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12431508432 = 2437349106013
BaseRepresentation
bin10111001001111100…
…11100001111010000
31012002101002001122020
423210332130033100
5200424431232212
65413322211440
7620031035550
oct134476341720
935071061566
1012431508432
1152aa298312
1224ab353b80
131231688865
1485d065160
154cb5a9d8c
hex2e4f9c3d0

12431508432 has 80 divisors (see below), whose sum is σ = 36808060800. Its totient is φ = 3541648896.

The previous prime is 12431508409. The next prime is 12431508469. The reversal of 12431508432 is 23480513421.

It is a junction number, because it is equal to n+sod(n) for n = 12431508393 and 12431508402.

It is a congruent number.

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, 64258 + ... + 170270.

It is an arithmetic number, because the mean of its divisors is an integer number (460100760).

Almost surely, 212431508432 is an apocalyptic number.

12431508432 is a gapful number since it is divisible by the number (12) 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 12431508432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18404030400).

12431508432 is an abundant number, since it is smaller than the sum of its proper divisors (24376552368).

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

12431508432 is a wasteful number, since it uses less digits than its factorization.

12431508432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106380 (or 106374 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 12431508432 in words is "twelve billion, four hundred thirty-one million, five hundred eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 349 698 1047 1396 2094 2443 2792 4188 4886 5584 7329 8376 9772 14658 16752 19544 29316 39088 58632 106013 117264 212026 318039 424052 636078 742091 848104 1272156 1484182 1696208 2226273 2544312 2968364 4452546 5088624 5936728 8905092 11873456 17810184 35620368 36998537 73997074 110995611 147994148 221991222 258989759 295988296 443982444 517979518 591976592 776969277 887964888 1035959036 1553938554 1775929776 2071918072 3107877108 4143836144 6215754216 12431508432