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116734947280 = 24571213171851
BaseRepresentation
bin110110010110111110…
…0011110111111010000
3102011022110101202011221
41230231330132333100
53403033121303110
6125343255014424
711301541452160
oct1545574367720
9364273352157
10116734947280
114556391a746
121a75a36a414
13b01491cb03
1459158665a0
1530835077da
hex1b2df1efd0

116734947280 has 80 divisors (see below), whose sum is σ = 310438952064. Its totient is φ = 39990182400.

The previous prime is 116734947253. The next prime is 116734947283. The reversal of 116734947280 is 82749437611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116734947283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593355 + ... + 765205.

Almost surely, 2116734947280 is an apocalyptic number.

116734947280 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 116734947280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155219476032).

116734947280 is an abundant number, since it is smaller than the sum of its proper divisors (193704004784).

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

116734947280 is a wasteful number, since it uses less digits than its factorization.

116734947280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173084 (or 173078 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 116734947280 in words is "one hundred sixteen billion, seven hundred thirty-four million, nine hundred forty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1213 2426 4852 6065 8491 9704 12130 16982 19408 24260 33964 42455 48520 67928 84910 97040 135856 169820 171851 339640 343702 679280 687404 859255 1202957 1374808 1718510 2405914 2749616 3437020 4811828 6014785 6874040 9623656 12029570 13748080 19247312 24059140 48118280 96236560 208455263 416910526 833821052 1042276315 1459186841 1667642104 2084552630 2918373682 3335284208 4169105260 5836747364 7295934205 8338210520 11673494728 14591868410 16676421040 23346989456 29183736820 58367473640 116734947280