Search a number
-
+
406064235132996 = 223115390149643849
BaseRepresentation
bin101110001010100000011001…
…0011111011011100001000100
31222020202100202201112112001220
41130111000302133123201010
5411210424023143223441
63555343200115520340
7151350113201026656
oct13425006237334104
91866670681475056
10406064235132996
11108425969729220
1239661b768b90b0
1314576901894b8b
14723b88456a6d6
1531e29e1538466
hex17150327db844

406064235132996 has 96 divisors (see below), whose sum is σ = 1053133598160000. Its totient is φ = 120726547768320.

The previous prime is 406064235132971. The next prime is 406064235133019. The reversal of 406064235132996 is 699231532460604.

It is a super-3 number, since 3×4060642351329963 (a number of 45 digits) contains 333 as substring.

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, 630360480 + ... + 631004328.

It is an arithmetic number, because the mean of its divisors is an integer number (10970141647500).

Almost surely, 2406064235132996 is an apocalyptic number.

It is an amenable number.

406064235132996 is an abundant number, since it is smaller than the sum of its proper divisors (647069363027004).

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

406064235132996 is a wasteful number, since it uses less digits than its factorization.

406064235132996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734069 (or 734067 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 60.

The spelling of 406064235132996 in words is "four hundred six trillion, sixty-four billion, two hundred thirty-five million, one hundred thirty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1749 2332 3498 6996 90149 180298 270447 360596 540894 643849 991639 1081788 1287698 1931547 1983278 2575396 2974917 3863094 3966556 4777897 5949834 7082339 7726188 9555794 11899668 14164678 14333691 19111588 21247017 28329356 28667382 34123997 42494034 52556867 57334764 68247994 84988068 102371991 105113734 136495988 157670601 204743982 210227468 315341202 375363967 409487964 630682404 750727934 1126091901 1501455868 2252183802 4504367604 58042343501 116084687002 174127030503 232169374004 348254061006 638465778511 696508122012 1276931557022 1915397335533 2553863114044 3076244205553 3830794671066 6152488411106 7661589342132 9228732616659 12304976822212 18457465233318 33838686261083 36914930466636 67677372522166 101516058783249 135354745044332 203032117566498 406064235132996