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84758442138 = 232176114233191
BaseRepresentation
bin100111011101111111…
…1110011000010011010
322002202221221222110200
41032323333303002122
52342041130122023
6102534255323030
76060251604516
oct1167377630232
9262687858420
1084758442138
1132a44a27097
1214515520476
137cb9c18756
144160b1b146
15231110c743
hex13bbff309a

84758442138 has 96 divisors (see below), whose sum is σ = 197834337792. Its totient is φ = 26128396800.

The previous prime is 84758442089. The next prime is 84758442151. The reversal of 84758442138 is 83124485748.

84758442138 is a `hidden beast` number, since 8 + 4 + 7 + 584 + 4 + 21 + 38 = 666.

It is a super-2 number, since 2×847584421382 (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 26560123 + ... + 26563313.

It is an arithmetic number, because the mean of its divisors is an integer number (2060774352).

Almost surely, 284758442138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84758442138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98917168896).

84758442138 is an abundant number, since it is smaller than the sum of its proper divisors (113075895654).

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

84758442138 is a wasteful number, since it uses less digits than its factorization.

84758442138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4700 (or 4697 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 84758442138 in words is "eighty-four billion, seven hundred fifty-eight million, four hundred forty-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 549 1037 1098 1423 2074 2846 3111 3191 4269 6222 6382 8538 9333 9573 12807 18666 19146 24191 25614 28719 48382 54247 57438 72573 86803 108494 145146 162741 173606 194651 217719 260409 325482 389302 435438 488223 520818 583953 781227 976446 1167906 1475651 1562454 1751859 2951302 3309067 3503718 4426953 4540793 6618134 8853906 9081586 9927201 13280859 13622379 19854402 26561718 27244758 29781603 40867137 59563206 77193481 81734274 154386962 231580443 276988373 463160886 553976746 694741329 830965119 1389482658 1661930238 2492895357 4708802341 4985790714 9417604682 14126407023 28252814046 42379221069 84758442138