Search a number
-
+
455601117320 = 235139263311569
BaseRepresentation
bin1101010000100111111…
…00010101100010001000
31121112222121212210010022
412220103330111202020
524431032341223240
6545144505040012
744626135412606
oct6502374254210
91545877783108
10455601117320
11166245a53828
127436ba86008
1333c69936c6b
14180a074c876
15bcb7d839b5
hex6a13f15888

455601117320 has 64 divisors (see below), whose sum is σ = 1036406448000. Its totient is φ = 180240841728.

The previous prime is 455601117317. The next prime is 455601117421. The reversal of 455601117320 is 23711106554.

It is a happy number.

It is an unprimeable number.

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, 1306496 + ... + 1618064.

It is an arithmetic number, because the mean of its divisors is an integer number (16193850750).

Almost surely, 2455601117320 is an apocalyptic number.

455601117320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

455601117320 is an abundant number, since it is smaller than the sum of its proper divisors (580805330680).

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

455601117320 is a wasteful number, since it uses less digits than its factorization.

455601117320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311982 (or 311978 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 455601117320 in words is "four hundred fifty-five billion, six hundred one million, one hundred seventeen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 139 263 278 526 556 695 1052 1112 1315 1390 2104 2630 2780 5260 5560 10520 36557 73114 146228 182785 292456 311569 365570 623138 731140 1246276 1462280 1557845 2492552 3115690 6231380 12462760 43308091 81942647 86616182 163885294 173232364 216540455 327770588 346464728 409713235 433080910 655541176 819426470 866161820 1638852940 1732323640 3277705880 11390027933 22780055866 45560111732 56950139665 91120223464 113900279330 227800558660 455601117320