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7001009496 = 23341317193183
BaseRepresentation
bin1101000010100101…
…01110110101011000
3200001220122010120000
412201102232311120
5103314224300441
63114411533000
7335330412255
oct64122566530
920056563500
107001009496
112a72984068
12143475a160
1387759a590
144a5b4042c
152ae9682b6
hex1a14aed58

7001009496 has 640 divisors, whose sum is σ = 24588748800. Its totient is φ = 1836380160.

The previous prime is 7001009473. The next prime is 7001009497. The reversal of 7001009496 is 6949001007.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7001009496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7001009497) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 84349471 + ... + 84349553.

It is an arithmetic number, because the mean of its divisors is an integer number (38419920).

Almost surely, 27001009496 is an apocalyptic number.

7001009496 is a gapful number since it is divisible by the number (76) 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 7001009496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12294374400).

7001009496 is an abundant number, since it is smaller than the sum of its proper divisors (17587739304).

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

7001009496 is a wasteful number, since it uses less digits than its factorization.

7001009496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 7001009496 is about 83672.0353284178. The cubic root of 7001009496 is about 1913.0231353226.

The spelling of 7001009496 in words is "seven billion, one million, nine thousand, four hundred ninety-six".