Search a number
-
+
31819042788 = 223132912755381
BaseRepresentation
bin11101101000100100…
…000000111111100100
310001010112010211222020
4131220210000333210
51010131133332123
622341212303140
72204335254411
oct355044007744
9101115124866
1031819042788
1112549024885
126200171ab0
1330011c1990
14177bc7b108
15c636947e3
hex768900fe4

31819042788 has 96 divisors (see below), whose sum is σ = 83365416960. Its totient is φ = 9378270720.

The previous prime is 31819042769. The next prime is 31819042799. The reversal of 31819042788 is 88724091813.

It is a self number, because there is not a number n which added to its sum of digits gives 31819042788.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546858 + ... + 602238.

It is an arithmetic number, because the mean of its divisors is an integer number (868389760).

Almost surely, 231819042788 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 31819042788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41682708480).

31819042788 is an abundant number, since it is smaller than the sum of its proper divisors (51546374172).

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

31819042788 is a wasteful number, since it uses less digits than its factorization.

31819042788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55557 (or 55555 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 31819042788 in words is "thirty-one billion, eight hundred nineteen million, forty-two thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 127 156 174 254 348 377 381 508 754 762 1131 1508 1524 1651 2262 3302 3683 4524 4953 6604 7366 9906 11049 14732 19812 22098 44196 47879 55381 95758 110762 143637 166143 191516 221524 287274 332286 574548 664572 719953 1439906 1606049 2159859 2879812 3212098 4319718 4818147 6424196 7033387 8639436 9636294 14066774 19272588 20878637 21100161 28133548 41757274 42200322 62635911 83514548 84400644 91434031 125271822 182868062 203968223 250543644 274302093 365736124 407936446 548604186 611904669 815872892 1097208372 1223809338 2447618676 2651586899 5303173798 7954760697 10606347596 15909521394 31819042788