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83214550777158 = 23310999714180249
BaseRepresentation
bin10010111010111011100101…
…101111010011110101000110
3101220122020022010021001101000
4102322323211233103311012
541401341344444332113
6452552123055514130
723346024066646323
oct2272734557236506
9356566263231330
1083214550777158
1124573102573289
1293bb654828946
1337581384432a8
14167986a257b4a
15994904c7d373
hex4baee5bd3d46

83214550777158 has 64 divisors (see below), whose sum is σ = 186804941400000. Its totient is φ = 27456136503552.

The previous prime is 83214550777157. The next prime is 83214550777177. The reversal of 83214550777158 is 85177705541238.

83214550777158 is a `hidden beast` number, since 8 + 3 + 2 + 1 + 4 + 5 + 507 + 7 + 71 + 58 = 666.

It is a super-2 number, since 2×832145507771582 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83214550777095 and 83214550777104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83214550777151) 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, 1221783 + ... + 12958466.

It is an arithmetic number, because the mean of its divisors is an integer number (2918827209375).

Almost surely, 283214550777158 is an apocalyptic number.

83214550777158 is an abundant number, since it is smaller than the sum of its proper divisors (103590390622842).

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

83214550777158 is a wasteful number, since it uses less digits than its factorization.

83214550777158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14181366 (or 14181360 counting only the distinct ones).

The product of its (nonzero) digits is 65856000, while the sum is 63.

The spelling of 83214550777158 in words is "eighty-three trillion, two hundred fourteen billion, five hundred fifty million, seven hundred seventy-seven thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 109 218 327 654 981 997 1962 1994 2943 2991 5886 5982 8973 17946 26919 53838 108673 217346 326019 652038 978057 1956114 2934171 5868342 14180249 28360498 42540747 85081494 127622241 255244482 382866723 765733446 1545647141 3091294282 4636941423 9273882846 13910824269 14137708253 27821648538 28275416506 41732472807 42413124759 83464945614 84826249518 127239374277 254478748554 381718122831 763436245662 1541010199577 3082020399154 4623030598731 9246061197462 13869091796193 27738183592386 41607275388579 83214550777158