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46140599504164 = 22112985342391963
BaseRepresentation
bin10100111110110111100100…
…00010110000110100100100
320001100222221201020102001211
422133123302002300310210
522021431421433113124
6242044410534401204
712501356032446604
oct1237336202606444
9201328851212054
1046140599504164
111377a13359aa50
125212435500204
131c99069770529
14b57307390c04
15550352346e94
hex29f6f20b0d24

46140599504164 has 48 divisors (see below), whose sum is σ = 91230897885120. Its totient is φ = 20226052909440.

The previous prime is 46140599504159. The next prime is 46140599504173.

46140599504164 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 46140599504099 and 46140599504108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20107554 + ... + 22284409.

It is an arithmetic number, because the mean of its divisors is an integer number (1900643705940).

Almost surely, 246140599504164 is an apocalyptic number.

46140599504164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46140599504164 is a deficient number, since it is larger than the sum of its proper divisors (45090298380956).

46140599504164 is a wasteful number, since it uses less digits than its factorization.

46140599504164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42392860 (or 42392858 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 58.

The spelling of 46140599504164 in words is "forty-six trillion, one hundred forty billion, five hundred ninety-nine million, five hundred four thousand, one hundred sixty-four".

Divisors: 1 2 4 11 22 29 44 58 116 319 638 853 1276 1706 3412 9383 18766 24737 37532 49474 98948 272107 544214 1088428 42391963 84783926 169567852 466311593 932623186 1229366927 1865246372 2458733854 4917467708 13523036197 27046072394 36160344439 54092144788 72320688878 144641377756 397763788829 795527577658 1048649988731 1591055155316 2097299977462 4194599954924 11535149876041 23070299752082 46140599504164