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503460006372 = 223213985000177
BaseRepresentation
bin1110101001110001000…
…11100000100111100100
31210010111222211020200200
413110320203200213210
531222041230200442
61023141503110500
751242131305441
oct7247043404744
91703458736620
10503460006372
111845750594a4
12816a78a2430
1338625c2371b
141a5209709c8
15d16979034c
hex75388e09e4

503460006372 has 18 divisors (see below), whose sum is σ = 1272635016198. Its totient is φ = 167820002112.

The previous prime is 503460006337. The next prime is 503460006383. The reversal of 503460006372 is 273600064305.

It can be written as a sum of positive squares in only one way, i.e., 487770940836 + 15689065536 = 698406^2 + 125256^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 13985000177 = 503460006372 / (5 + 0 + 3 + 4 + 6 + 0 + 0 + 0 + 6 + 3 + 7 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6992500053 + ... + 6992500124.

Almost surely, 2503460006372 is an apocalyptic number.

It is an amenable number.

503460006372 is an abundant number, since it is smaller than the sum of its proper divisors (769175009826).

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

503460006372 is a wasteful number, since it uses less digits than its factorization.

503460006372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13985000187 (or 13985000182 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 503460006372 in words is "five hundred three billion, four hundred sixty million, six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 13985000177 27970000354 41955000531 55940000708 83910001062 125865001593 167820002124 251730003186 503460006372