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12342492540 = 2232579795629
BaseRepresentation
bin10110111111010101…
…10111110101111100
31011212011120120210100
423133222313311330
5200234134230130
65400422241100
7614600312160
oct133752676574
934764516710
1012342492540
115264019364
122485586190
1312190bc831
148512d2ca0
154c3874c60
hex2dfab7d7c

12342492540 has 72 divisors (see below), whose sum is σ = 42787311840. Its totient is φ = 2821140864.

The previous prime is 12342492529. The next prime is 12342492583. The reversal of 12342492540 is 4529424321.

It is a happy number.

12342492540 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 24 + 92 + 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 = 12342492495 and 12342492504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4896555 + ... + 4899074.

It is an arithmetic number, because the mean of its divisors is an integer number (594268220).

Almost surely, 212342492540 is an apocalyptic number.

12342492540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12342492540 is an abundant number, since it is smaller than the sum of its proper divisors (30444819300).

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

12342492540 is a wasteful number, since it uses less digits than its factorization.

12342492540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9795651 (or 9795646 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12342492540 in words is "twelve billion, three hundred forty-two million, four hundred ninety-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 9795629 19591258 29386887 39182516 48978145 58773774 68569403 88160661 97956290 117547548 137138806 146934435 176321322 195912580 205708209 274277612 293868870 342847015 352642644 411416418 440803305 587737740 617124627 685694030 822832836 881606610 1028541045 1234249254 1371388060 1763213220 2057082090 2468498508 3085623135 4114164180 6171246270 12342492540