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12382585680 = 243551594107
BaseRepresentation
bin10111000100000111…
…10100001101010000
31011221222000112020110
423202003310031100
5200324420220210
65404413441320
7615565145613
oct134203641520
934858015213
1012382585680
115284712993
122496aa0240
1312244b989a
1485676c17a
154c7144420
hex2e20f4350

12382585680 has 40 divisors (see below), whose sum is σ = 38386016352. Its totient is φ = 3302022784.

The previous prime is 12382585651. The next prime is 12382585711. The reversal of 12382585680 is 8658528321.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 25796814 + ... + 25797293.

Almost surely, 212382585680 is an apocalyptic number.

12382585680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12382585680 is an abundant number, since it is smaller than the sum of its proper divisors (26003430672).

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

12382585680 is a wasteful number, since it uses less digits than its factorization.

12382585680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51594123 (or 51594117 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 12382585680 in words is "twelve billion, three hundred eighty-two million, five hundred eighty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 51594107 103188214 154782321 206376428 257970535 309564642 412752856 515941070 619129284 773911605 825505712 1031882140 1238258568 1547823210 2063764280 2476517136 3095646420 4127528560 6191292840 12382585680