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5136197040 = 2434513193209
BaseRepresentation
bin1001100100010010…
…00010010110110000
3111020221122211210000
410302021002112300
541004331301130
62205354310000
7241164645252
oct46211022660
914227584700
105136197040
1121a6281947
12bb4128300
1363b136c60
1436a1d5cd2
15200dab260
hex1322425b0

5136197040 has 400 divisors, whose sum is σ = 20228392800. Its totient is φ = 1197379584.

The previous prime is 5136197039. The next prime is 5136197081. The reversal of 5136197040 is 407916315.

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

It is a junction number, because it is equal to n+sod(n) for n = 5136196986 and 5136197004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1598956 + ... + 1602164.

It is an arithmetic number, because the mean of its divisors is an integer number (50570982).

Almost surely, 25136197040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5136197040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10114196400).

5136197040 is an abundant number, since it is smaller than the sum of its proper divisors (15092195760).

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

5136197040 is a wasteful number, since it uses less digits than its factorization.

5136197040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 5136197040 is about 71667.2661680352. The cubic root of 5136197040 is about 1725.3633109995.

The spelling of 5136197040 in words is "five billion, one hundred thirty-six million, one hundred ninety-seven thousand, forty".