Search a number
-
+
7001938944 = 2103371121323
BaseRepresentation
bin1101000010101100…
…10001110000000000
3200001222101100112000
412201112101300000
5103314444021234
63114443504000
7335341333110
oct64126216000
920058340460
107001938944
112a73459400
121434b28000
13877834650
144a5d03040
152aea9d899
hex1a1591c00

7001938944 has 1056 divisors, whose sum is σ = 29272427520. Its totient is φ = 1605795840.

The previous prime is 7001938943. The next prime is 7001938961. The reversal of 7001938944 is 4498391007.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a self number, because there is not a number n which added to its sum of digits gives 7001938944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7001938943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 304432117 + ... + 304432139.

Almost surely, 27001938944 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 7001938944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14636213760).

7001938944 is an abundant number, since it is smaller than the sum of its proper divisors (22270488576).

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

7001938944 is a wasteful number, since it uses less digits than its factorization.

7001938944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7001938944 is about 83677.5892578174. The cubic root of 7001938944 is about 1913.1077886786.

The spelling of 7001938944 in words is "seven billion, one million, nine hundred thirty-eight thousand, nine hundred forty-four".