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114849079488 = 263211132283379
BaseRepresentation
bin110101011110110001…
…0011110000011000000
3101222110000210201220200
41222331202132003000
53340202331020423
6124432210205200
711204032032303
oct1527542360300
9358400721820
10114849079488
1144786347320
121a312883800
13aaa3cc6900
1457b71dab3a
152ec2b8bd43
hex1abd89e0c0

114849079488 has 504 divisors, whose sum is σ = 391274320320. Its totient is φ = 31927633920.

The previous prime is 114849079487. The next prime is 114849079489. The reversal of 114849079488 is 884970948411.

114849079488 is a `hidden beast` number, since 1 + 1 + 4 + 84 + 9 + 0 + 79 + 488 = 666.

It is an interprime number because it is at equal distance from previous prime (114849079487) and next prime (114849079489).

It is a super-2 number, since 2×1148490794882 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114849079483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 303031683 + ... + 303032061.

Almost surely, 2114849079488 is an apocalyptic number.

114849079488 is a gapful number since it is divisible by the number (18) 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 114849079488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195637160160).

114849079488 is an abundant number, since it is smaller than the sum of its proper divisors (276425240832).

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

114849079488 is a wasteful number, since it uses less digits than its factorization.

114849079488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 114849079488 in words is "one hundred fourteen billion, eight hundred forty-nine million, seventy-nine thousand, four hundred eighty-eight".