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406065690981996 = 2231743145931727977
BaseRepresentation
bin101110001010100001000100…
…1010001000011011001101100
31222020202111112011222022110020
41130111002021101003121230
5411210440013342410441
63555344000403442140
7151350164236400463
oct13425021121033154
91866674464868406
10406065690981996
111084265464a3111
1239662302386350
1314576aa43990a6
14723b981a599da
1531e2a79260e66
hex171508944366c

406065690981996 has 96 divisors (see below), whose sum is σ = 1027255474586880. Its totient is φ = 124345237653504.

The previous prime is 406065690981991. The next prime is 406065690981997. The reversal of 406065690981996 is 699189096560604.

It is a super-2 number, since 2×4060656909819962 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (406065690981991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3065641 + ... + 28662336.

It is an arithmetic number, because the mean of its divisors is an integer number (10700577860280).

Almost surely, 2406065690981996 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 406065690981996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513627737293440).

406065690981996 is an abundant number, since it is smaller than the sum of its proper divisors (621189783604884).

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

406065690981996 is a wasteful number, since it uses less digits than its factorization.

406065690981996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31729503 (or 31729501 counting only the distinct ones).

The product of its (nonzero) digits is 1360488960, while the sum is 78.

The spelling of 406065690981996 in words is "four hundred six trillion, sixty-five billion, six hundred ninety million, nine hundred eighty-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 258 516 731 1459 1462 2193 2918 2924 4377 4386 5836 8754 8772 17508 24803 49606 62737 74409 99212 125474 148818 188211 250948 297636 376422 752844 1066529 2133058 3199587 4266116 6399174 12798348 31727977 63455954 95183931 126911908 190367862 380735724 539375609 1078751218 1364303011 1618126827 2157502436 2728606022 3236253654 4092909033 5457212044 6472507308 8185818066 16371636132 23193151187 46291118443 46386302374 69579453561 92582236886 92772604748 138873355329 139158907122 185164473772 277746710658 278317814244 555493421316 786949013531 1573898027062 1990518093049 2360847040593 3147796054124 3981036186098 4721694081186 5971554279147 7962072372196 9443388162372 11943108558294 23886217116588 33838807581833 67677615163666 101516422745499 135355230327332 203032845490998 406065690981996