Search a number
-
+
10129840749 = 33773212
BaseRepresentation
bin10010110111100100…
…10001101001101101
3222010222002020011000
421123302101221231
5131221214400444
64353101350513
7506012140260
oct113362215155
928128066130
1010129840749
114329038316
121b68568439
13c5587b612
146c14c0cd7
153e44a9469
hex25bc91a6d

10129840749 has 24 divisors (see below), whose sum is σ = 17153396160. Its totient is φ = 5787689760.

The previous prime is 10129840741. The next prime is 10129840759. The reversal of 10129840749 is 94704892101.

It is a happy number.

It is not a de Polignac number, because 10129840749 - 23 = 10129840741 is a prime.

It is a super-2 number, since 2×101298407492 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10129840741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1380009 + ... + 1387329.

It is an arithmetic number, because the mean of its divisors is an integer number (714724840).

Almost surely, 210129840749 is an apocalyptic number.

It is an amenable number.

10129840749 is a deficient number, since it is larger than the sum of its proper divisors (7023555411).

10129840749 is an frugal number, since it uses more digits than its factorization.

10129840749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14658 (or 7331 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10129840749 in words is "ten billion, one hundred twenty-nine million, eight hundred forty thousand, seven hundred forty-nine".

Divisors: 1 3 7 9 21 27 63 189 7321 21963 51247 65889 153741 197667 461223 1383669 53597041 160791123 375179287 482373369 1125537861 1447120107 3376613583 10129840749