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6863796968 = 237192734651
BaseRepresentation
bin1100110010001110…
…10011101011101000
3122201100110000100112
412121013103223220
5103024113000333
63053030553452
7332043211610
oct63107235350
918640400315
106863796968
112a02486286
1213b6808888
13855027c32
14491823a40
152a28b2948
hex1991d3ae8

6863796968 has 96 divisors (see below), whose sum is σ = 15739018560. Its totient is φ = 2748038400.

The previous prime is 6863796943. The next prime is 6863796983. The reversal of 6863796968 is 8696973686.

It is a super-2 number, since 2×68637969682 = 94223417635851986048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6863796898 and 6863796907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1473443 + ... + 1478093.

It is an arithmetic number, because the mean of its divisors is an integer number (163948110).

Almost surely, 26863796968 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 6863796968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7869509280).

6863796968 is an abundant number, since it is smaller than the sum of its proper divisors (8875221592).

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

6863796968 is a wasteful number, since it uses less digits than its factorization.

6863796968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 4752 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 68.

The square root of 6863796968 is about 82848.0353901045. The cubic root of 6863796968 is about 1900.4428301156.

The spelling of 6863796968 in words is "six billion, eight hundred sixty-three million, seven hundred ninety-six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 73 76 133 146 152 266 292 361 511 532 584 722 1022 1064 1387 1444 2044 2527 2774 2888 4088 4651 5054 5548 9302 9709 10108 11096 18604 19418 20216 26353 32557 37208 38836 52706 65114 77672 88369 105412 130228 176738 184471 210824 260456 339523 353476 368942 618583 679046 706952 737884 1237166 1358092 1475768 1679011 2376661 2474332 2716184 3358022 4753322 4948664 6450937 6716044 9506644 11753077 12901874 13432088 19013288 23506154 25803748 45156559 47012308 51607496 90313118 94024616 122567803 180626236 245135606 361252472 490271212 857974621 980542424 1715949242 3431898484 6863796968