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10690115780 = 22517212714563
BaseRepresentation
bin10011111010010111…
…00011100011000100
31000121000100011000002
421331023203203010
5133343132201110
64524434140432
7525624325211
oct117513434304
930530304002
1010690115780
114596323233
1220a4121718
1310149788c6
14735a86b08
1542877baa5
hex27d2e38c4

10690115780 has 72 divisors (see below), whose sum is σ = 24036891648. Its totient is φ = 3992550912.

The previous prime is 10690115731. The next prime is 10690115783. The reversal of 10690115780 is 8751109601.

10690115780 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 2×106901157802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10690115783) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 726779 + ... + 741341.

Almost surely, 210690115780 is an apocalyptic number.

10690115780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10690115780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12018445824).

10690115780 is an abundant number, since it is smaller than the sum of its proper divisors (13346775868).

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

10690115780 is a wasteful number, since it uses less digits than its factorization.

10690115780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14733 (or 14714 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 38.

The spelling of 10690115780 in words is "ten billion, six hundred ninety million, one hundred fifteen thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 127 170 254 289 340 508 578 635 1156 1270 1445 2159 2540 2890 4318 5780 8636 10795 14563 21590 29126 36703 43180 58252 72815 73406 145630 146812 183515 247571 291260 367030 495142 734060 990284 1237855 1849501 2475710 3699002 4208707 4951420 7398004 8417414 9247505 16834828 18495010 21043535 31441517 36990020 42087070 62883034 84174140 125766068 157207585 314415170 534505789 628830340 1069011578 2138023156 2672528945 5345057890 10690115780