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415075928560 = 24522922656983
BaseRepresentation
bin1100000101001000111…
…01000000100111110000
31110200101100120220002021
412002210131000213300
523300033414203220
6514403325401224
741662653115336
oct6024435004760
91420340526067
10415075928560
1115003a5a4697
1268540109214
13301abb20527
141613850db56
15abe520a4aa
hex60a47409f0

415075928560 has 40 divisors (see below), whose sum is σ = 969265775520. Its totient is φ = 165305340672.

The previous prime is 415075928549. The next prime is 415075928567. The reversal of 415075928560 is 65829570514.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 415075928498 and 415075928507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415075928567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11310172 + ... + 11346811.

It is an arithmetic number, because the mean of its divisors is an integer number (24231644388).

Almost surely, 2415075928560 is an apocalyptic number.

415075928560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415075928560 is an abundant number, since it is smaller than the sum of its proper divisors (554189846960).

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

415075928560 is a wasteful number, since it uses less digits than its factorization.

415075928560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22657225 (or 22657219 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 52.

The spelling of 415075928560 in words is "four hundred fifteen billion, seventy-five million, nine hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 458 916 1145 1832 2290 3664 4580 9160 18320 22656983 45313966 90627932 113284915 181255864 226569830 362511728 453139660 906279320 1812558640 5188449107 10376898214 20753796428 25942245535 41507592856 51884491070 83015185712 103768982140 207537964280 415075928560