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83437510412214 = 23275279125440891
BaseRepresentation
bin10010111110001011001111…
…001010110100011110110110
3101221102112210120011001011100
4102332023033022310132312
541414020010131142324
6453242355122350530
723401106201405010
oct2276131712643666
9357375716131140
1083437510412214
1124649716464092
1294368b94bb446
13377317b35a92a
14168657b71b1b0
1599a603bdc4c9
hex4be2cf2b47b6

83437510412214 has 48 divisors (see below), whose sum is σ = 206646307845120. Its totient is φ = 23834772627120.

The previous prime is 83437510412173. The next prime is 83437510412251. The reversal of 83437510412214 is 41221401573438.

83437510412214 is a `hidden beast` number, since 8 + 3 + 4 + 3 + 7 + 5 + 10 + 412 + 214 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 83437510412214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62055292 + ... + 63385599.

It is an arithmetic number, because the mean of its divisors is an integer number (4305131413440).

Almost surely, 283437510412214 is an apocalyptic number.

83437510412214 is an abundant number, since it is smaller than the sum of its proper divisors (123208797432906).

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

83437510412214 is a wasteful number, since it uses less digits than its factorization.

83437510412214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125446185 (or 125446182 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 83437510412214 in words is "eighty-three trillion, four hundred thirty-seven billion, five hundred ten million, four hundred twelve thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 5279 10558 15837 31674 36953 47511 73906 95022 110859 221718 332577 665154 125440891 250881782 376322673 752645346 878086237 1128968019 1756172474 2257936038 2634258711 5268517422 7902776133 15805552266 662202463589 1324404927178 1986607390767 3973214781534 4635417245123 5959822172301 9270834490246 11919644344602 13906251735369 27812503470738 41718755206107 83437510412214