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83052016046132 = 22717174479025307
BaseRepresentation
bin10010111000100100001101…
…111010100001000000110100
3101220001200202210111020002012
4102320210031322201000310
541341211012101434012
6452345323000303352
723331211244352620
oct2270441572410064
9356050683436065
1083052016046132
11245101869951a1
129394054171b58
133745a05006a33
141671a4bc52180
15990590a04622
hex4b890dea1034

83052016046132 has 24 divisors (see below), whose sum is σ = 175874857510464. Its totient is φ = 33499972858752.

The previous prime is 83052016046123. The next prime is 83052016046137. The reversal of 83052016046132 is 23164061025038.

It is a super-2 number, since 2×830520160461322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83052016046132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83052016046137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87239512178 + ... + 87239513129.

It is an arithmetic number, because the mean of its divisors is an integer number (7328119062936).

Almost surely, 283052016046132 is an apocalyptic number.

It is an amenable number.

83052016046132 is an abundant number, since it is smaller than the sum of its proper divisors (92822841464332).

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

83052016046132 is a wasteful number, since it uses less digits than its factorization.

83052016046132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174479025335 (or 174479025333 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 83052016046132 in words is "eighty-three trillion, fifty-two billion, sixteen million, forty-six thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 174479025307 348958050614 697916101228 1221353177149 2442706354298 2966143430219 4885412708596 5932286860438 11864573720876 20763004011533 41526008023066 83052016046132