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2393664504 = 23372113147127
BaseRepresentation
bin1000111010101100…
…0110101111111000
320011211002202101220
42032223012233320
514400234231004
61033304312040
7113213545500
oct21653065770
96154082356
102393664504
111019185630
12569772620
132c1bab03a
14189c90a00
15e0223dd9
hex8eac6bf8

2393664504 has 384 divisors, whose sum is σ = 8068792320. Its totient is φ = 584236800.

The previous prime is 2393664467. The next prime is 2393664509. The reversal of 2393664504 is 4054663932.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2393664509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18847689 + ... + 18847815.

It is an arithmetic number, because the mean of its divisors is an integer number (21012480).

Almost surely, 22393664504 is an apocalyptic number.

2393664504 is a gapful number since it is divisible by the number (24) 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 2393664504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4034396160).

2393664504 is an abundant number, since it is smaller than the sum of its proper divisors (5675127816).

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

2393664504 is a wasteful number, since it uses less digits than its factorization.

2393664504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The square root of 2393664504 is about 48925.0907408458. The cubic root of 2393664504 is about 1337.6867537170.

The spelling of 2393664504 in words is "two billion, three hundred ninety-three million, six hundred sixty-four thousand, five hundred four".