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84369335296 = 2102923132
BaseRepresentation
bin100111010010011001…
…1011110010000000000
322001202211210022020011
41032210303132100000
52340242022212141
6102431515354304
76044515342321
oct1164463362000
9261684708204
1084369335296
1132865321394
1214427152994
137c5741c40c
144125190448
1522dbd9b881
hex13a4cde400

84369335296 has 99 divisors (see below), whose sum is σ = 175232397171. Its totient is φ = 40599896064.

The previous prime is 84369335261. The next prime is 84369335321. The reversal of 84369335296 is 69253396348.

The square root of 84369335296 is 290464.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 33445094400 + 50924240896 = 182880^2 + 225664^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 84369335296.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 269550436 + ... + 269550748.

Almost surely, 284369335296 is an apocalyptic number.

84369335296 is the 290464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84369335296

84369335296 is an abundant number, since it is smaller than the sum of its proper divisors (90863061875).

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

84369335296 is an frugal number, since it uses more digits than its factorization.

84369335296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 344 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 58.

The spelling of 84369335296 in words is "eighty-four billion, three hundred sixty-nine million, three hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 313 464 512 626 841 928 1024 1252 1682 1856 2504 3364 3712 5008 6728 7424 9077 10016 13456 14848 18154 20032 26912 29696 36308 40064 53824 72616 80128 97969 107648 145232 160256 195938 215296 263233 290464 320512 391876 430592 526466 580928 783752 861184 1052932 1161856 1567504 2105864 2323712 2841101 3135008 4211728 4647424 5682202 6270016 8423456 9294848 11364404 12540032 16846912 22728808 25080064 33693824 45457616 50160128 67387648 82391929 90915232 100320256 134775296 164783858 181830464 269550592 329567716 363660928 659135432 727321856 1318270864 1454643712 2636541728 2909287424 5273083456 10546166912 21092333824 42184667648 84369335296