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84052472736 = 2535375121997
BaseRepresentation
bin100111001000111101…
…0101111001110100000
322000221202120000111210
41032101322233032200
52334114413111421
6102340240110120
76033620141631
oct1162172571640
9260852500453
1084052472736
113271247a901
1214359005340
137c0689928b
1440d506b888
1522be15b576
hex1391eaf3a0

84052472736 has 96 divisors (see below), whose sum is σ = 225110285568. Its totient is φ = 27451008000.

The previous prime is 84052472723. The next prime is 84052472743. The reversal of 84052472736 is 63727425048.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3810090 + ... + 3832086.

It is an arithmetic number, because the mean of its divisors is an integer number (2344898808).

Almost surely, 284052472736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84052472736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112555142784).

84052472736 is an abundant number, since it is smaller than the sum of its proper divisors (141057812832).

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

84052472736 is a wasteful number, since it uses less digits than its factorization.

84052472736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22814 (or 22806 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 84052472736 in words is "eighty-four billion, fifty-two million, four hundred seventy-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 751 848 1272 1502 1696 2253 2544 3004 4506 5088 6008 9012 12016 18024 21997 24032 36048 39803 43994 65991 72096 79606 87988 119409 131982 159212 175976 238818 263964 318424 351952 477636 527928 636848 703904 955272 1055856 1165841 1273696 1910544 2111712 2331682 3497523 3821088 4663364 6995046 9326728 13990092 16519747 18653456 27980184 33039494 37306912 49559241 55960368 66078988 99118482 111920736 132157976 198236964 264315952 396473928 528631904 792947856 875546591 1585895712 1751093182 2626639773 3502186364 5253279546 7004372728 10506559092 14008745456 21013118184 28017490912 42026236368 84052472736