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12157393340 = 2252953395491
BaseRepresentation
bin10110101001010001…
…10001100110111100
31011101021021120102102
423110220301212330
5144344243041330
65330211044232
7610162065311
oct132450614674
934337246372
1012157393340
115179593614
1224335a0678
1311b9951991
148348acd08
154b24b0945
hex2d4a319bc

12157393340 has 48 divisors (see below), whose sum is σ = 26909275680. Its totient is φ = 4606667520.

The previous prime is 12157393319. The next prime is 12157393351. The reversal of 12157393340 is 4339375121.

12157393340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12157393294 and 12157393303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167006 + ... + 228485.

It is an arithmetic number, because the mean of its divisors is an integer number (560609910).

Almost surely, 212157393340 is an apocalyptic number.

12157393340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12157393340 is an abundant number, since it is smaller than the sum of its proper divisors (14751882340).

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

12157393340 is a wasteful number, since it uses less digits than its factorization.

12157393340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395582 (or 395580 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The spelling of 12157393340 in words is "twelve billion, one hundred fifty-seven million, three hundred ninety-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 53 58 106 116 145 212 265 290 530 580 1060 1537 3074 6148 7685 15370 30740 395491 790982 1581964 1977455 3954910 7909820 11469239 20961023 22938478 41922046 45876956 57346195 83844092 104805115 114692390 209610230 229384780 419220460 607869667 1215739334 2431478668 3039348335 6078696670 12157393340