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117304376800 = 25521322934919
BaseRepresentation
bin110110100111111100…
…0101011110111100000
3102012210010212202122011
41231033320223313200
53410214410024200
6125515555522304
711321624515432
oct1551770536740
9365703782564
10117304376800
1145826298556
121a898bb9394
13b0a58a3b60
14596b332652
1530b84d75ba
hex1b4fe2bde0

117304376800 has 144 divisors (see below), whose sum is σ = 308594936160. Its totient is φ = 43284695040.

The previous prime is 117304376779. The next prime is 117304376807. The reversal of 117304376800 is 8673403711.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117304376807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23844741 + ... + 23849659.

It is an arithmetic number, because the mean of its divisors is an integer number (2143020390).

Almost surely, 2117304376800 is an apocalyptic number.

117304376800 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 117304376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154297468080).

117304376800 is an abundant number, since it is smaller than the sum of its proper divisors (191290559360).

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

117304376800 is a wasteful number, since it uses less digits than its factorization.

117304376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7245 (or 7232 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 117304376800 in words is "one hundred seventeen billion, three hundred four million, three hundred seventy-six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2293 2600 4586 4919 5200 9172 9838 10400 11465 18344 19676 22930 24595 29809 36688 39352 45860 49190 57325 59618 63947 73376 78704 91720 98380 114650 119236 122975 127894 149045 157408 183440 196760 229300 238472 245950 255788 298090 319735 366880 393520 458600 476944 491900 511576 596180 639470 745225 787040 917200 953888 983800 1023152 1192360 1278940 1490450 1598675 1834400 1967600 2046304 2384720 2557880 2980900 3197350 3935200 4769440 5115760 5961800 6394700 10231520 11279267 11923600 12789400 22558534 23847200 25578800 45117068 51157600 56396335 90234136 112792670 146630471 180468272 225585340 281981675 293260942 360936544 451170680 563963350 586521884 733152355 902341360 1127926700 1173043768 1466304710 1804682720 2255853400 2346087536 2932609420 3665761775 4511706800 4692175072 5865218840 7331523550 9023413600 11730437680 14663047100 23460875360 29326094200 58652188400 117304376800