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83085404286840 = 23357437871184077
BaseRepresentation
bin10010111001000011010100…
…000000100010111101111000
3101220011212221200100120220220
4102321003110000202331320
541342232401444134330
6452412524030220040
723333502525621354
oct2271032400427570
9356155850316826
1083085404286840
112452335a76265a
12939a611954620
133748bc6338397
1416734d8286464
15991396d11710
hex4b90d4022f78

83085404286840 has 128 divisors (see below), whose sum is σ = 249909039797760. Its totient is φ = 22098154627584.

The previous prime is 83085404286809. The next prime is 83085404286847. The reversal of 83085404286840 is 4868240458038.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83085404286847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69576882 + ... + 70760958.

It is an arithmetic number, because the mean of its divisors is an integer number (1952414373420).

Almost surely, 283085404286840 is an apocalyptic number.

It is an amenable number.

83085404286840 is an abundant number, since it is smaller than the sum of its proper divisors (166823635510920).

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

83085404286840 is a wasteful number, since it uses less digits than its factorization.

83085404286840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185621 (or 1185617 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 60.

The spelling of 83085404286840 in words is "eighty-three trillion, eighty-five billion, four hundred four million, two hundred eighty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 743 787 1486 1574 2229 2361 2972 3148 3715 3935 4458 4722 5944 6296 7430 7870 8916 9444 11145 11805 14860 15740 17832 18888 22290 23610 29720 31480 44580 47220 89160 94440 584741 1169482 1184077 1754223 2338964 2368154 2923705 3508446 3552231 4677928 4736308 5847410 5920385 7016892 7104462 8771115 9472616 11694820 11840770 14033784 14208924 17542230 17761155 23389640 23681540 28417848 35084460 35522310 47363080 70168920 71044620 142089240 879769211 931868599 1759538422 1863737198 2639307633 2795605797 3519076844 3727474396 4398846055 4659342995 5278615266 5591211594 7038153688 7454948792 8797692110 9318685990 10557230532 11182423188 13196538165 13978028985 17595384220 18637371980 21114461064 22364846376 26393076330 27956057970 35190768440 37274743960 52786152660 55912115940 105572305320 111824231880 692378369057 1384756738114 2077135107171 2769513476228 3461891845285 4154270214342 5539026952456 6923783690570 8308540428684 10385675535855 13847567381140 16617080857368 20771351071710 27695134762280 41542702143420 83085404286840