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12045191730 = 235111317165161
BaseRepresentation
bin10110011011111001…
…10000101000110010
31011002110011010202020
423031330300220302
5144132032113410
65311122132310
7604330304025
oct131574605062
934073133666
1012045191730
115121218910
122401ab1096
13119c6284b0
14823a231bc
154a76eaa70
hex2cdf30a32

12045191730 has 128 divisors (see below), whose sum is σ = 35960391936. Its totient is φ = 2536857600.

The previous prime is 12045191723. The next prime is 12045191761. The reversal of 12045191730 is 3719154021.

12045191730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 12045191691 and 12045191700.

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 63 ways as a sum of consecutive naturals, for example, 9651 + ... + 155510.

It is an arithmetic number, because the mean of its divisors is an integer number (280940562).

Almost surely, 212045191730 is an apocalyptic number.

12045191730 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 12045191730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17980195968).

12045191730 is an abundant number, since it is smaller than the sum of its proper divisors (23915200206).

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

12045191730 is a wasteful number, since it uses less digits than its factorization.

12045191730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165212.

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 12045191730 in words is "twelve billion, forty-five million, one hundred ninety-one thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 17 22 26 30 33 34 39 51 55 65 66 78 85 102 110 130 143 165 170 187 195 221 255 286 330 374 390 429 442 510 561 663 715 858 935 1105 1122 1326 1430 1870 2145 2210 2431 2805 3315 4290 4862 5610 6630 7293 12155 14586 24310 36465 72930 165161 330322 495483 825805 990966 1651610 1816771 2147093 2477415 2807737 3633542 4294186 4954830 5450313 5615474 6441279 8423211 9083855 10735465 10900626 12882558 14038685 16846422 18167710 21470930 23618023 27251565 28077370 30885107 32206395 36500581 42116055 47236046 54503130 61770214 64412790 70854069 73001162 84232110 92655321 109501743 118090115 141708138 154425535 182502905 185310642 219003486 236180230 308851070 354270345 365005810 401506391 463276605 547508715 708540690 803012782 926553210 1095017430 1204519173 2007531955 2409038346 4015063910 6022595865 12045191730