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412073613 = 32755711743
BaseRepresentation
bin11000100011111…
…011111010001101
31001201101111201200
4120203323322031
51320442323423
6104520100113
713132365540
oct3043737215
91051344650
10412073613
111a1672006
12b6004639
13674aac53
143ca28857
152629ad43
hex188fbe8d

412073613 has 24 divisors (see below), whose sum is σ = 681527808. Its totient is φ = 235027872.

The previous prime is 412073611. The next prime is 412073621. The reversal of 412073613 is 316370214.

412073613 is a `hidden beast` number, since 41 + 2 + 0 + 7 + 3 + 613 = 666.

It is not a de Polignac number, because 412073613 - 21 = 412073611 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412073611) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29220 + ... + 40962.

It is an arithmetic number, because the mean of its divisors is an integer number (28396992).

Almost surely, 2412073613 is an apocalyptic number.

It is an amenable number.

412073613 is a deficient number, since it is larger than the sum of its proper divisors (269454195).

412073613 is a wasteful number, since it uses less digits than its factorization.

412073613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12313 (or 12310 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 412073613 is about 20299.5963752977. The cubic root of 412073613 is about 744.1462002405.

It can be divided in two parts, 412073 and 613, that added together give a triangular number (412686 = T908).

The spelling of 412073613 in words is "four hundred twelve million, seventy-three thousand, six hundred thirteen".

Divisors: 1 3 7 9 21 63 557 1671 3899 5013 11697 11743 35091 35229 82201 105687 246603 739809 6540851 19622553 45785957 58867659 137357871 412073613