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6993076216 = 2372333716111
BaseRepresentation
bin1101000001101000…
…11101111111111000
3200001100201002010211
412200310131333320
5103310211414331
63113525520504
7335203111210
oct64064357770
920040632124
106993076216
112a69455735
121431b73134
13875a50629
144a4a77240
152addec8b1
hex1a0d1dff8

6993076216 has 64 divisors (see below), whose sum is σ = 15684065280. Its totient is φ = 2858042880.

The previous prime is 6993076171. The next prime is 6993076219. The reversal of 6993076216 is 6126703996.

It is a super-2 number, since 2×69930762162 = 97806229925569757312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6993076216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6993076219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426001 + ... + 442111.

It is an arithmetic number, because the mean of its divisors is an integer number (245063520).

Almost surely, 26993076216 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 6993076216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842032640).

6993076216 is an abundant number, since it is smaller than the sum of its proper divisors (8690989064).

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

6993076216 is a wasteful number, since it uses less digits than its factorization.

6993076216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16484 (or 16480 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 49.

The square root of 6993076216 is about 83624.6148929847. The cubic root of 6993076216 is about 1912.3002736507.

The spelling of 6993076216 in words is "six billion, nine hundred ninety-three million, seventy-six thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 337 644 674 1288 1348 2359 2696 4718 7751 9436 15502 16111 18872 31004 32222 54257 62008 64444 108514 112777 128888 217028 225554 370553 434056 451108 741106 902216 1482212 2593871 2964424 5187742 5429407 10375484 10858814 20750968 21717628 38005849 43435256 76011698 124876361 152023396 249752722 304046792 499505444 874134527 999010888 1748269054 3496538108 6993076216