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12048290368785 = 3251173333424391
BaseRepresentation
bin1010111101010011011000…
…0100010100110100010001
31120122210202001221000021200
42233110312010110310101
53034344344313300120
641342524100141413
72352313603250466
oct257246604246421
946583661830250
1012048290368785
1139257188a66a0
121427058097869
136951c21c02b8
142d91d723b66d
1515d60c65ce90
hexaf536114d11

12048290368785 has 48 divisors (see below), whose sum is σ = 23094307087488. Its totient is φ = 5761573459200.

The previous prime is 12048290368781. The next prime is 12048290368789. The reversal of 12048290368785 is 58786309284021.

12048290368785 is a `hidden beast` number, since 1 + 2 + 0 + 482 + 90 + 3 + 68 + 7 + 8 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (12048290368781) and next prime (12048290368789).

It is not a de Polignac number, because 12048290368785 - 22 = 12048290368781 is a prime.

It is a super-2 number, since 2×120482903687852 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12048290368781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166676061 + ... + 166748330.

It is an arithmetic number, because the mean of its divisors is an integer number (481131397656).

It is a 1-persistent number, because it is pandigital, but 2⋅12048290368785 = 24096580737570 is not.

Almost surely, 212048290368785 is an apocalyptic number.

12048290368785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12048290368785 is a deficient number, since it is larger than the sum of its proper divisors (11046016718703).

12048290368785 is a wasteful number, since it uses less digits than its factorization.

12048290368785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333424486 (or 333424483 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 12048290368785 in words is "twelve trillion, forty-eight billion, two hundred ninety million, three hundred sixty-eight thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 11 15 33 45 55 73 99 165 219 365 495 657 803 1095 2409 3285 4015 7227 12045 36135 333424391 1000273173 1667121955 3000819519 3667668301 5001365865 11003004903 15004097595 18338341505 24339980543 33009014709 55015024515 73019941629 121699902715 165045073545 219059824887 267739785973 365099708145 803219357919 1095299124435 1338698929865 2409658073757 4016096789595 12048290368785