Search a number
-
+
468692720898008 = 231731271410221403
BaseRepresentation
bin110101010010001100000011…
…1001000110100111111011000
32021110111120211120121201222012
41222210120013020310333120
5442413030143022214013
64340454244042245052
7200502634356364205
oct15244300710647730
92243446746551865
10468692720898008
11126381515175562
1244697957ab6788
131716a6c3092689
1483a4bc4cb4cac
15392bb8eb531a8
hex1aa4607234fd8

468692720898008 has 64 divisors (see below), whose sum is σ = 964053117112320. Its totient is φ = 212658774796800.

The previous prime is 468692720898001. The next prime is 468692720898013. The reversal of 468692720898008 is 800898027296864.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 468692720898008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468692720898001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 203968166 + ... + 206253237.

It is an arithmetic number, because the mean of its divisors is an integer number (15063329954880).

Almost surely, 2468692720898008 is an apocalyptic number.

It is an amenable number.

468692720898008 is an abundant number, since it is smaller than the sum of its proper divisors (495360396214312).

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

468692720898008 is a wasteful number, since it uses less digits than its factorization.

468692720898008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410221728 (or 410221724 counting only the distinct ones).

The product of its (nonzero) digits is 1337720832, while the sum is 77.

The spelling of 468692720898008 in words is "four hundred sixty-eight trillion, six hundred ninety-two billion, seven hundred twenty million, eight hundred ninety-eight thousand, eight".

Divisors: 1 2 4 8 17 31 34 62 68 124 136 248 271 527 542 1054 1084 2108 2168 4216 4607 8401 9214 16802 18428 33604 36856 67208 142817 285634 571268 1142536 410221403 820442806 1640885612 3281771224 6973763851 12716863493 13947527702 25433726986 27895055404 50867453972 55790110808 101734907944 111170000213 216186679381 222340000426 432373358762 444680000852 864746717524 889360001704 1729493435048 1889890003621 3446270006603 3779780007242 6892540013206 7559560014484 13785080026412 15119120028968 27570160052824 58586590112251 117173180224502 234346360449004 468692720898008