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12496070976 = 263378321193
BaseRepresentation
bin10111010001101001…
…01110100101000000
31012020212120011210120
423220310232211000
5201042443232401
65423550100240
7621443564544
oct135064564500
935225504716
1012496070976
115332785094
122508aaa680
131241b7244c
1486786da24
154d20ae836
hex2e8d2e940

12496070976 has 112 divisors (see below), whose sum is σ = 34366833984. Its totient is φ = 4003762176.

The previous prime is 12496070963. The next prime is 12496071011. The reversal of 12496070976 is 67907069421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579036 + ... + 600228.

It is an arithmetic number, because the mean of its divisors is an integer number (306846732).

Almost surely, 212496070976 is an apocalyptic number.

12496070976 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 12496070976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17183416992).

12496070976 is an abundant number, since it is smaller than the sum of its proper divisors (21870763008).

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

12496070976 is a wasteful number, since it uses less digits than its factorization.

12496070976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21328 (or 21318 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 12496070976 in words is "twelve billion, four hundred ninety-six million, seventy thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 83 96 111 148 166 192 222 249 296 332 444 498 592 664 888 996 1184 1328 1776 1992 2368 2656 3071 3552 3984 5312 6142 7104 7968 9213 12284 15936 18426 21193 24568 36852 42386 49136 63579 73704 84772 98272 127158 147408 169544 196544 254316 294816 339088 508632 589632 678176 784141 1017264 1356352 1568282 1759019 2034528 2352423 3136564 3518038 4069056 4704846 5277057 6273128 7036076 9409692 10554114 12546256 14072152 18819384 21108228 25092512 28144304 37638768 42216456 50185024 56288608 65083703 75277536 84432912 112577216 130167406 150555072 168865824 195251109 260334812 337731648 390502218 520669624 781004436 1041339248 1562008872 2082678496 3124017744 4165356992 6248035488 12496070976