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116861415200 = 25521914951599
BaseRepresentation
bin110110011010101111…
…0111010111100100000
3102011122021100222112222
41230311132322330200
53403313010241300
6125404013410212
711304635432255
oct1546536727440
9364567328488
10116861415200
1145619249992
121a794799968
13b034b9c9ba
14592858742c
15308e689785
hex1b357baf20

116861415200 has 144 divisors (see below), whose sum is σ = 302324400000. Its totient is φ = 43986263040.

The previous prime is 116861415197. The next prime is 116861415211. The reversal of 116861415200 is 2514168611.

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, 2239001 + ... + 2290599.

It is an arithmetic number, because the mean of its divisors is an integer number (2099475000).

Almost surely, 2116861415200 is an apocalyptic number.

116861415200 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 116861415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151162200000).

116861415200 is an abundant number, since it is smaller than the sum of its proper divisors (185462984800).

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

116861415200 is a wasteful number, since it uses less digits than its factorization.

116861415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51787 (or 51774 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The spelling of 116861415200 in words is "one hundred sixteen billion, eight hundred sixty-one million, four hundred fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 149 152 160 190 200 298 304 380 400 475 596 608 745 760 800 950 1192 1490 1520 1900 2384 2831 2980 3040 3725 3800 4768 5662 5960 7450 7600 11324 11920 14155 14900 15200 22648 23840 28310 29800 45296 51599 56620 59600 70775 90592 103198 113240 119200 141550 206396 226480 257995 283100 412792 452960 515990 566200 825584 980381 1031980 1132400 1289975 1651168 1960762 2063960 2264800 2579950 3921524 4127920 4901905 5159900 7688251 7843048 8255840 9803810 10319800 15376502 15686096 19607620 20639600 24509525 30753004 31372192 38441255 39215240 41279200 49019050 61506008 76882510 78430480 98038100 123012016 146076769 153765020 156860960 192206275 196076200 246024032 292153538 307530040 384412550 392152400 584307076 615060080 730383845 768825100 784304800 1168614152 1230120160 1460767690 1537650200 2337228304 2921535380 3075300400 3651919225 4674456608 5843070760 6150600800 7303838450 11686141520 14607676900 23372283040 29215353800 58430707600 116861415200