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973868868 = 2232717593853
BaseRepresentation
bin111010000011000…
…000111101000100
32111212111122221100
4322003000331010
53443302300433
6240345220100
733063514560
oct7203007504
92455448840
10973868868
1145a7a6105
12232191630
131269bb18b
14934a86a0
155a76db13
hex3a0c0f44

973868868 has 144 divisors (see below), whose sum is σ = 3030168960. Its totient is φ = 257375232.

The previous prime is 973868849. The next prime is 973868869. The reversal of 973868868 is 868868379.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (973868869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250830 + ... + 254682.

It is an arithmetic number, because the mean of its divisors is an integer number (21042840).

Almost surely, 2973868868 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 973868868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515084480).

973868868 is an abundant number, since it is smaller than the sum of its proper divisors (2056300092).

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

973868868 is a wasteful number, since it uses less digits than its factorization.

973868868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3941 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The square root of 973868868 is about 31206.8721277862. The cubic root of 973868868 is about 991.2126309932.

It can be divided in two parts, 9738 and 68868, that added together give a triangular number (78606 = T396).

The spelling of 973868868 in words is "nine hundred seventy-three million, eight hundred sixty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 59 63 68 84 102 118 119 126 153 177 204 236 238 252 306 354 357 413 476 531 612 708 714 826 1003 1062 1071 1239 1428 1652 2006 2124 2142 2478 3009 3717 3853 4012 4284 4956 6018 7021 7434 7706 9027 11559 12036 14042 14868 15412 18054 21063 23118 26971 28084 34677 36108 42126 46236 53942 63189 65501 69354 80913 84252 107884 126378 131002 138708 161826 196503 227327 242739 252756 262004 323652 393006 454654 458507 485478 589509 681981 786012 909308 917014 970956 1179018 1363962 1375521 1591289 1834028 2045943 2358036 2727924 2751042 3182578 3864559 4091886 4126563 4773867 5502084 6365156 7729118 8183772 8253126 9547734 11593677 14321601 15458236 16506252 19095468 23187354 27051913 28643202 34781031 46374708 54103826 57286404 69562062 81155739 108207652 139124124 162311478 243467217 324622956 486934434 973868868