Search a number
-
+
481314449682 = 232112430881059
BaseRepresentation
bin1110000000100001001…
…00111010100100010010
31201000100122001101222100
413000100210322210102
530341212444342212
61005040211021230
746526264214303
oct7002044724422
91630318041870
10481314449682
11176140505a30
127934729a816
1336506b9a121
141941d7407aa
15c7c04adbdc
hex701093a912

481314449682 has 24 divisors (see below), whose sum is σ = 1137652336080. Its totient is φ = 145852863480.

The previous prime is 481314449657. The next prime is 481314449689. The reversal of 481314449682 is 286944413184.

481314449682 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 144 + 496 + 8 + 2 = 666.

It is a super-2 number, since 2×4813144496822 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (481314449689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1215440332 + ... + 1215440727.

It is an arithmetic number, because the mean of its divisors is an integer number (47402180670).

Almost surely, 2481314449682 is an apocalyptic number.

481314449682 is an abundant number, since it is smaller than the sum of its proper divisors (656337886398).

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

481314449682 is a wasteful number, since it uses less digits than its factorization.

481314449682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430881078 (or 2430881075 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 481314449682 in words is "four hundred eighty-one billion, three hundred fourteen million, four hundred forty-nine thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 2430881059 4861762118 7292643177 14585286354 21877929531 26739691649 43755859062 53479383298 80219074947 160438149894 240657224841 481314449682