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10986957990 = 2335269151273
BaseRepresentation
bin10100011101101111…
…11010110010100110
31001100200220021222000
422032313322302212
5140000130123430
65014120350130
7536160413331
oct121667726246
931320807860
1010986957990
114728940178
122167615346
13106130c298
14763277618
15444864e60
hex28edfaca6

10986957990 has 64 divisors (see below), whose sum is σ = 29407665600. Its totient is φ = 2918944512.

The previous prime is 10986957967. The next prime is 10986957997. The reversal of 10986957990 is 9975968901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10986957997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3007 + ... + 148266.

It is an arithmetic number, because the mean of its divisors is an integer number (459494775).

Almost surely, 210986957990 is an apocalyptic number.

10986957990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10986957990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14703832800).

10986957990 is an abundant number, since it is smaller than the sum of its proper divisors (18420707610).

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

10986957990 is a wasteful number, since it uses less digits than its factorization.

10986957990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151558 (or 151552 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 63.

The spelling of 10986957990 in words is "ten billion, nine hundred eighty-six million, nine hundred fifty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 269 270 538 807 1345 1614 2421 2690 4035 4842 7263 8070 12105 14526 24210 36315 72630 151273 302546 453819 756365 907638 1361457 1512730 2269095 2722914 4084371 4538190 6807285 8168742 13614570 20421855 40692437 40843710 81384874 122077311 203462185 244154622 366231933 406924370 610386555 732463866 1098695799 1220773110 1831159665 2197391598 3662319330 5493478995 10986957990