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114876658071 = 32722724133331
BaseRepresentation
bin110101011111100101…
…1101011000110010111
3101222111221200212121200
41222333023223012113
53340231411024241
6124435033243543
711204515324320
oct1527713530627
9358457625550
10114876658071
114479a97353a
121a31bb635b3
13aaa99316b6
1457bab39447
152ec52d84b6
hex1abf2eb197

114876658071 has 48 divisors (see below), whose sum is σ = 191269148928. Its totient is φ = 65081491200.

The previous prime is 114876658049. The next prime is 114876658093. The reversal of 114876658071 is 170856678411.

114876658071 is a `hidden beast` number, since 11 + 48 + 7 + 6 + 6 + 580 + 7 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (114876658049) and next prime (114876658093).

It is not a de Polignac number, because 114876658071 - 227 = 114742440343 is a prime.

It is a super-2 number, since 2×1148766580712 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114876657999 and 114876658017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114876658021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3429876 + ... + 3463206.

It is an arithmetic number, because the mean of its divisors is an integer number (3984773936).

Almost surely, 2114876658071 is an apocalyptic number.

114876658071 is a deficient number, since it is larger than the sum of its proper divisors (76392490857).

114876658071 is a wasteful number, since it uses less digits than its factorization.

114876658071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33812 (or 33809 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 114876658071 in words is "one hundred fourteen billion, eight hundred seventy-six million, six hundred fifty-eight thousand, seventy-one".

Divisors: 1 3 7 9 21 63 227 241 681 723 1589 1687 2043 2169 4767 5061 14301 15183 33331 54707 99993 164121 233317 299979 382949 492363 699951 1148847 2099853 3446541 7566137 8032771 22698411 24098313 52962959 56229397 68095233 72294939 158888877 168688191 476666631 506064573 1823439017 5470317051 12764073119 16410951153 38292219357 114876658071