Search a number
-
+
96084936960 = 283525022119
BaseRepresentation
bin101100101111100011…
…0111100100100000000
3100012000022202112101220
41121133012330210000
53033240220440320
6112050225355040
76641034326355
oct1313706744400
9305008675356
1096084936960
1137827495311
1216756798a80
1390a36895ac
1449170da62c
152775690e40
hex165f1bc900

96084936960 has 72 divisors (see below), whose sum is σ = 306871279680. Its totient is φ = 25622648832.

The previous prime is 96084936911. The next prime is 96084937037. The reversal of 96084936960 is 6963948069.

It is a happy number.

It is a super-2 number, since 2×960849369602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 96084936894 and 96084936903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12507220 + ... + 12514899.

Almost surely, 296084936960 is an apocalyptic number.

It is an amenable number.

96084936960 is an abundant number, since it is smaller than the sum of its proper divisors (210786342720).

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

96084936960 is a wasteful number, since it uses less digits than its factorization.

96084936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25022143 (or 25022129 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 60.

The spelling of 96084936960 in words is "ninety-six billion, eighty-four million, nine hundred thirty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 25022119 50044238 75066357 100088476 125110595 150132714 200176952 250221190 300265428 375331785 400353904 500442380 600530856 750663570 800707808 1000884760 1201061712 1501327140 1601415616 2001769520 2402123424 3002654280 3202831232 4003539040 4804246848 6005308560 6405662464 8007078080 9608493696 12010617120 16014156160 19216987392 24021234240 32028312320 48042468480 96084936960