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7097836768 = 251122963211
BaseRepresentation
bin1101001110001000…
…00110010011100000
3200022122211110121021
412213010012103200
5104014021234033
63132151135224
7340614421441
oct64704062340
920278743537
107097836768
1130125a8900
121461074514
1389166cc19
144b49472c8
152b81e2b2d
hex1a71064e0

7097836768 has 72 divisors (see below), whose sum is σ = 15889600440. Its totient is φ = 3114988800.

The previous prime is 7097836751. The next prime is 7097836817. The reversal of 7097836768 is 8676387907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80683 + ... + 143893.

It is an arithmetic number, because the mean of its divisors is an integer number (220688895).

Almost surely, 27097836768 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 7097836768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7944800220).

7097836768 is an abundant number, since it is smaller than the sum of its proper divisors (8791763672).

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

7097836768 is a wasteful number, since it uses less digits than its factorization.

7097836768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63272 (or 63253 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 61.

The square root of 7097836768 is about 84248.6603335626. The cubic root of 7097836768 is about 1921.8021245359.

The spelling of 7097836768 in words is "seven billion, ninety-seven million, eight hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 121 176 232 242 319 352 464 484 638 928 968 1276 1936 2552 3509 3872 5104 7018 10208 14036 28072 56144 63211 112288 126422 252844 505688 695321 1011376 1390642 1833119 2022752 2781284 3666238 5562568 7332476 7648531 11125136 14664952 15297062 20164309 22250272 29329904 30594124 40328618 58659808 61188248 80657236 122376496 161314472 221807399 244752992 322628944 443614798 645257888 887229596 1774459192 3548918384 7097836768