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12698643008 = 2619109149643
BaseRepresentation
bin10111101001110010…
…11110101001000000
31012202222201220101102
423310321132221000
5202001323034013
65500023553532
7626453453552
oct136471365100
935688656342
1012698643008
115427064497
1225648bb8a8
131274b1a35c
148867214d2
154e4c75d58
hex2f4e5ea40

12698643008 has 112 divisors (see below), whose sum is σ = 26990040000. Its totient is φ = 5910755328.

The previous prime is 12698642993. The next prime is 12698643031. The reversal of 12698643008 is 80034689621.

12698643008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126986430082 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 19748735 + ... + 19749377.

It is an arithmetic number, because the mean of its divisors is an integer number (240982500).

Almost surely, 212698643008 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 12698643008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13495020000).

12698643008 is an abundant number, since it is smaller than the sum of its proper divisors (14291396992).

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

12698643008 is a wasteful number, since it uses less digits than its factorization.

12698643008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 12698643008 in words is "twelve billion, six hundred ninety-eight million, six hundred forty-three thousand, eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 109 149 152 218 298 304 436 596 608 643 872 1192 1216 1286 1744 2071 2384 2572 2831 3488 4142 4768 5144 5662 6976 8284 9536 10288 11324 12217 16241 16568 20576 22648 24434 32482 33136 41152 45296 48868 64964 66272 70087 90592 95807 97736 129928 132544 140174 181184 191614 195472 259856 280348 308579 383228 390944 519712 560696 617158 766456 781888 1039424 1121392 1234316 1331653 1532912 1820333 2242784 2468632 2663306 3065824 3640666 4485568 4937264 5326612 6131648 7281332 9874528 10442963 10653224 14562664 19749056 20885926 21306448 29125328 41771852 42612896 58250656 83543704 85225792 116501312 167087408 198416297 334174816 396832594 668349632 793665188 1587330376 3174660752 6349321504 12698643008