Search a number
-
+
31840811808 = 2531356345317
BaseRepresentation
bin11101101001110111…
…000011101100100000
310001012001002211110020
4131221313003230200
51010202221434213
622343311033440
72205021302061
oct355167035440
9101161084406
1031840811808
111255a343203
12620750b880
133005874360
141780b06568
15c65544923
hex769dc3b20

31840811808 has 96 divisors (see below), whose sum is σ = 90173393856. Its totient is φ = 9779555328.

The previous prime is 31840811803. The next prime is 31840811831. The reversal of 31840811808 is 80811804813.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 31840811808.

It is not an unprimeable number, because it can be changed into a prime (31840811803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679966 + ... + 725282.

It is an arithmetic number, because the mean of its divisors is an integer number (939306186).

Almost surely, 231840811808 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 31840811808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45086696928).

31840811808 is an abundant number, since it is smaller than the sum of its proper divisors (58332582048).

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

31840811808 is a wasteful number, since it uses less digits than its factorization.

31840811808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45906 (or 45898 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 42.

The spelling of 31840811808 in words is "thirty-one billion, eight hundred forty million, eight hundred eleven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 563 624 1126 1248 1689 2252 3378 4504 6756 7319 9008 13512 14638 18016 21957 27024 29276 43914 45317 54048 58552 87828 90634 117104 135951 175656 181268 234208 271902 351312 362536 543804 589121 702624 725072 1087608 1178242 1450144 1767363 2175216 2356484 3534726 4350432 4712968 7069452 9425936 14138904 18851872 25513471 28277808 51026942 56555616 76540413 102053884 153080826 204107768 306161652 331675123 408215536 612323304 663350246 816431072 995025369 1224646608 1326700492 1990050738 2449293216 2653400984 3980101476 5306801968 7960202952 10613603936 15920405904 31840811808