Search a number
-
+
454552717640 = 23576724229889
BaseRepresentation
bin1101001110101010111…
…01000000100101001000
31121110021120010120010112
412213111131000211020
524421410443431030
6544452454133452
744561145231020
oct6472535004510
91543246116115
10454552717640
1116585818260a
1274118951288
1333b30681c18
1418001402a80
15bc55ce1a95
hex69d5740948

454552717640 has 64 divisors (see below), whose sum is σ = 1186295414400. Its totient is φ = 153520570368.

The previous prime is 454552717631. The next prime is 454552717649. The reversal of 454552717640 is 46717255454.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (454552717631) and next prime (454552717649).

It is a super-2 number, since 2×4545527176402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (454552717649) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12096185 + ... + 12133704.

It is an arithmetic number, because the mean of its divisors is an integer number (18535865850).

Almost surely, 2454552717640 is an apocalyptic number.

454552717640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454552717640 is an abundant number, since it is smaller than the sum of its proper divisors (731742696760).

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

454552717640 is a wasteful number, since it uses less digits than its factorization.

454552717640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24229974 (or 24229970 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 50.

The spelling of 454552717640 in words is "four hundred fifty-four billion, five hundred fifty-two million, seven hundred seventeen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 134 140 268 280 335 469 536 670 938 1340 1876 2345 2680 3752 4690 9380 18760 24229889 48459778 96919556 121149445 169609223 193839112 242298890 339218446 484597780 678436892 848046115 969195560 1356873784 1623402563 1696092230 3246805126 3392184460 6493610252 6784368920 8117012815 11363817941 12987220504 16234025630 22727635882 32468051260 45455271764 56819089705 64936102520 90910543528 113638179410 227276358820 454552717640