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114516437706 = 23211578365847
BaseRepresentation
bin110101010100110110…
…1100010101011001010
3101221120211212210011200
41222221231202223022
53334012202001311
6124335204405030
711162552442216
oct1525155425312
9357524783150
10114516437706
11446255a8660
121a23b3a6776
13aa5010a558
145784d6b946
152ea3881556
hex1aa9b62aca

114516437706 has 24 divisors (see below), whose sum is σ = 270675216864. Its totient is φ = 34701950760.

The previous prime is 114516437701. The next prime is 114516437713. The reversal of 114516437706 is 607734615411.

It is a happy number.

114516437706 is a `hidden beast` number, since 1 + 145 + 1 + 6 + 437 + 70 + 6 = 666.

It is a super-2 number, since 2×1145164377062 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114516437701) 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 11 ways as a sum of consecutive naturals, for example, 289182726 + ... + 289183121.

It is an arithmetic number, because the mean of its divisors is an integer number (11278134036).

Almost surely, 2114516437706 is an apocalyptic number.

114516437706 is an abundant number, since it is smaller than the sum of its proper divisors (156158779158).

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

114516437706 is a wasteful number, since it uses less digits than its factorization.

114516437706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578365866 (or 578365863 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 114516437706 in words is "one hundred fourteen billion, five hundred sixteen million, four hundred thirty-seven thousand, seven hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 578365847 1156731694 1735097541 3470195082 5205292623 6362024317 10410585246 12724048634 19086072951 38172145902 57258218853 114516437706