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12634101088 = 257318920443
BaseRepresentation
bin10111100010000110…
…10001010101100000
31012121111021211111221
423301003101111200
5201333312213323
65445400344424
7625041041650
oct136103212540
935544254457
1012634101088
1153a3691164
122547175114
13126463cc7b
1487bd20360
154de27755d
hex2f10d1560

12634101088 has 96 divisors (see below), whose sum is σ = 29674874880. Its totient is φ = 5180820480.

The previous prime is 12634101083. The next prime is 12634101127. The reversal of 12634101088 is 88010143621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12634101083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607795 + ... + 628237.

It is an arithmetic number, because the mean of its divisors is an integer number (309113280).

Almost surely, 212634101088 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 12634101088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14837437440).

12634101088 is an abundant number, since it is smaller than the sum of its proper divisors (17040773792).

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

12634101088 is a wasteful number, since it uses less digits than its factorization.

12634101088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20580 (or 20572 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 12634101088 in words is "twelve billion, six hundred thirty-four million, one hundred one thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 89 112 124 178 217 224 248 356 434 496 623 712 868 992 1246 1424 1736 2492 2759 2848 3472 4984 5518 6944 9968 11036 19313 19936 20443 22072 38626 40886 44144 77252 81772 88288 143101 154504 163544 286202 309008 327088 572404 618016 633733 654176 1144808 1267466 1819427 2289616 2534932 3638854 4436131 4579232 5069864 7277708 8872262 10139728 12735989 14555416 17744524 20279456 25471978 29110832 35489048 50943956 56402237 58221664 70978096 101887912 112804474 141956192 203775824 225608948 394815659 407551648 451217896 789631318 902435792 1579262636 1804871584 3158525272 6317050544 12634101088