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412333000032 = 25337116084741
BaseRepresentation
bin1100000000000001111…
…01100100010101100000
31110102022012021200111210
412000000331210111200
523223424222000112
6513231223110120
741534665446222
oct6000075442540
91412265250453
10412333000032
11149962257908
1267ab55a2340
132cb627862b5
1415d58104412
15aad44e5b3c
hex6000f64560

412333000032 has 48 divisors (see below), whose sum is σ = 1111627489392. Its totient is φ = 133729620480.

The previous prime is 412333000021. The next prime is 412333000039. The reversal of 412333000032 is 230000333214.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 412332999972 and 412333000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412333000039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58038819 + ... + 58045922.

It is an arithmetic number, because the mean of its divisors is an integer number (23158906029).

Almost surely, 2412333000032 is an apocalyptic number.

It is an amenable number.

412333000032 is an abundant number, since it is smaller than the sum of its proper divisors (699294489360).

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

412333000032 is a wasteful number, since it uses less digits than its factorization.

412333000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116084791 (or 116084783 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 412333000032 its reverse (230000333214), we get a palindrome (642333333246).

The spelling of 412333000032 in words is "four hundred twelve billion, three hundred thirty-three million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 116084741 232169482 348254223 464338964 696508446 928677928 1393016892 1857355856 2786033784 3714711712 4295135417 5572067568 8590270834 11144135136 12885406251 17180541668 25770812502 34361083336 51541625004 68722166672 103083250008 137444333344 206166500016 412333000032