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82107246004 = 2274240769149
BaseRepresentation
bin100110001110111111…
…0010010010110110100
321211221012021021002021
41030131332102112310
52321123423333004
6101415231122524
75634460034650
oct1143576222664
9254835237067
1082107246004
1131904444203
1213ab5673444
13798688bb44
143d8c98da60
1522084b7d54
hex131df925b4

82107246004 has 24 divisors (see below), whose sum is σ = 164220739200. Its totient is φ = 35187481056.

The previous prime is 82107245999. The next prime is 82107246029. The reversal of 82107246004 is 40064270128.

It is a happy number.

It is a super-2 number, since 2×821072460042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1152822 + ... + 1221970.

It is an arithmetic number, because the mean of its divisors is an integer number (6842530800).

Almost surely, 282107246004 is an apocalyptic number.

It is an amenable number.

82107246004 is an abundant number, since it is smaller than the sum of its proper divisors (82113493196).

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

82107246004 is a wasteful number, since it uses less digits than its factorization.

82107246004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111567 (or 111565 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 82107246004 in words is "eighty-two billion, one hundred seven million, two hundred forty-six thousand, four".

Divisors: 1 2 4 7 14 28 42407 69149 84814 138298 169628 276596 296849 484043 593698 968086 1187396 1936172 2932401643 5864803286 11729606572 20526811501 41053623002 82107246004