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67381111104 = 2638919320431
BaseRepresentation
bin111110110000001110…
…100010100101000000
320102220220110002200120
4332300032202211000
52100444031023404
650542055020240
74603523665026
oct766016424500
9212826402616
1067381111104
112663797608a
121108596a680
13647a9bcc58
143392c98716
151b4574d9d9
hexfb03a2940

67381111104 has 112 divisors (see below), whose sum is σ = 181225301760. Its totient is φ = 22091857920.

The previous prime is 67381111097. The next prime is 67381111151. The reversal of 67381111104 is 40111118376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3287769 + ... + 3308199.

Almost surely, 267381111104 is an apocalyptic number.

67381111104 is a gapful number since it is divisible by the number (64) 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 67381111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90612650880).

67381111104 is an abundant number, since it is smaller than the sum of its proper divisors (113844190656).

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

67381111104 is a wasteful number, since it uses less digits than its factorization.

67381111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20728 (or 20718 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 67381111104 in words is "sixty-seven billion, three hundred eighty-one million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 178 192 193 267 356 386 534 579 712 772 1068 1158 1424 1544 2136 2316 2848 3088 4272 4632 5696 6176 8544 9264 12352 17088 17177 18528 20431 34354 37056 40862 51531 61293 68708 81724 103062 122586 137416 163448 206124 245172 274832 326896 412248 490344 549664 653792 824496 980688 1099328 1307584 1648992 1818359 1961376 3297984 3636718 3922752 3943183 5455077 7273436 7886366 10910154 11829549 14546872 15772732 21820308 23659098 29093744 31545464 43640616 47318196 58187488 63090928 87281232 94636392 116374976 126181856 174562464 189272784 252363712 349124928 350943287 378545568 701886574 757091136 1052829861 1403773148 2105659722 2807546296 4211319444 5615092592 8422638888 11230185184 16845277776 22460370368 33690555552 67381111104