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12195564472 = 23713411313119
BaseRepresentation
bin10110101101110100…
…11000101110111000
31011110221002212101001
423112322120232320
5144434031030342
65334053134344
7611134405360
oct132672305670
934427085331
1012195564472
115199095103
12244432a3b4
1311c4827c50
148399a79a0
154b5a008b7
hex2d6e98bb8

12195564472 has 128 divisors (see below), whose sum is σ = 29059430400. Its totient is φ = 4669516800.

The previous prime is 12195564449. The next prime is 12195564481. The reversal of 12195564472 is 27446559121.

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 31 ways as a sum of consecutive naturals, for example, 3908529 + ... + 3911647.

It is an arithmetic number, because the mean of its divisors is an integer number (227026800).

Almost surely, 212195564472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12195564472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14529715200).

12195564472 is an abundant number, since it is smaller than the sum of its proper divisors (16863865928).

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

12195564472 is a wasteful number, since it uses less digits than its factorization.

12195564472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317 (or 3313 counting only the distinct ones).

The product of its digits is 604800, while the sum is 46.

The spelling of 12195564472 in words is "twelve billion, one hundred ninety-five million, five hundred sixty-four thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 41 52 56 82 91 104 131 164 182 262 287 328 364 524 533 574 728 917 1048 1066 1148 1703 1834 2132 2296 3119 3406 3668 3731 4264 5371 6238 6812 7336 7462 10742 11921 12476 13624 14924 21484 21833 23842 24952 29848 37597 40547 42968 43666 47684 69823 75194 81094 87332 95368 127879 139646 150388 162188 174664 255758 279292 283829 300776 324376 408589 488761 511516 558584 567658 817178 895153 977522 1023032 1135316 1634356 1662427 1790306 1955044 2270632 2860123 3268712 3324854 3580612 3910088 5311657 5720246 6649708 7161224 10623314 11440492 11636989 13299416 16752149 21246628 22880984 23273978 33504298 37181599 42493256 46547956 67008596 74363198 93095912 117265043 134017192 148726396 217777937 234530086 297452792 435555874 469060172 871111748 938120344 1524445559 1742223496 3048891118 6097782236 12195564472