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40106586996 = 22337232306567
BaseRepresentation
bin100101010110100010…
…011111001101110100
310211112002121201101000
4211112202133031310
51124114241240441
630231423203300
72616610236030
oct452642371564
9124462551330
1040106586996
1116011139473
127933746530
133a221912a8
141d267d51c0
15109b03d2b6
hex95689f374

40106586996 has 96 divisors (see below), whose sum is σ = 124001095680. Its totient is φ = 10960801632.

The previous prime is 40106586967. The next prime is 40106587009. The reversal of 40106586996 is 69968560104.

It is a happy number.

40106586996 is a `hidden beast` number, since 40 + 10 + 6 + 586 + 9 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1135896 + ... + 1170671.

It is an arithmetic number, because the mean of its divisors is an integer number (1291678080).

Almost surely, 240106586996 is an apocalyptic number.

40106586996 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

40106586996 is an abundant number, since it is smaller than the sum of its proper divisors (83894508684).

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

40106586996 is a wasteful number, since it uses less digits than its factorization.

40106586996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306610 (or 2306602 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 40106586996 in words is "forty billion, one hundred six million, five hundred eighty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 84 92 108 126 138 161 189 207 252 276 322 378 414 483 621 644 756 828 966 1242 1449 1932 2484 2898 4347 5796 8694 17388 2306567 4613134 6919701 9226268 13839402 16145969 20759103 27678804 32291938 41518206 48437907 53051041 62277309 64583876 83036412 96875814 106102082 124554618 145313721 159153123 193751628 212204164 249109236 290627442 318306246 371357287 435941163 477459369 581254884 636612492 742714574 871882326 954918738 1114071861 1432378107 1485429148 1743764652 1909837476 2228143722 2864756214 3342215583 4456287444 5729512428 6684431166 10026646749 13368862332 20053293498 40106586996