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7084838241 = 3213121349921
BaseRepresentation
bin1101001100100101…
…00000110101100001
3200021202101001222100
412212102200311201
5104002204310431
63131004401013
7340366063035
oct64622406541
920252331870
107084838241
11300622a918
121458846169
1388ba6b5a0
144b2d221c5
152b6ec64e6
hex1a64a0d61

7084838241 has 24 divisors (see below), whose sum is σ = 11030166056. Its totient is φ = 4356218880.

The previous prime is 7084838231. The next prime is 7084838249. The reversal of 7084838241 is 1428384807.

It can be written as a sum of positive squares in 4 ways, for example, as 107744400 + 6977093841 = 10380^2 + 83529^2 .

It is not a de Polignac number, because 7084838241 - 25 = 7084838209 is a prime.

It is a super-2 number, since 2×70848382412 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7084838249) 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, 116961 + ... + 166881.

Almost surely, 27084838241 is an apocalyptic number.

It is an amenable number.

7084838241 is a deficient number, since it is larger than the sum of its proper divisors (3945327815).

7084838241 is a wasteful number, since it uses less digits than its factorization.

7084838241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51153 (or 51150 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 7084838241 is about 84171.4811619708. The cubic root of 7084838241 is about 1920.6282522493.

The spelling of 7084838241 in words is "seven billion, eighty-four million, eight hundred thirty-eight thousand, two hundred forty-one".

Divisors: 1 3 9 13 39 117 1213 3639 10917 15769 47307 49921 141921 149763 449289 648973 1946919 5840757 60554173 181662519 544987557 787204249 2361612747 7084838241