Search a number
-
+
12640575880 = 2357110494243
BaseRepresentation
bin10111100010110111…
…11110000110001000
31012121221110210021001
423301123332012020
5201341441412010
65450151224344
7625150056622
oct136133760610
935557423231
1012640575880
1153a7303829
1225493780b4
131265a990ca
1487cb27c12
154deb05c3a
hex2f16fe188

12640575880 has 64 divisors (see below), whose sum is σ = 28876176000. Its totient is φ = 4979089920.

The previous prime is 12640575877. The next prime is 12640575901. The reversal of 12640575880 is 8857504621.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12640575880.

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, 2977039 + ... + 2981281.

It is an arithmetic number, because the mean of its divisors is an integer number (451190250).

Almost surely, 212640575880 is an apocalyptic number.

12640575880 is a gapful number since it is divisible by the number (10) 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 12640575880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14438088000).

12640575880 is an abundant number, since it is smaller than the sum of its proper divisors (16235600120).

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

12640575880 is a wasteful number, since it uses less digits than its factorization.

12640575880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374 (or 5370 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

The spelling of 12640575880 in words is "twelve billion, six hundred forty million, five hundred seventy-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1049 1420 2098 2840 4196 4243 5245 8392 8486 10490 16972 20980 21215 33944 41960 42430 74479 84860 148958 169720 297916 301253 372395 595832 602506 744790 1205012 1489580 1506265 2410024 2979160 3012530 4450907 6025060 8901814 12050120 17803628 22254535 35607256 44509070 89018140 178036280 316014397 632028794 1264057588 1580071985 2528115176 3160143970 6320287940 12640575880