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10490406696 = 23327112312179
BaseRepresentation
bin10011100010100011…
…01110011100101000
31000002002112212122100
421301101232130220
5132441021003241
64452541453400
7520650662040
oct116121563450
930062485570
1010490406696
1144a3619900
122049271260
13cb2493b53
1471733c720
15415e7d9b6
hex27146e728

10490406696 has 432 divisors, whose sum is σ = 37084975200. Its totient is φ = 2622153600.

The previous prime is 10490406679. The next prime is 10490406709. The reversal of 10490406696 is 69660409401.

10490406696 is a `hidden beast` number, since 10 + 490 + 4 + 0 + 66 + 96 = 666.

It is a super-2 number, since 2×104904066962 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 58605535 + ... + 58605713.

It is an arithmetic number, because the mean of its divisors is an integer number (85844850).

Almost surely, 210490406696 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 10490406696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18542487600).

10490406696 is an abundant number, since it is smaller than the sum of its proper divisors (26594568504).

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

10490406696 is a wasteful number, since it uses less digits than its factorization.

10490406696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 10490406696 in words is "ten billion, four hundred ninety million, four hundred six thousand, six hundred ninety-six".