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12094756380 = 223557355519
BaseRepresentation
bin10110100001110011…
…10101011000011100
31011012220102021200000
423100321311120130
5144232224201010
65320052334300
7605501506260
oct132071653034
934186367600
1012094756380
1151471a1533
122416614390
1311a99906a5
1482a4460a0
154abc3b7c0
hex2d0e7561c

12094756380 has 144 divisors (see below), whose sum is σ = 43481518080. Its totient is φ = 2764507968.

The previous prime is 12094756343. The next prime is 12094756391. The reversal of 12094756380 is 8365749021.

12094756380 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 4 + 7 + 5 + 638 + 0 = 666.

12094756380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 143740 + ... + 211779.

It is a 1-persistent number, because it is pandigital, but 2⋅12094756380 = 24189512760 is not.

Almost surely, 212094756380 is an apocalyptic number.

12094756380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12094756380 is an abundant number, since it is smaller than the sum of its proper divisors (31386761700).

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

12094756380 is a wasteful number, since it uses less digits than its factorization.

12094756380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355550 (or 355536 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12094756380 in words is "twelve billion, ninety-four million, seven hundred fifty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3402 3780 4860 5670 6804 8505 11340 17010 34020 355519 711038 1066557 1422076 1777595 2133114 2488633 3199671 3555190 4266228 4977266 5332785 6399342 7110380 7465899 9599013 9954532 10665570 12443165 12798684 14931798 15998355 19198026 21331140 22397697 24886330 28797039 29863596 31996710 37329495 38396052 44795394 47995065 49772660 57594078 63993420 67193091 74658990 86391117 89590788 95990130 111988485 115188156 134386182 143985195 149317980 172782234 191980260 201579273 223976970 268772364 287970390 335965455 345564468 403158546 431955585 447953940 575940780 604737819 671930910 806317092 863911170 1007896365 1209475638 1343861820 1727822340 2015792730 2418951276 3023689095 4031585460 6047378190 12094756380