Search a number
-
+
6995102976 = 2835234889
BaseRepresentation
bin1101000001111000…
…01100110100000000
3200001111112001100000
412200330030310000
5103311221243401
63114041200000
7335226252141
oct64074146400
920044461300
106995102976
112a6a60a444
121432790000
138762accb4
144a5043ac8
152ae19d186
hex1a0f0cd00

6995102976 has 216 divisors, whose sum is σ = 21829429440. Its totient is φ = 2229866496.

The previous prime is 6995102971. The next prime is 6995102981. The reversal of 6995102976 is 6792015996.

It is an interprime number because it is at equal distance from previous prime (6995102971) and next prime (6995102981).

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6995102971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1428340 + ... + 1433228.

Almost surely, 26995102976 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 6995102976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10914714720).

6995102976 is an abundant number, since it is smaller than the sum of its proper divisors (14834326464).

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

6995102976 is an equidigital number, since it uses as much as digits as its factorization.

6995102976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4943 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The square root of 6995102976 is about 83636.7322173697. The cubic root of 6995102976 is about 1912.4849991903.

The spelling of 6995102976 in words is "six billion, nine hundred ninety-five million, one hundred two thousand, nine hundred seventy-six".