Search a number
-
+
11464515790 = 2572133158057
BaseRepresentation
bin10101010110101011…
…01010000011001110
31002120222111202002221
422223111222003032
5141434404001130
65133340205554
7554046530200
oct125325520316
932528452087
1011464515790
114953469442
12227b5398ba
131109237470
147aa86a770
1547174887a
hex2ab56a0ce

11464515790 has 96 divisors (see below), whose sum is σ = 26686243584. Its totient is φ = 3511226880.

The previous prime is 11464515737. The next prime is 11464515841. The reversal of 11464515790 is 9751546411.

11464515790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 168442 + ... + 226498.

It is an arithmetic number, because the mean of its divisors is an integer number (277981704).

Almost surely, 211464515790 is an apocalyptic number.

11464515790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11464515790 is an abundant number, since it is smaller than the sum of its proper divisors (15221727794).

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

11464515790 is a wasteful number, since it uses less digits than its factorization.

11464515790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58122 (or 58115 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 11464515790 in words is "eleven billion, four hundred sixty-four million, five hundred fifteen thousand, seven hundred ninety".

Divisors: 1 2 5 7 10 13 14 26 31 35 49 62 65 70 91 98 130 155 182 217 245 310 403 434 455 490 637 806 910 1085 1274 1519 2015 2170 2821 3038 3185 4030 5642 6370 7595 14105 15190 19747 28210 39494 58057 98735 116114 197470 290285 406399 580570 754741 812798 1509482 1799767 2031995 2844793 3599534 3773705 4063990 5283187 5689586 7547410 8998835 10566374 12598369 14223965 17997670 23396971 25196738 26415935 28447930 36982309 46793942 52831870 62991845 73964618 88188583 116984855 125983690 163778797 176377166 184911545 233969710 327557594 369823090 440942915 818893985 881885830 1146451579 1637787970 2292903158 5732257895 11464515790