Search a number
-
+
804040084032 = 26321144474463
BaseRepresentation
bin10111011001101001000…
…01100000101001000000
32211212100221021021101120
423230310201200221000
5101133133230142112
61413212041232240
7112042601643453
oct13546441405100
92755327237346
10804040084032
1128aa9a736719
1210b9b3492680
135aa88c93c43
142acb6b5149a
1515dacd33e8c
hexbb34860a40

804040084032 has 112 divisors (see below), whose sum is σ = 2138397990912. Its totient is φ = 266623418880.

The previous prime is 804040084013. The next prime is 804040084049. The reversal of 804040084032 is 230480040408.

It is a junction number, because it is equal to n+sod(n) for n = 804040083984 and 804040084002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180154633 + ... + 180159095.

Almost surely, 2804040084032 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 804040084032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069198995456).

804040084032 is an abundant number, since it is smaller than the sum of its proper divisors (1334357906880).

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

804040084032 is a wasteful number, since it uses less digits than its factorization.

804040084032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9136 (or 9126 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 804040084032 in words is "eight hundred four billion, forty million, eighty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 211 422 633 844 1266 1688 2532 3376 4447 4463 5064 6752 8894 8926 10128 13341 13389 13504 17788 17852 20256 26682 26778 35576 35704 40512 53364 53556 71152 71408 106728 107112 142304 142816 213456 214224 284608 285632 426912 428448 853824 856896 938317 941693 1876634 1883386 2814951 2825079 3753268 3766772 5629902 5650158 7506536 7533544 11259804 11300316 15013072 15067088 19846961 22519608 22600632 30026144 30134176 39693922 45039216 45201264 59540883 60052288 60268352 79387844 90078432 90402528 119081766 158775688 180156864 180805056 238163532 317551376 476327064 635102752 952654128 1270205504 1905308256 3810616512 4187708771 8375417542 12563126313 16750835084 25126252626 33501670168 50252505252 67003340336 100505010504 134006680672 201010021008 268013361344 402020042016 804040084032