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12749108459670 = 23351137412829683
BaseRepresentation
bin1011100110000110001000…
…0101001011100010010110
31200010210200021210201202000
42321201202011023202112
53132340133231202140
643040505400100130
72454043535605602
oct271414205134226
950123607721660
1012749108459670
1140759593a2060
12151aa42764646
1371630aca558b
143210bb05a502
15171978462a30
hexb986214b896

12749108459670 has 256 divisors, whose sum is σ = 39019757736960. Its totient is φ = 2933814297600.

The previous prime is 12749108459639. The next prime is 12749108459671. The reversal of 12749108459670 is 7695480194721.

12749108459670 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 9 + 108 + 459 + 6 + 70 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12749108459598 and 12749108459607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12749108459671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3090649 + ... + 5920331.

It is an arithmetic number, because the mean of its divisors is an integer number (152420928660).

Almost surely, 212749108459670 is an apocalyptic number.

12749108459670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12749108459670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19509878868480).

12749108459670 is an abundant number, since it is smaller than the sum of its proper divisors (26270649277290).

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

12749108459670 is a wasteful number, since it uses less digits than its factorization.

12749108459670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829788 (or 2829782 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 12749108459670 in words is "twelve trillion, seven hundred forty-nine billion, one hundred eight million, four hundred fifty-nine thousand, six hundred seventy".