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6993885696 = 29373120983
BaseRepresentation
bin1101000001101111…
…00011101000000000
3200001102020012112120
412200313203220000
5103310413320241
63113555124240
7335213022210
oct64067435000
920042205476
106993885696
112a69958926
1214322a3680
13875c74c05
144a4c08240
152ae00c666
hex1a0de3a00

6993885696 has 160 divisors (see below), whose sum is σ = 21981831168. Its totient is φ = 1933701120.

The previous prime is 6993885683. The next prime is 6993885719. The reversal of 6993885696 is 6965883996.

It is a self number, because there is not a number n which added to its sum of digits gives 6993885696.

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 15 ways as a sum of consecutive naturals, for example, 322821 + ... + 343803.

Almost surely, 26993885696 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 6993885696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10990915584).

6993885696 is an abundant number, since it is smaller than the sum of its proper divisors (14987945472).

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

6993885696 is a wasteful number, since it uses less digits than its factorization.

6993885696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21042 (or 21026 counting only the distinct ones).

The product of its digits is 151165440, while the sum is 69.

The square root of 6993885696 is about 83629.4547154291. The cubic root of 6993885696 is about 1912.3740565875.

The spelling of 6993885696 in words is "six billion, nine hundred ninety-three million, eight hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 512 651 672 744 768 868 896 992 1302 1344 1488 1536 1736 1792 1984 2604 2688 2976 3472 3584 3968 5208 5376 5952 6944 7936 10416 10752 11904 13888 15872 20832 20983 23808 27776 41664 41966 47616 55552 62949 83328 83932 111104 125898 146881 166656 167864 251796 293762 333312 335728 440643 503592 587524 650473 671456 881286 1007184 1175048 1300946 1342912 1762572 1951419 2014368 2350096 2601892 2685824 3525144 3902838 4028736 4553311 4700192 5203784 5371648 7050288 7805676 8057472 9106622 9400384 10407568 10743296 13659933 14100576 15611352 16114944 18213244 18800768 20815136 27319866 28201152 31222704 32229888 36426488 37601536 41630272 54639732 56402304 62445408 72852976 75203072 83260544 109279464 112804608 124890816 145705952 166521088 218558928 225609216 249781632 291411904 333042176 437117856 499563264 582823808 874235712 999126528 1165647616 1748471424 2331295232 3496942848 6993885696