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168803919100 = 225217199498977
BaseRepresentation
bin1001110100110101111…
…1110110010011111100
3121010201020100120120201
42131031133312103330
510231202300402400
6205314125453244
715124055431555
oct2351537662374
9533636316521
10168803919100
1165653458963
1228870111224
1312bc22056cb
148254c8732c
1545ce83606a
hex274d7f64fc

168803919100 has 72 divisors (see below), whose sum is σ = 389801613600. Its totient is φ = 63230238720.

The previous prime is 168803919073. The next prime is 168803919127. The reversal of 168803919100 is 1919308861.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (168803919073) and next prime (168803919127).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88812 + ... + 587788.

It is an arithmetic number, because the mean of its divisors is an integer number (5413911300).

Almost surely, 2168803919100 is an apocalyptic number.

168803919100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168803919100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194900806800).

168803919100 is an abundant number, since it is smaller than the sum of its proper divisors (220997694500).

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

168803919100 is a wasteful number, since it uses less digits than its factorization.

168803919100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499207 (or 499200 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 46.

The spelling of 168803919100 in words is "one hundred sixty-eight billion, eight hundred three million, nine hundred nineteen thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 199 340 398 425 796 850 995 1700 1990 3383 3980 4975 6766 9950 13532 16915 19900 33830 67660 84575 169150 338300 498977 997954 1995908 2494885 4989770 8482609 9979540 12474425 16965218 24948850 33930436 42413045 49897700 84826090 99296423 169652180 198592846 212065225 397185692 424130450 496482115 848260900 992964230 1688039191 1985928460 2482410575 3376078382 4964821150 6752156764 8440195955 9929642300 16880391910 33760783820 42200979775 84401959550 168803919100