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2047007457345 = 351391193822949
BaseRepresentation
bin11101110010011011001…
…001110000000001000001
321020200200110200002210210
4131302123021300001001
5232014232402113340
64204214321544333
7300614516204454
oct35623311600101
97220613602723
102047007457345
1171a149387294
122908827a50a9
1311b055330ca6
147110b99949b
15383a9ca3180
hex1dc9b270041

2047007457345 has 32 divisors (see below), whose sum is σ = 3301543728000. Its totient is φ = 1082973233664.

The previous prime is 2047007457223. The next prime is 2047007457389. The reversal of 2047007457345 is 5437547007402.

It is not a de Polignac number, because 2047007457345 - 29 = 2047007456833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2047007457294 and 2047007457303.

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 31 ways as a sum of consecutive naturals, for example, 2075931 + ... + 2898879.

It is an arithmetic number, because the mean of its divisors is an integer number (103173241500).

Almost surely, 22047007457345 is an apocalyptic number.

It is an amenable number.

2047007457345 is a deficient number, since it is larger than the sum of its proper divisors (1254536270655).

2047007457345 is a wasteful number, since it uses less digits than its factorization.

2047007457345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824289.

The product of its (nonzero) digits is 3292800, while the sum is 48.

The spelling of 2047007457345 in words is "two trillion, forty-seven billion, seven million, four hundred fifty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 15 139 417 695 1193 2085 3579 5965 17895 165827 497481 822949 829135 2468847 2487405 4114745 12344235 114389911 343169733 571949555 981778157 1715848665 2945334471 4908890785 14726672355 136467163823 409401491469 682335819115 2047007457345