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5193115536 = 2437233153409
BaseRepresentation
bin1001101011000100…
…01010011110010000
3111101220202121021110
410311202022132100
541113414144121
62215150253320
7242455516350
oct46542123620
914356677243
105193115536
112225418624
12100b1b7240
13649b7543b
143739b0b60
15205da0d76
hex13588a790

5193115536 has 320 divisors, whose sum is σ = 16867491840. Its totient is φ = 1344245760.

The previous prime is 5193115523. The next prime is 5193115553. The reversal of 5193115536 is 6355113915.

It is a super-3 number, since 3×51931155363 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5193115494 and 5193115503.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12696900 + ... + 12697308.

It is an arithmetic number, because the mean of its divisors is an integer number (52710912).

Almost surely, 25193115536 is an apocalyptic number.

5193115536 is a gapful number since it is divisible by the number (56) 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 5193115536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8433745920).

5193115536 is an abundant number, since it is smaller than the sum of its proper divisors (11674376304).

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

5193115536 is a wasteful number, since it uses less digits than its factorization.

5193115536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 528 counting only the distinct ones).

The product of its digits is 60750, while the sum is 39.

The square root of 5193115536 is about 72063.2745300961. The cubic root of 5193115536 is about 1731.7133099540.

The spelling of 5193115536 in words is "five billion, one hundred ninety-three million, one hundred fifteen thousand, five hundred thirty-six".