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503426119680 = 21134511232399
BaseRepresentation
bin1110101001101101000…
…10001111100000000000
31210010102122001121220000
413110312202033200000
531222004041312210
61023134252520000
751241240261431
oct7246642174000
91703378047800
10503426119680
11184557a13970
1281698480000
133861bbba623
141a51a26d488
15d1667e9ac0
hex753688f800

503426119680 has 960 divisors, whose sum is σ = 2054916864000. Its totient is φ = 116687831040.

The previous prime is 503426119667. The next prime is 503426119711. The reversal of 503426119680 is 86911624305.

503426119680 is a `hidden beast` number, since 50 + 3 + 426 + 11 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 209847121 + ... + 209849519.

It is an arithmetic number, because the mean of its divisors is an integer number (2140538400).

Almost surely, 2503426119680 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 503426119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027458432000).

503426119680 is an abundant number, since it is smaller than the sum of its proper divisors (1551490744320).

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

503426119680 is a wasteful number, since it uses less digits than its factorization.

503426119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 503426119680 in words is "five hundred three billion, four hundred twenty-six million, one hundred nineteen thousand, six hundred eighty".