Search a number
-
+
3906316263900 = 2235259921737987
BaseRepresentation
bin111000110110000010100…
…101111110000111011100
3111211102212220012210212110
4320312002211332013130
51003000113430421100
612150311550234020
7552136105251141
oct70660245760734
914742786183773
103906316263900
11127672876a086
125310a14b5910
13224496a5856b
14d70d10d63c8
156b92b52b250
hex38d8297e1dc

3906316263900 has 72 divisors (see below), whose sum is σ = 11321144150400. Its totient is φ = 1039945250240.

The previous prime is 3906316263869. The next prime is 3906316263907. The reversal of 3906316263900 is 93626136093.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3906316263900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3906316263907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10689294 + ... + 11048693.

It is an arithmetic number, because the mean of its divisors is an integer number (157238113200).

Almost surely, 23906316263900 is an apocalyptic number.

3906316263900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3906316263900 is an abundant number, since it is smaller than the sum of its proper divisors (7414827886500).

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

3906316263900 is a wasteful number, since it uses less digits than its factorization.

3906316263900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21738603 (or 21738596 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 48.

The spelling of 3906316263900 in words is "three trillion, nine hundred six billion, three hundred sixteen million, two hundred sixty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 599 1198 1797 2396 2995 3594 5990 7188 8985 11980 14975 17970 29950 35940 44925 59900 89850 179700 21737987 43475974 65213961 86951948 108689935 130427922 217379870 260855844 326069805 434759740 543449675 652139610 1086899350 1304279220 1630349025 2173798700 3260698050 6521396100 13021054213 26042108426 39063162639 52084216852 65105271065 78126325278 130210542130 156252650556 195315813195 260421084260 325526355325 390631626390 651052710650 781263252780 976579065975 1302105421300 1953158131950 3906316263900