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13905168526641 = 374715559905477
BaseRepresentation
bin1100101001011000110010…
…1000010110110100110001
31211020022200002202222011110
43022112030220112310301
53310310241120323031
645323540215303533
72633421016210620
oct312261450266461
954208602688143
1013905168526641
114481170143107
121686ab897aba9
1379b33718a8c2
14361029a1b6b7
15191a8a808c46
hexca58ca16d31

13905168526641 has 32 divisors (see below), whose sum is σ = 21641069076480. Its totient is φ = 7776242375616.

The previous prime is 13905168526631. The next prime is 13905168526727. The reversal of 13905168526641 is 14662586150931.

It is not a de Polignac number, because 13905168526641 - 233 = 13896578592049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13905168526631) 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, 14903995 + ... + 15809471.

It is an arithmetic number, because the mean of its divisors is an integer number (676283408640).

Almost surely, 213905168526641 is an apocalyptic number.

It is an amenable number.

13905168526641 is a deficient number, since it is larger than the sum of its proper divisors (7735900549839).

13905168526641 is a wasteful number, since it uses less digits than its factorization.

13905168526641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921093.

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 13905168526641 in words is "thirteen trillion, nine hundred five billion, one hundred sixty-eight million, five hundred twenty-six thousand, six hundred forty-one".

Divisors: 1 3 7 21 47 141 329 987 15559 46677 108913 326739 731273 905477 2193819 2716431 5118911 6338339 15356733 19015017 42557419 127672257 297901933 893705799 14088316643 42264949929 98618216501 295854649503 662150882221 1986452646663 4635056175547 13905168526641