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10937044340 = 2252922138521
BaseRepresentation
bin10100010111110011…
…00000110101110100
31001020012222102022022
422023321200311310
5134344340404330
65005134452312
7535013225435
oct121371406564
931205872268
1010937044340
114702749322
122152964098
131053b84291
1475a7a348c
154402a5ae5
hex28be60d74

10937044340 has 48 divisors (see below), whose sum is σ = 23773312080. Its totient is φ = 4221557760.

The previous prime is 10937044319. The next prime is 10937044357. The reversal of 10937044340 is 4344073901.

10937044340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 855679504 + 10081364836 = 29252^2 + 100406^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10937044340.

It is a congruent number.

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, 1279280 + ... + 1287800.

It is an arithmetic number, because the mean of its divisors is an integer number (495277335).

Almost surely, 210937044340 is an apocalyptic number.

10937044340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10937044340 is an abundant number, since it is smaller than the sum of its proper divisors (12836267740).

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

10937044340 is a wasteful number, since it uses less digits than its factorization.

10937044340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10772 (or 10770 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 10937044340 in words is "ten billion, nine hundred thirty-seven million, forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 2213 4426 8521 8852 11065 17042 22130 34084 42605 44260 64177 85210 128354 170420 247109 256708 320885 494218 641770 988436 1235545 1283540 2471090 4942180 18856973 37713946 75427892 94284865 188569730 377139460 546852217 1093704434 2187408868 2734261085 5468522170 10937044340