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83300755325058 = 23231380179392669
BaseRepresentation
bin10010111100001011110111…
…111011100100000010000010
3101220221110210212022211000100
4102330023313323210002002
541404244421330400213
6453055501054303230
723355165241345005
oct2274136773440202
9356843725284010
1083300755325058
11245a6719809aa7
1294142b24b7b16
1337632c5b3120b
14167dac704953c
15996c9ccdb773
hex4bc2f7ee4082

83300755325058 has 48 divisors (see below), whose sum is σ = 186308030188800. Its totient is φ = 26871072282720.

The previous prime is 83300755325033. The next prime is 83300755325063. The reversal of 83300755325058 is 85052355700338.

83300755325058 is a `hidden beast` number, since 8 + 3 + 3 + 0 + 0 + 7 + 5 + 532 + 50 + 58 = 666.

83300755325058 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 83300755324995 and 83300755325013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211943548 + ... + 212336216.

It is an arithmetic number, because the mean of its divisors is an integer number (3881417295600).

Almost surely, 283300755325058 is an apocalyptic number.

83300755325058 is an abundant number, since it is smaller than the sum of its proper divisors (103007274863742).

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

83300755325058 is a wasteful number, since it uses less digits than its factorization.

83300755325058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772887 (or 772884 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 83300755325058 in words is "eighty-three trillion, three hundred billion, seven hundred fifty-five million, three hundred twenty-five thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 380179 392669 760358 785338 1140537 1178007 2281074 2356014 3421611 3534021 6843222 7068042 11785549 12172739 23571098 24345478 35356647 36518217 70713294 73036434 106069941 109554651 212139882 219109302 149284507751 298569015502 447853523253 895707046506 1343560569759 2687121139518 4627819740281 9255639480562 13883459220843 27766918441686 41650377662529 83300755325058