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116922279721 = 1322929072
BaseRepresentation
bin110110011100100011…
…1000110011100101001
3102011210111220012222111
41230321013012130221
53403424100422341
6125414030122321
711306304656662
oct1547107063451
9364714805874
10116922279721
114564a640345
121a7b10503a1
13b044690300
1459326ac369
153094bad681
hex1b391c6729

116922279721 has 27 divisors (see below), whose sum is σ = 131269220901. Its totient is φ = 104091702624.

The previous prime is 116922279709. The next prime is 116922279731. The reversal of 116922279721 is 127972229611.

The square root of 116922279721 is 341939.

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

It can be written as a sum of positive squares in 4 ways, for example, as 14992778025 + 101929501696 = 122445^2 + 319264^2 .

It is not a de Polignac number, because 116922279721 - 217 = 116922148649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (116922279701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 128910550 + ... + 128911456.

Almost surely, 2116922279721 is an apocalyptic number.

116922279721 is the 341939-th square number.

116922279721 is the 170970-th centered octagonal number.

It is an amenable number.

116922279721 is a deficient number, since it is larger than the sum of its proper divisors (14346941180).

116922279721 is an frugal number, since it uses more digits than its factorization.

116922279721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 949 counting only the distinct ones).

The product of its digits is 381024, while the sum is 49.

Multiplying 116922279721 by its sum of digits (49), we get a square (5729191706329 = 23935732).

The spelling of 116922279721 in words is "one hundred sixteen billion, nine hundred twenty-two million, two hundred seventy-nine thousand, seven hundred twenty-one".

Divisors: 1 13 29 169 377 841 907 4901 10933 11791 26303 142129 153283 341939 762787 822649 4445207 9916231 10694437 23856821 128911003 139027681 310138673 691847809 4031802749 8994021517 116922279721