Search a number
-
+
31839711984 = 2434130718797
BaseRepresentation
bin11101101001110010…
…110111001011110000
310001011222000221210000
4131221302313023300
51010201431240414
622343231310000
72205006041433
oct355162671360
9101158027700
1031839711984
1112559761963
12620707b300
13300557a882
1417808db81a
15c653c8b09
hex769cb72f0

31839711984 has 100 divisors (see below), whose sum is σ = 92228777784. Its totient is φ = 10604552832.

The previous prime is 31839711983. The next prime is 31839711989. The reversal of 31839711984 is 48911793813.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 31839711984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31839711983) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1684474 + ... + 1703270.

Almost surely, 231839711984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31839711984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46114388892).

31839711984 is an abundant number, since it is smaller than the sum of its proper divisors (60389065800).

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

31839711984 is a wasteful number, since it uses less digits than its factorization.

31839711984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20124 (or 20109 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 31839711984 in words is "thirty-one billion, eight hundred thirty-nine million, seven hundred eleven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1307 2614 3921 5228 7842 10456 11763 15684 18797 20912 23526 31368 35289 37594 47052 56391 62736 70578 75188 94104 105867 112782 141156 150376 169173 188208 211734 225564 282312 300752 338346 423468 451128 507519 564624 676692 846936 902256 1015038 1353384 1522557 1693872 2030076 2706768 3045114 4060152 6090228 8120304 12180456 24360912 24567679 49135358 73703037 98270716 147406074 196541432 221109111 294812148 393082864 442218222 589624296 663327333 884436444 1179248592 1326654666 1768872888 1989981999 2653309332 3537745776 3979963998 5306618664 7959927996 10613237328 15919855992 31839711984