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12094226802 = 2347171314789
BaseRepresentation
bin10110100001101111…
…10100000101110010
31011012212102101020000
423100313310011302
5144232110224202
65320033130430
7605464142310
oct132067640562
934185371200
1012094226802
11514696a669
1224163b9a16
1311a9836628
1482a3490b0
154abb8491c
hex2d0df4172

12094226802 has 160 divisors (see below), whose sum is σ = 33050540160. Its totient is φ = 3226728960.

The previous prime is 12094226783. The next prime is 12094226803. The reversal of 12094226802 is 20862249021.

12094226802 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12094226803) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2523024 + ... + 2527812.

It is an arithmetic number, because the mean of its divisors is an integer number (206565876).

Almost surely, 212094226802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12094226802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16525270080).

12094226802 is an abundant number, since it is smaller than the sum of its proper divisors (20956313358).

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

12094226802 is a wasteful number, since it uses less digits than its factorization.

12094226802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12094226802 in words is "twelve billion, ninety-four million, two hundred twenty-six thousand, eight hundred two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 131 153 162 189 238 262 306 357 378 393 459 567 714 786 917 918 1071 1134 1179 1377 1834 2142 2227 2358 2751 2754 3213 3537 4454 4789 5502 6426 6681 7074 8253 9578 9639 10611 13362 14367 15589 16506 19278 20043 21222 24759 28734 31178 33523 40086 43101 46767 49518 60129 67046 74277 81413 86202 93534 100569 120258 129303 140301 148554 162826 180387 201138 244239 258606 280602 301707 360774 387909 420903 488478 569891 603414 627359 732717 775818 841806 905121 1139782 1254718 1262709 1465434 1709673 1810242 1882077 2198151 2525418 2715363 3419346 3764154 4391513 4396302 5129019 5430726 5646231 6594453 8783026 10258038 10665103 11292462 13174539 13188906 15387057 16938693 21330206 26349078 30774114 31995309 33877386 39523617 46161171 50816079 63990618 74655721 79047234 92322342 95985927 101632158 118570851 149311442 191971854 223967163 237141702 287957781 355712553 447934326 575915562 671901489 711425106 863873343 1343802978 1727746686 2015704467 4031408934 6047113401 12094226802