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5098364964 = 22337113071997
BaseRepresentation
bin1001011111110001…
…01110000000100100
3111011022110202221000
410233320232000210
540420140134324
62201523353300
7240225246540
oct45770560044
914138422830
105098364964
112186992070
12ba3522830
1363334c104
14365188a20
151ec8d69c9
hex12fe2e024

5098364964 has 192 divisors, whose sum is σ = 16541521920. Its totient is φ = 1319276160.

The previous prime is 5098364963. The next prime is 5098364987. The reversal of 5098364964 is 4694638905.

5098364964 is a `hidden beast` number, since 509 + 8 + 36 + 49 + 64 = 666.

It is a super-2 number, since 2×50983649642 = 51986650612285442592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5098364964.

It is not an unprimeable number, because it can be changed into a prime (5098364963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2552014 + ... + 2554010.

It is an arithmetic number, because the mean of its divisors is an integer number (86153760).

Almost surely, 25098364964 is an apocalyptic number.

5098364964 is a gapful number since it is divisible by the number (54) 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 5098364964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8270760960).

5098364964 is an abundant number, since it is smaller than the sum of its proper divisors (11443156956).

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

5098364964 is a wasteful number, since it uses less digits than its factorization.

5098364964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 5098364964 is about 71402.8358260370. The cubic root of 5098364964 is about 1721.1166541057.

The spelling of 5098364964 in words is "five billion, ninety-eight million, three hundred sixty-four thousand, nine hundred sixty-four".