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130826648880 = 24335311953803
BaseRepresentation
bin111100111010111100…
…0000011110100110000
3110111200112102100201000
41321311320003310300
54120413110231010
6140033445042000
712311002111254
oct1716570036460
9414615370630
10130826648880
1150535261724
12214316b6300
13c44c228295
1464911b0264
15360a7017c0
hex1e75e03d30

130826648880 has 160 divisors (see below), whose sum is σ = 465161656320. Its totient is φ = 33761698560.

The previous prime is 130826648873. The next prime is 130826648899. The reversal of 130826648880 is 88846628031.

130826648880 is a `hidden beast` number, since 1 + 3 + 0 + 82 + 6 + 6 + 488 + 80 = 666.

It is a super-2 number, since 2×1308266488802 (a number of 23 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 909942 + ... + 1043861.

It is an arithmetic number, because the mean of its divisors is an integer number (2907260352).

Almost surely, 2130826648880 is an apocalyptic number.

130826648880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130826648880 is an abundant number, since it is smaller than the sum of its proper divisors (334335007440).

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

130826648880 is a wasteful number, since it uses less digits than its factorization.

130826648880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953856 (or 1953844 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 130826648880 in words is "one hundred thirty billion, eight hundred twenty-six million, six hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 620 720 744 837 930 1080 1116 1240 1395 1488 1674 1860 2160 2232 2480 2790 3348 3720 4185 4464 5580 6696 7440 8370 11160 13392 16740 22320 33480 66960 1953803 3907606 5861409 7815212 9769015 11722818 15630424 17584227 19538030 23445636 29307045 31260848 35168454 39076060 46891272 52752681 58614090 60567893 70336908 78152120 87921135 93782544 105505362 117228180 121135786 140673816 156304240 175842270 181703679 211010724 234456360 242271572 263763405 281347632 302839465 351684540 363407358 422021448 468912720 484543144 527526810 545111037 605678930 703369080 726814716 844042896 908518395 969086288 1055053620 1090222074 1211357860 1406738160 1453629432 1635333111 1817036790 2110107240 2180444148 2422715720 2725555185 2907258864 3270666222 3634073580 4220214480 4360888296 4845431440 5451110370 6541332444 7268147160 8176665555 8721776592 10902220740 13082664888 14536294320 16353331110 21804441480 26165329776 32706662220 43608882960 65413324440 130826648880