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13514350500 = 2233537831723
BaseRepresentation
bin11001001011000010…
…01001111110100100
31021212211122010201000
430211201021332210
5210134133204000
610113003233300
7655620040530
oct144541117644
937784563630
1013514350500
115805553612
122751b18830
131374b0c901
14922bb8bc0
155416a2000
hex325849fa4

13514350500 has 384 divisors, whose sum is σ = 50604503040. Its totient is φ = 3050006400.

The previous prime is 13514350489. The next prime is 13514350517. The reversal of 13514350500 is 505341531.

13514350500 is a `hidden beast` number, since 13 + 5 + 143 + 5 + 0 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7842639 + ... + 7844361.

It is an arithmetic number, because the mean of its divisors is an integer number (131782560).

Almost surely, 213514350500 is an apocalyptic number.

13514350500 is a gapful number since it is divisible by the number (10) 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 13514350500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25302251520).

13514350500 is an abundant number, since it is smaller than the sum of its proper divisors (37090152540).

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

13514350500 is a wasteful number, since it uses less digits than its factorization.

13514350500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 13514350500 in words is "thirteen billion, five hundred fourteen million, three hundred fifty thousand, five hundred".