Search a number
-
+
455006110416 = 243111366288769
BaseRepresentation
bin1101001111100000111…
…10100100001011010000
31121111110011021022002120
412213300132210023100
524423323031013131
6545005452014240
744605322060604
oct6476036441320
91544404238076
10455006110416
11165a700a6290
1274224761380
1333ba3598c80
1418045705504
15bc80a00496
hex69f07a42d0

455006110416 has 80 divisors (see below), whose sum is σ = 1380927656640. Its totient is φ = 127274434560.

The previous prime is 455006110249. The next prime is 455006110483. The reversal of 455006110416 is 614011600554.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 33137521 + ... + 33151248.

It is an arithmetic number, because the mean of its divisors is an integer number (17261595708).

Almost surely, 2455006110416 is an apocalyptic number.

It is an amenable number.

455006110416 is an abundant number, since it is smaller than the sum of its proper divisors (925921546224).

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

455006110416 is a wasteful number, since it uses less digits than its factorization.

455006110416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66288804 (or 66288798 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 455006110416 in words is "four hundred fifty-five billion, six million, one hundred ten thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 66288769 132577538 198866307 265155076 397732614 530310152 729176459 795465228 861753997 1060620304 1458352918 1590930456 1723507994 2187529377 2585261991 2916705836 3181860912 3447015988 4375058754 5170523982 5833411672 6894031976 8750117508 9479293967 10341047964 11666823344 13788063952 17500235016 18958587934 20682095928 28437881901 35000470032 37917175868 41364191856 56875763802 75834351736 113751527604 151668703472 227503055208 455006110416