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116864423200 = 25527118717581
BaseRepresentation
bin110110011010110101…
…0011001010100100000
3102011122111000210202101
41230311222121110200
53403314243020300
6125404202100144
711305003131040
oct1546552312440
9364574023671
10116864423200
114561aa13938
121a7957aa654
13b0356b3b95
145928b2b720
15308ea80b6a
hex1b35a99520

116864423200 has 144 divisors (see below), whose sum is σ = 326344987584. Its totient is φ = 40031769600.

The previous prime is 116864423177. The next prime is 116864423227. The reversal of 116864423200 is 2324468611.

It is a self number, because there is not a number n which added to its sum of digits gives 116864423200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6638410 + ... + 6655990.

It is an arithmetic number, because the mean of its divisors is an integer number (2266284636).

Almost surely, 2116864423200 is an apocalyptic number.

116864423200 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 116864423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163172493792).

116864423200 is an abundant number, since it is smaller than the sum of its proper divisors (209480564384).

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

116864423200 is a wasteful number, since it uses less digits than its factorization.

116864423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18795 (or 18782 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 116864423200 in words is "one hundred sixteen billion, eight hundred sixty-four million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1187 1400 2374 2800 4748 5600 5935 8309 9496 11870 16618 17581 18992 23740 29675 33236 35162 37984 41545 47480 59350 66472 70324 83090 87905 94960 118700 123067 132944 140648 166180 175810 189920 207725 237400 246134 265888 281296 332360 351620 415450 439525 474800 492268 562592 615335 664720 703240 830900 879050 949600 984536 1230670 1329440 1406480 1661800 1758100 1969072 2461340 2812960 3076675 3323600 3516200 3938144 4922680 6153350 6647200 7032400 9845360 12306700 14064800 19690720 20868647 24613400 41737294 49226800 83474588 98453600 104343235 146080529 166949176 208686470 292161058 333898352 417372940 521716175 584322116 667796704 730402645 834745880 1043432350 1168644232 1460805290 1669491760 2086864700 2337288464 2921610580 3338983520 3652013225 4173729400 4674576928 5843221160 7304026450 8347458800 11686442320 14608052900 16694917600 23372884640 29216105800 58432211600 116864423200