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12318804624 = 2437212914057
BaseRepresentation
bin10110111100100001…
…00000101010010000
31011210112000010002010
423132100200222100
5200212103221444
65354214422520
7614162053200
oct133620405220
934715003063
1012318804624
11525170a275
122479661a40
131214217909
1484c0c8400
154c17462b9
hex2de420a90

12318804624 has 120 divisors (see below), whose sum is σ = 37057071648. Its totient is φ = 3516065280.

The previous prime is 12318804607. The next prime is 12318804629. The reversal of 12318804624 is 42640881321.

It is not an unprimeable number, because it can be changed into a prime (12318804629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3034404 + ... + 3038460.

Almost surely, 212318804624 is an apocalyptic number.

12318804624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12318804624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18528535824).

12318804624 is an abundant number, since it is smaller than the sum of its proper divisors (24738267024).

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

12318804624 is a wasteful number, since it uses less digits than its factorization.

12318804624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5373 (or 5360 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 12318804624 in words is "twelve billion, three hundred eighteen million, eight hundred four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 1291 2352 2582 3873 4057 5164 7746 8114 9037 10328 12171 15492 16228 18074 20656 24342 27111 28399 30984 32456 36148 48684 54222 56798 61968 63259 64912 72296 85197 97368 108444 113596 126518 144592 170394 189777 194736 198793 216888 227192 253036 340788 379554 397586 433776 454384 506072 596379 681576 759108 795172 1012144 1192758 1363152 1518216 1590344 2385516 3036432 3180688 4771032 5237587 9542064 10475174 15712761 20950348 31425522 36663109 41900696 62851044 73326218 83801392 109989327 125702088 146652436 219978654 251404176 256641763 293304872 439957308 513283526 586609744 769925289 879914616 1026567052 1539850578 1759829232 2053134104 3079701156 4106268208 6159402312 12318804624