Search a number
-
+
10504699002 = 2310797131
BaseRepresentation
bin10011100100010000…
…01111110001111010
31000010002110000000000
421302020033301322
5133003200332002
64454212053430
7521213316420
oct116210176172
930102400000
1010504699002
1145006a0926
122052004276
13cb5429335
147191bd110
1541735361c
hex27220fc7a

10504699002 has 176 divisors, whose sum is σ = 27498727872. Its totient is φ = 2947726080.

The previous prime is 10504698961. The next prime is 10504699019. The reversal of 10504699002 is 20099640501.

10504699002 is a `hidden beast` number, since 1 + 0 + 504 + 69 + 90 + 0 + 2 = 666.

10504699002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105046990022 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 80188477 + ... + 80188607.

It is an arithmetic number, because the mean of its divisors is an integer number (156242772).

Almost surely, 210504699002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10504699002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749363936).

10504699002 is an abundant number, since it is smaller than the sum of its proper divisors (16994028870).

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

10504699002 is an frugal number, since it uses more digits than its factorization.

10504699002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10504699002 in words is "ten billion, five hundred four million, six hundred ninety-nine thousand, two".