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12334511640 = 2335119344327
BaseRepresentation
bin10110111110011000…
…11011011000011000
31011211121120010001110
423133030123120120
5200230113333030
65355535220320
7614442422223
oct133714333030
934747503043
1012334511640
11525a568180
1224829776a0
131217556cc9
148502165ba
154c2cea1b0
hex2df31b618

12334511640 has 64 divisors (see below), whose sum is σ = 40367496960. Its totient is φ = 2990184320.

The previous prime is 12334511591. The next prime is 12334511689. The reversal of 12334511640 is 4611543321.

It is an interprime number because it is at equal distance from previous prime (12334511591) and next prime (12334511689).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12334511598 and 12334511607.

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, 4670844 + ... + 4673483.

It is an arithmetic number, because the mean of its divisors is an integer number (630742140).

Almost surely, 212334511640 is an apocalyptic number.

12334511640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12334511640 is an abundant number, since it is smaller than the sum of its proper divisors (28032985320).

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

12334511640 is a wasteful number, since it uses less digits than its factorization.

12334511640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9344352 (or 9344348 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 12334511640 in words is "twelve billion, three hundred thirty-four million, five hundred eleven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 9344327 18688654 28032981 37377308 46721635 56065962 74754616 93443270 102787597 112131924 140164905 186886540 205575194 224263848 280329810 308362791 373773080 411150388 513937985 560659620 616725582 822300776 1027875970 1121319240 1233451164 1541813955 2055751940 2466902328 3083627910 4111503880 6167255820 12334511640