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31619891961 = 3277128324979
BaseRepresentation
bin11101011100101100…
…010100001011111001
310000121122101221101200
4131130230110023321
51004224143020321
622305340004413
72166366434640
oct353454241371
9100548357350
1031619891961
1112456671919
126165530709
132c9bb74058
14175d63a357
15c50e56d26
hex75cb142f9

31619891961 has 48 divisors (see below), whose sum is σ = 53122268160. Its totient is φ = 17750365920.

The previous prime is 31619891959. The next prime is 31619891969. The reversal of 31619891961 is 16919891613.

It is a happy number.

31619891961 is a `hidden beast` number, since 3 + 1 + 619 + 8 + 9 + 19 + 6 + 1 = 666.

It is not a de Polignac number, because 31619891961 - 21 = 31619891959 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31619891898 and 31619891907.

It is not an unprimeable number, because it can be changed into a prime (31619891969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1253370 + ... + 1278348.

It is an arithmetic number, because the mean of its divisors is an integer number (1106713920).

Almost surely, 231619891961 is an apocalyptic number.

It is an amenable number.

31619891961 is a deficient number, since it is larger than the sum of its proper divisors (21502376199).

31619891961 is a wasteful number, since it uses less digits than its factorization.

31619891961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25346 (or 25343 counting only the distinct ones).

The product of its digits is 629856, while the sum is 54.

The spelling of 31619891961 in words is "thirty-one billion, six hundred nineteen million, eight hundred ninety-one thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 21 63 71 213 283 497 639 849 1491 1981 2547 4473 5943 17829 20093 24979 60279 74937 140651 174853 180837 224811 421953 524559 1265859 1573677 1773509 5320527 7069057 12414563 15961581 21207171 37243689 49483399 63621513 111731067 148450197 445350591 501903047 1505709141 3513321329 4517127423 10539963987 31619891961