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12341742920 = 2351341578881
BaseRepresentation
bin10110111111010000…
…00000110101001000
31011212010011111111122
423133220000311020
5200233441233140
65400354214412
7614561040533
oct133750006510
934763144448
1012341742920
115263657141
122485284408
131218bb9580
14851179a1a
154c3777ab5
hex2dfa00d48

12341742920 has 64 divisors (see below), whose sum is σ = 30634435440. Its totient is φ = 4445798400.

The previous prime is 12341742893. The next prime is 12341742929. The reversal of 12341742920 is 2924714321.

It can be written as a sum of positive squares in 8 ways, for example, as 1643524 + 12340099396 = 1282^2 + 111086^2 .

It is not an unprimeable number, because it can be changed into a prime (12341742929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268121 + ... + 310760.

Almost surely, 212341742920 is an apocalyptic number.

12341742920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12341742920 is an abundant number, since it is smaller than the sum of its proper divisors (18292692520).

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

12341742920 is a wasteful number, since it uses less digits than its factorization.

12341742920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578946 (or 578942 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 12341742920 in words is "twelve billion, three hundred forty-one million, seven hundred forty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 260 328 410 520 533 820 1066 1640 2132 2665 4264 5330 10660 21320 578881 1157762 2315524 2894405 4631048 5788810 7525453 11577620 15050906 23155240 23734121 30101812 37627265 47468242 60203624 75254530 94936484 118670605 150509060 189872968 237341210 301018120 308543573 474682420 617087146 949364840 1234174292 1542717865 2468348584 3085435730 6170871460 12341742920