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11682396990 = 23351110338189
BaseRepresentation
bin10101110000101001…
…10011101100111110
31010011011111020221000
422320110303230332
5142411143200430
65211122151130
7562333510305
oct127024635476
933134436830
1011682396990
114a55454850
1223204b24a6
131142412654
147cb78543c
15485935e60
hex2b8533b3e

11682396990 has 128 divisors (see below), whose sum is σ = 34316006400. Its totient is φ = 2804526720.

The previous prime is 11682396967. The next prime is 11682397009. The reversal of 11682396990 is 9969328611.

11682396990 is a `hidden beast` number, since 1 + 168 + 2 + 396 + 9 + 90 = 666.

It is a super-2 number, since 2×116823969902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286816 + ... + 325004.

It is an arithmetic number, because the mean of its divisors is an integer number (268093800).

Almost surely, 211682396990 is an apocalyptic number.

11682396990 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 11682396990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17158003200).

11682396990 is an abundant number, since it is smaller than the sum of its proper divisors (22633609410).

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

11682396990 is a wasteful number, since it uses less digits than its factorization.

11682396990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38319 (or 38313 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 11682396990 in words is "eleven billion, six hundred eighty-two million, three hundred ninety-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 103 110 135 165 198 206 270 297 309 330 495 515 594 618 927 990 1030 1133 1485 1545 1854 2266 2781 2970 3090 3399 4635 5562 5665 6798 9270 10197 11330 13905 16995 20394 27810 30591 33990 38189 50985 61182 76378 101970 114567 152955 190945 229134 305910 343701 381890 420079 572835 687402 840158 1031103 1145670 1260237 1718505 2062206 2100395 2520474 3437010 3780711 3933467 4200790 5155515 6301185 7561422 7866934 10311030 11342133 11800401 12602370 18903555 19667335 22684266 23600802 35401203 37807110 39334670 43268137 56710665 59002005 70802406 86536274 106203609 113421330 118004010 129804411 177006015 212407218 216340685 259608822 354012030 389413233 432681370 531018045 649022055 778826466 1062036090 1168239699 1298044110 1947066165 2336479398 3894132330 5841198495 11682396990