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116803998756 = 223663292
BaseRepresentation
bin110110011001000001…
…1111001010000100100
3102011111021022221000000
41230302003321100210
53403203310430011
6125354203021300
711303340415344
oct1546203712044
9364437287000
10116803998756
11455998a3085
121a77950a830
13b026018983
145920abcd24
1530895e7356
hex1b320f9424

116803998756 has 63 divisors (see below), whose sum is σ = 306518730721. Its totient is φ = 38928514464.

The previous prime is 116803998713. The next prime is 116803998781. The reversal of 116803998756 is 657899308611.

The square root of 116803998756 is 341766.

It is a perfect power (a square), and thus also a powerful number.

116803998756 is a `hidden beast` number, since 1 + 168 + 0 + 399 + 87 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89141656356 + 27662342400 = 298566^2 + 166320^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 116803998693 and 116803998702.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 18452200 + ... + 18458528.

Almost surely, 2116803998756 is an apocalyptic number.

116803998756 is the 341766-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116803998756

116803998756 is an abundant number, since it is smaller than the sum of its proper divisors (189714731965).

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

116803998756 is an frugal number, since it uses more digits than its factorization.

116803998756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12680 (or 6334 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 116803998756 in words is "one hundred sixteen billion, eight hundred three million, nine hundred ninety-eight thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 6329 12658 18987 25316 37974 56961 75948 113922 170883 227844 341766 512649 683532 1025298 1537947 2050596 3075894 4613841 6151788 9227682 18455364 40056241 80112482 120168723 160224964 240337446 360506169 480674892 721012338 1081518507 1442024676 2163037014 3244555521 4326074028 6489111042 9733666563 12978222084 19467333126 29200999689 38934666252 58401999378 116803998756