947. The reversal of 10618812912 is 21921881601.

It is a super-2 number, since 2×106188129122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2079162 + ... + 2084262.

It is an arithmetic number, because the mean of its divisors is an integer number (354282880).

Almost surely, 210618812912 is an apocalyptic number.

10618812912 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 10618812912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14171315200).

10618812912 is an abundant number, since it is smaller than the sum of its proper divisors (17723817488).

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

10618812912 is a wasteful number, since it uses less digits than its factorization.

10618812912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6542 (or 6536 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 39.

The spelling of 10618812912 in words is "ten billion, six hundred eighteen million, eight hundred twelve thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1399 1488 2798 4197 5101 5596 8394 10202 11192 15303 16788 20404 22384 30606 33576 40808 43369 61212 67152 81616 86738 122424 130107 158131 173476 244848 260214 316262 346952 474393 520428 632524 693904 948786 1040856 1265048 1897572 2081712 2530096 3795144 7136299 7590288 14272598 21408897 28545196 42817794 57090392 85635588 114180784 171271176 221225269 342542352 442450538 663675807 884901076 1327351614 1769802152 2654703228 3539604304 5309406456 10618812912