Search a number
-
+
3941874563445 = 325713962606731
BaseRepresentation
bin111001010111001010000…
…010000111100101110101
3111221211200000102120210200
4321113022002013211311
51004040424342012240
612214512220111113
7554535216644010
oct71271202074565
914854600376720
103941874563445
11128a8154768a5
12537b65995499
132279428372b0
14d8b05812377
156c80d0dd930
hex395ca087975

3941874563445 has 48 divisors (see below), whose sum is σ = 8409332410752. Its totient is φ = 1663384429440.

The previous prime is 3941874563413. The next prime is 3941874563447. The reversal of 3941874563445 is 5443654781493.

3941874563445 is a `hidden beast` number, since 3 + 9 + 4 + 187 + 4 + 5 + 6 + 3 + 445 = 666.

3941874563445 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 3941874563445 - 25 = 3941874563413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3941874563447) 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, 481299271 + ... + 481307460.

It is an arithmetic number, because the mean of its divisors is an integer number (175194425224).

Almost surely, 23941874563445 is an apocalyptic number.

3941874563445 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3941874563445 is an abundant number, since it is smaller than the sum of its proper divisors (4467457847307).

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

3941874563445 is a wasteful number, since it uses less digits than its factorization.

3941874563445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962606762 (or 962606759 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 3941874563445 in words is "three trillion, nine hundred forty-one billion, eight hundred seventy-four million, five hundred sixty-three thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 4095 962606731 2887820193 4813033655 6738247117 8663460579 12513887503 14439100965 20214741351 33691235585 37541662509 43317302895 60644224053 62569437515 87597212521 101073706755 112624987527 187708312545 262791637563 303221120265 437986062605 563124937635 788374912689 1313958187815 3941874563445