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68103878100 = 223521032204009
BaseRepresentation
bin111111011011010011…
…101011010111010100
320111210021110110121120
4333123103223113110
52103434043044400
651141514243540
74630451261316
oct773323532724
9214707413546
1068103878100
1126978955685
1211247a265b0
13656467102b
143420c7b7b6
151b88e1bca0
hexfdb4eb5d4

68103878100 has 72 divisors (see below), whose sum is σ = 198960390720. Its totient is φ = 17984705280.

The previous prime is 68103878093. The next prime is 68103878111. The reversal of 68103878100 is 187830186.

It is a super-2 number, since 2×681038781002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1071105 + ... + 1132904.

It is an arithmetic number, because the mean of its divisors is an integer number (2763338760).

Almost surely, 268103878100 is an apocalyptic number.

68103878100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68103878100 is an abundant number, since it is smaller than the sum of its proper divisors (130856512620).

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

68103878100 is a wasteful number, since it uses less digits than its factorization.

68103878100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204129 (or 2204122 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 68103878100 in words is "sixty-eight billion, one hundred three million, eight hundred seventy-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 412 515 618 1030 1236 1545 2060 2575 3090 5150 6180 7725 10300 15450 30900 2204009 4408018 6612027 8816036 11020045 13224054 22040090 26448108 33060135 44080180 55100225 66120270 110200450 132240540 165300675 220400900 227012927 330601350 454025854 661202700 681038781 908051708 1135064635 1362077562 2270129270 2724155124 3405193905 4540258540 5675323175 6810387810 11350646350 13620775620 17025969525 22701292700 34051939050 68103878100