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12573191680 = 2957701629
BaseRepresentation
bin10111011010110101…
…11010111000000000
31012110020200022111221
423231122322320000
5201222214113210
65435343044424
7623401236340
oct135532727000
935406608457
1012573191680
11537226a005
12252a8a0714
131254b350ba
14873bc6d20
154d8c451da
hex2ed6bae00

12573191680 has 80 divisors (see below), whose sum is σ = 34452839520. Its totient is φ = 4310802432.

The previous prime is 12573191677. The next prime is 12573191693. The reversal of 12573191680 is 8619137521.

12573191680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 7 ways as a sum of consecutive naturals, for example, 332895 + ... + 368734.

It is an arithmetic number, because the mean of its divisors is an integer number (430660494).

Almost surely, 212573191680 is an apocalyptic number.

12573191680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12573191680 is an abundant number, since it is smaller than the sum of its proper divisors (21879647840).

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

12573191680 is an frugal number, since it uses more digits than its factorization.

12573191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701659 (or 701643 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The spelling of 12573191680 in words is "twelve billion, five hundred seventy-three million, one hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 8960 17920 701629 1403258 2806516 3508145 4911403 5613032 7016290 9822806 11226064 14032580 19645612 22452128 24557015 28065160 39291224 44904256 49114030 56130320 78582448 89808512 98228060 112260640 157164896 179617024 196456120 224521280 314329792 359234048 392912240 449042560 628659584 785824480 898085120 1257319168 1571648960 1796170240 2514638336 3143297920 6286595840 12573191680