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505896930000 = 243254711371973
BaseRepresentation
bin1110101110010011100…
…11101000101011010000
31210100210211022210110100
413113021303220223100
531242034103230000
61024223354532400
751356411645160
oct7271163505320
91710724283410
10505896930000
111856056a0270
1282067a37100
1338923a69877
141a6b24825a0
15d25d6aba00
hex75c9ce8ad0

505896930000 has 1200 divisors, whose sum is σ = 2266512183936. Its totient is φ = 102228480000.

The previous prime is 505896929981. The next prime is 505896930023. The reversal of 505896930000 is 39698505.

505896930000 is a `hidden beast` number, since 5 + 0 + 589 + 69 + 3 + 0 + 0 + 0 + 0 = 666.

505896930000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1200).

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 239 ways as a sum of consecutive naturals, for example, 256409014 + ... + 256410986.

Almost surely, 2505896930000 is an apocalyptic number.

505896930000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505896930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133256091968).

505896930000 is an abundant number, since it is smaller than the sum of its proper divisors (1760615253936).

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

505896930000 is a wasteful number, since it uses less digits than its factorization.

505896930000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 505896930000 in words is "five hundred five billion, eight hundred ninety-six million, nine hundred thirty thousand".