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414482079968 = 25111177505909
BaseRepresentation
bin1100000100000010000…
…11101010000011100000
31110121211222011020221222
412002001003222003200
523242324403024333
6514224353234212
741642152356335
oct6020103520340
91417758136858
10414482079968
1114a865368430
12683b5262968
1330115a99828
14160bd6c898c
15abad005298
hex60810ea0e0

414482079968 has 24 divisors (see below), whose sum is σ = 890194467960. Its totient is φ = 188400945280.

The previous prime is 414482079937. The next prime is 414482079997. The reversal of 414482079968 is 869970284414.

It is a super-2 number, since 2×4144820799682 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414482079968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 588752603 + ... + 588753306.

It is an arithmetic number, because the mean of its divisors is an integer number (37091436165).

Almost surely, 2414482079968 is an apocalyptic number.

It is an amenable number.

414482079968 is an abundant number, since it is smaller than the sum of its proper divisors (475712387992).

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

414482079968 is a wasteful number, since it uses less digits than its factorization.

414482079968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177505930 (or 1177505922 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 62.

The spelling of 414482079968 in words is "four hundred fourteen billion, four hundred eighty-two million, seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1177505909 2355011818 4710023636 9420047272 12952564999 18840094544 25905129998 37680189088 51810259996 103620519992 207241039984 414482079968