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116890139664 = 243494972
BaseRepresentation
bin110110011011100110…
…0011111110000010000
3102011201021102100010000
41230313030133300100
53403342333432124
6125410521210000
711305434536124
oct1546714376020
9364637370100
10116890139664
1145633489011
121a7a2330900
13b03ab1921c
14592c303584
153091e606c9
hex1b3731fc10

116890139664 has 75 divisors (see below), whose sum is σ = 338349603757. Its totient is φ = 38959277184.

The previous prime is 116890139657. The next prime is 116890139671. The reversal of 116890139664 is 466931098611.

It is a happy number.

The square root of 116890139664 is 341892.

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

116890139664 is a `hidden beast` number, since 1 + 168 + 90 + 1 + 396 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (116890139657) and next prime (116890139671).

It can be written as a sum of positive squares in only one way, i.e., 5473040400 + 111417099264 = 73980^2 + 333792^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 116890139664.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 12303364 + ... + 12312860.

Almost surely, 2116890139664 is an apocalyptic number.

116890139664 is the 341892-nd square number.

It is an amenable number.

116890139664 is an abundant number, since it is smaller than the sum of its proper divisors (221459464093).

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

116890139664 is an frugal number, since it uses more digits than its factorization.

116890139664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19014 (or 9502 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 116890139664 in words is "one hundred sixteen billion, eight hundred ninety million, one hundred thirty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 9497 18994 28491 37988 56982 75976 85473 113964 151952 170946 227928 256419 341892 455856 512838 683784 769257 1025676 1367568 1538514 2051352 3077028 4102704 6154056 12308112 90193009 180386018 270579027 360772036 541158054 721544072 811737081 1082316108 1443088144 1623474162 2164632216 2435211243 3246948324 4329264432 4870422486 6493896648 7305633729 9740844972 12987793296 14611267458 19481689944 29222534916 38963379888 58445069832 116890139664