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10706710704 = 2431720876287
BaseRepresentation
bin10011111100010101…
…10111000010110000
31000122011120020221220
421332022313002300
5133411404220304
64530225545040
7526215353004
oct117612670260
930564506856
1010706710704
1145a4728248
1220a97a5180
1310182391a1
14737d66704
15429e58ad9
hex27e2b70b0

10706710704 has 80 divisors (see below), whose sum is σ = 29304695808. Its totient is φ = 3356824576.

The previous prime is 10706710661. The next prime is 10706710723. The reversal of 10706710704 is 40701760701.

10706710704 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 2×107067107042 (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 15 ways as a sum of consecutive naturals, for example, 1699849 + ... + 1706135.

Almost surely, 210706710704 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 10706710704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14652347904).

10706710704 is an abundant number, since it is smaller than the sum of its proper divisors (18597985104).

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

10706710704 is a wasteful number, since it uses less digits than its factorization.

10706710704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8402 (or 8396 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

The spelling of 10706710704 in words is "ten billion, seven hundred six million, seven hundred ten thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 2087 4174 6261 6287 8348 12522 12574 16696 18861 25044 25148 33392 35479 37722 50088 50296 70958 75444 100176 100592 106437 106879 141916 150888 212874 213758 283832 301776 320637 425748 427516 567664 641274 851496 855032 1282548 1702992 1710064 2565096 5130192 13120969 26241938 39362907 52483876 78725814 104967752 157451628 209935504 223056473 314903256 446112946 629806512 669169419 892225892 1338338838 1784451784 2676677676 3568903568 5353355352 10706710704