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12434554760 = 2356112740127
BaseRepresentation
bin10111001010010100…
…00011111110001000
31012002120210211102012
423211022003332020
5200431221223020
65413511355052
7620065654145
oct134512037610
935076724365
1012434554760
115300a89041
1224b0382a88
1312321b4314
1485d6193cc
154cb9ac7c5
hex2e5283f88

12434554760 has 64 divisors (see below), whose sum is σ = 28661022720. Its totient is φ = 4853640960.

The previous prime is 12434554757. The next prime is 12434554789. The reversal of 12434554760 is 6745543421.

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, 289817 + ... + 329943.

It is an arithmetic number, because the mean of its divisors is an integer number (447828480).

Almost surely, 212434554760 is an apocalyptic number.

12434554760 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 12434554760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14330511360).

12434554760 is an abundant number, since it is smaller than the sum of its proper divisors (16226467960).

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

12434554760 is a wasteful number, since it uses less digits than its factorization.

12434554760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40326 (or 40322 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 41.

The spelling of 12434554760 in words is "twelve billion, four hundred thirty-four million, five hundred fifty-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 61 122 127 244 254 305 488 508 610 635 1016 1220 1270 2440 2540 5080 7747 15494 30988 38735 40127 61976 77470 80254 154940 160508 200635 309880 321016 401270 802540 1605080 2447747 4895494 5096129 9790988 10192258 12238735 19581976 20384516 24477470 25480645 40769032 48954940 50961290 97909880 101922580 203845160 310863869 621727738 1243455476 1554319345 2486910952 3108638690 6217277380 12434554760