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12612290328 = 2334111769401
BaseRepresentation
bin10111011111100000…
…00100011100011000
31012112222020201210000
423233300010130120
5201312221242303
65443301053000
7624354461511
oct135760043430
935488221700
1012612290328
115392344440
12253b9b7160
13125cc745b1
14879083a08
154dc3b9da3
hex2efc04718

12612290328 has 80 divisors (see below), whose sum is σ = 38537575560. Its totient is φ = 3821904000.

The previous prime is 12612290309. The next prime is 12612290329. The reversal of 12612290328 is 82309221621.

It is a happy number.

12612290328 is a `hidden beast` number, since 1 + 2 + 612 + 2 + 9 + 0 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12612290292 and 12612290301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12612290329) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 877573 + ... + 891828.

Almost surely, 212612290328 is an apocalyptic number.

12612290328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12612290328 is an abundant number, since it is smaller than the sum of its proper divisors (25925285232).

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

12612290328 is a wasteful number, since it uses less digits than its factorization.

12612290328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769430 (or 1769417 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12612290328 in words is "twelve billion, six hundred twelve million, two hundred ninety thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 7128 1769401 3538802 5308203 7077604 10616406 14155208 15924609 19463411 21232812 31849218 38926822 42465624 47773827 58390233 63698436 77853644 95547654 116780466 127396872 143321481 155707288 175170699 191095308 233560932 286642962 350341398 382190616 467121864 525512097 573285924 700682796 1051024194 1146571848 1401365592 1576536291 2102048388 3153072582 4204096776 6306145164 12612290328