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10705783740 = 22351311362059
BaseRepresentation
bin10011111100001110…
…10100101110111100
31000122002211011101220
421332013110232330
5133411140034430
64530154033340
7526204442331
oct117607245674
930562734356
1010705783740
1145a4154863
1220a9418850
131017ca32a2
14737ba4988
15429d24110
hex27e1d4bbc

10705783740 has 48 divisors (see below), whose sum is σ = 30205042560. Its totient is φ = 2833080640.

The previous prime is 10705783729. The next prime is 10705783741. The reversal of 10705783740 is 4738750701.

It is a happy number.

It is a super-2 number, since 2×107057837402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10705783692 and 10705783701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10705783741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673170 + ... + 688889.

It is an arithmetic number, because the mean of its divisors is an integer number (629271720).

Almost surely, 210705783740 is an apocalyptic number.

10705783740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10705783740 is an abundant number, since it is smaller than the sum of its proper divisors (19499258820).

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

10705783740 is a wasteful number, since it uses less digits than its factorization.

10705783740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362202 (or 1362200 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The spelling of 10705783740 in words is "ten billion, seven hundred five million, seven hundred eighty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 7860 1362059 2724118 4086177 5448236 6810295 8172354 13620590 16344708 20430885 27241180 40861770 81723540 178429729 356859458 535289187 713718916 892148645 1070578374 1784297290 2141156748 2676445935 3568594580 5352891870 10705783740