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116951004361 = 1924124392
BaseRepresentation
bin110110011101011010…
…0101011010011001001
3102011212111221120210001
41230322310223103021
53404003424114421
6125420533523001
711310104064202
oct1547264532311
9364774846701
10116951004361
114566487a614
121a7ba7a3461
13b04a609939
1459364285a9
153097484691
hex1b3ad2b4c9

116951004361 has 27 divisors (see below), whose sum is σ = 126803049543. Its totient is φ = 107847128160.

The previous prime is 116951004347. The next prime is 116951004403. The reversal of 116951004361 is 163400159611.

The square root of 116951004361 is 341981.

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

It can be written as a sum of positive squares in only one way, i.e., 5635354761 + 111315649600 = 75069^2 + 333640^2 .

It is not a de Polignac number, because 116951004361 - 211 = 116951002313 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 116951004361.

It is not an unprimeable number, because it can be changed into a prime (116951004761) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 266402980 + ... + 266403418.

Almost surely, 2116951004361 is an apocalyptic number.

116951004361 is the 341981-st square number.

116951004361 is the 170991-st centered octagonal number.

It is an amenable number.

116951004361 is a deficient number, since it is larger than the sum of its proper divisors (9852045182).

116951004361 is an frugal number, since it uses more digits than its factorization.

116951004361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 116951004361 in words is "one hundred sixteen billion, nine hundred fifty-one million, four thousand, three hundred sixty-one".

Divisors: 1 19 41 361 439 779 1681 8341 14801 17999 31939 158479 192721 341981 606841 737959 3661699 6497639 7901561 14021221 69572281 150129659 266403199 323964001 2852463521 6155316019 116951004361