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503145934848 = 212341979817
BaseRepresentation
bin1110101001001011101…
…01011011000000000000
31210002201002211202120000
413110211311123000000
531220420324403343
61023050403320000
751231265611144
oct7244565330000
91702632752500
10503145934848
11184423843957
128161a680000
13385a5b39a9b
141a4d0d77224
15d14be01ed3
hex7525d5b000

503145934848 has 260 divisors, whose sum is σ = 1582169955960. Its totient is φ = 158886199296.

The previous prime is 503145934847. The next prime is 503145934877. The reversal of 503145934848 is 848439541305.

It is a happy number.

503145934848 is a `hidden beast` number, since 5 + 0 + 3 + 1 + 4 + 593 + 4 + 8 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 503145934794 and 503145934803.

It is not an unprimeable number, because it can be changed into a prime (503145934847) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6263836 + ... + 6343652.

Almost surely, 2503145934848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503145934848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791084977980).

503145934848 is an abundant number, since it is smaller than the sum of its proper divisors (1079024021112).

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

503145934848 is an equidigital number, since it uses as much as digits as its factorization.

503145934848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79872 (or 79841 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 503145934848 in words is "five hundred three billion, one hundred forty-five million, nine hundred thirty-four thousand, eight hundred forty-eight".