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11346541668 = 22337111364423
BaseRepresentation
bin10101001000100111…
…00111110001100100
31002021202112001001000
422210103213301210
5141214203313133
65113523433300
7551115004260
oct124423476144
932252461030
1011346541668
1148a2910770
122247b25830
1310ba96c6a7
14798d1b0a0
154661e3413
hex2a44e7c64

11346541668 has 96 divisors (see below), whose sum is σ = 36675717120. Its totient is φ = 2947151520.

The previous prime is 11346541667. The next prime is 11346541699. The reversal of 11346541668 is 86614564311.

11346541668 is a `hidden beast` number, since 1 + 1 + 3 + 46 + 541 + 6 + 68 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11346541667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 673896 + ... + 690527.

It is an arithmetic number, because the mean of its divisors is an integer number (382038720).

Almost surely, 211346541668 is an apocalyptic number.

11346541668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11346541668 is an abundant number, since it is smaller than the sum of its proper divisors (25329175452).

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

11346541668 is a wasteful number, since it uses less digits than its factorization.

11346541668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364454 (or 1364446 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 11346541668 in words is "eleven billion, three hundred forty-six million, five hundred forty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 1364423 2728846 4093269 5457692 8186538 9550961 12279807 15008653 16373076 19101922 24559614 28652883 30017306 36839421 38203844 45025959 49119228 57305766 60034612 73678842 85958649 90051918 105060571 114611532 135077877 147357684 171917298 180103836 210121142 257875947 270155754 315181713 343834596 405233631 420242284 515751894 540311508 630363426 810467262 945545139 1031503788 1260726852 1620934524 1891090278 2836635417 3782180556 5673270834 11346541668