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842069027961 = 327173125362761
BaseRepresentation
bin11000100000011110011…
…10011010110001111001
32222111112020102210021100
430100033032122301321
5102244024132343321
61442501405402013
7114560153432220
oct14201716326171
92874466383240
10842069027961
112a51350170a7
12117247269309
1361539894525
142ca83639cb7
1516d86774326
hexc40f39ac79

842069027961 has 48 divisors (see below), whose sum is σ = 1519330894848. Its totient is φ = 438268492800.

The previous prime is 842069027939. The next prime is 842069027971. The reversal of 842069027961 is 169720960248.

842069027961 is a `hidden beast` number, since 8 + 420 + 6 + 90 + 2 + 79 + 61 = 666.

842069027961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 842069027961 - 26 = 842069027897 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 842069027898 and 842069027907.

It is not an unprimeable number, because it can be changed into a prime (842069027971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12648180 + ... + 12714581.

It is an arithmetic number, because the mean of its divisors is an integer number (31652726976).

Almost surely, 2842069027961 is an apocalyptic number.

It is an amenable number.

842069027961 is a deficient number, since it is larger than the sum of its proper divisors (677261866887).

842069027961 is a wasteful number, since it uses less digits than its factorization.

842069027961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25362822 (or 25362819 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 842069027961 in words is "eight hundred forty-two billion, sixty-nine million, twenty-seven thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 17 21 31 51 63 93 119 153 217 279 357 527 651 1071 1581 1953 3689 4743 11067 33201 25362761 76088283 177539327 228264849 431166937 532617981 786245591 1293500811 1597853943 2358736773 3018168559 3880502433 5503719137 7076210319 9054505677 13366175047 16511157411 27163517031 40098525141 49533472233 93563225329 120295575423 280689675987 842069027961