Search a number
-
+
12697084960 = 255711336683
BaseRepresentation
bin10111101001100111…
…00010010000100000
31012202212210202010221
423310303202100200
5202000423204320
65455530332424
7626434304260
oct136463422040
935685722127
1012697084960
11542619a94a
12256428a114
1312746c3131
148864377a0
154e4a693aa
hex2f4ce2420

12697084960 has 48 divisors (see below), whose sum is σ = 34282132416. Its totient is φ = 4353285888.

The previous prime is 12697084949. The next prime is 12697084999. The reversal of 12697084960 is 6948079621.

It is a happy number.

It is a super-2 number, since 2×126970849602 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12697084898 and 12697084907.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5667222 + ... + 5669461.

It is an arithmetic number, because the mean of its divisors is an integer number (714211092).

Almost surely, 212697084960 is an apocalyptic number.

12697084960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12697084960 is an abundant number, since it is smaller than the sum of its proper divisors (21585047456).

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

12697084960 is a wasteful number, since it uses less digits than its factorization.

12697084960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11336705 (or 11336697 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 12697084960 in words is "twelve billion, six hundred ninety-seven million, eighty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 11336683 22673366 45346732 56683415 79356781 90693464 113366830 158713562 181386928 226733660 317427124 362773856 396783905 453467320 634854248 793567810 906934640 1269708496 1587135620 1813869280 2539416992 3174271240 6348542480 12697084960