Search a number
-
+
12625353540 = 22325224331271
BaseRepresentation
bin10111100001000011…
…11001101101000100
31012120212211102010200
423300201321231010
5201324042303130
65444445050500
7624603506622
oct136041715504
935525742120
1012625353540
115399756a88
122544256a30
1312628994c7
1487aac4512
154dd5ea760
hex2f0879b44

12625353540 has 72 divisors (see below), whose sum is σ = 38315204928. Its totient is φ = 3365152320.

The previous prime is 12625353523. The next prime is 12625353547. The reversal of 12625353540 is 4535352621.

12625353540 is a `hidden beast` number, since 1 + 2 + 62 + 5 + 3 + 53 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12625353495 and 12625353504.

It is not an unprimeable number, because it can be changed into a prime (12625353547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388105 + ... + 419375.

It is an arithmetic number, because the mean of its divisors is an integer number (532155624).

Almost surely, 212625353540 is an apocalyptic number.

12625353540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12625353540 is an abundant number, since it is smaller than the sum of its proper divisors (25689851388).

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

12625353540 is a wasteful number, since it uses less digits than its factorization.

12625353540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33529 (or 33524 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 12625353540 in words is "twelve billion, six hundred twenty-five million, three hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2243 4486 6729 8972 11215 13458 20187 22430 26916 31271 33645 40374 44860 62542 67290 80748 93813 100935 125084 134580 156355 187626 201870 281439 312710 375252 403740 469065 562878 625420 938130 1125756 1407195 1876260 2814390 5628780 70140853 140281706 210422559 280563412 350704265 420845118 631267677 701408530 841690236 1052112795 1262535354 1402817060 2104225590 2525070708 3156338385 4208451180 6312676770 12625353540