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42834674361920 = 2657108717592109
BaseRepresentation
bin10011011110101001110011…
…00011001010011001000000
312121122221210002211200201212
421233110321203022121000
521103300403114040140
6231033551105345252
712010463106420020
oct1157247143123100
9177587702750655
1042834674361920
11127150a0a85a01
124979791938228
131ab93a56c58cc
14a812d0471a80
154e4365196765
hex26f5398ca640

42834674361920 has 112 divisors (see below), whose sum is σ = 116678754785280. Its totient is φ = 14672662493184.

The previous prime is 42834674361877. The next prime is 42834674361943. The reversal of 42834674361920 is 2916347643824.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 42834674361920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6361175 + ... + 11230934.

Almost surely, 242834674361920 is an apocalyptic number.

42834674361920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42834674361920 is an abundant number, since it is smaller than the sum of its proper divisors (73844080423360).

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

42834674361920 is a wasteful number, since it uses less digits than its factorization.

42834674361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17593220 (or 17593210 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 59.

The spelling of 42834674361920 in words is "forty-two trillion, eight hundred thirty-four billion, six hundred seventy-four million, three hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1087 1120 2174 2240 4348 5435 7609 8696 10870 15218 17392 21740 30436 34784 38045 43480 60872 69568 76090 86960 121744 152180 173920 243488 304360 347840 486976 608720 1217440 2434880 17592109 35184218 70368436 87960545 123144763 140736872 175921090 246289526 281473744 351842180 492579052 562947488 615723815 703684360 985158104 1125894976 1231447630 1407368720 1970316208 2462895260 2814737440 3940632416 4925790520 5629474880 7881264832 9851581040 19122622483 19703162080 38245244966 39406324160 76490489932 95613112415 133858357381 152980979864 191226224830 267716714762 305961959728 382452449660 535433429524 611923919456 669291786905 764904899320 1070866859048 1223847838912 1338583573810 1529809798640 2141733718096 2677167147620 3059619597280 4283467436192 5354334295240 6119239194560 8566934872384 10708668590480 21417337180960 42834674361920