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5168790000 = 2432541123227
BaseRepresentation
bin1001101000001010…
…10111100111110000
3111100012222201220200
410310011113213300
541041202240000
62212521035200
7242041663413
oct46405274760
914305881820
105168790000
112212713480
121003025b00
13644b0922a
1437067bb7a
15203b98500
hex1341579f0

5168790000 has 600 divisors, whose sum is σ = 20667284352. Its totient is φ = 1193280000.

The previous prime is 5168789993. The next prime is 5168790047. The reversal of 5168790000 is 978615.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22769887 + ... + 22770113.

Almost surely, 25168790000 is an apocalyptic number.

5168790000 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 5168790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10333642176).

5168790000 is an abundant number, since it is smaller than the sum of its proper divisors (15498494352).

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

5168790000 is a wasteful number, since it uses less digits than its factorization.

5168790000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 5168790000 is about 71894.2974094608. The cubic root of 5168790000 is about 1729.0051861268.

The spelling of 5168790000 in words is "five billion, one hundred sixty-eight million, seven hundred ninety thousand".