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10509674994 = 2347132293161
BaseRepresentation
bin10011100100110110…
…01110100111110010
31000010102210210210000
421302123032213302
5133010434044434
64454510450430
7521303522610
oct116233164762
930112723700
1010509674994
11450348a415
122053803a16
13cb647c200
14719b166b0
154179d7b99
hex2726ce9f2

10509674994 has 480 divisors, whose sum is σ = 31630832640. Its totient is φ = 2547417600.

The previous prime is 10509674977. The next prime is 10509674999. The reversal of 10509674994 is 49947690501.

It is a happy number.

10509674994 is a `hidden beast` number, since 1 + 0 + 509 + 6 + 7 + 49 + 94 = 666.

It is a super-2 number, since 2×105096749942 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10509674994.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10509674999) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 172289724 + ... + 172289784.

It is an arithmetic number, because the mean of its divisors is an integer number (65897568).

Almost surely, 210509674994 is an apocalyptic number.

10509674994 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10509674994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15815416320).

10509674994 is an abundant number, since it is smaller than the sum of its proper divisors (21121157646).

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

10509674994 is a wasteful number, since it uses less digits than its factorization.

10509674994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 10509674994 in words is "ten billion, five hundred nine million, six hundred seventy-four thousand, nine hundred ninety-four".