Search a number
-
+
2180015317344 = 25377329377093
BaseRepresentation
bin11111101110010011000…
…010011110000101100000
321201102000000102110122210
4133232103002132011200
5241204132410123334
64345252450002120
7313333545312114
oct37562302360540
97642000373583
102180015317344
117705a28a5127
122b2602876340
1312a76140c827
1477728715744
153ba91c0e5e9
hex1fb9309e160

2180015317344 has 48 divisors (see below), whose sum is σ = 5729943430512. Its totient is φ = 725731680768.

The previous prime is 2180015317327. The next prime is 2180015317349. The reversal of 2180015317344 is 4437135100812.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×21800153173442 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180015317349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14614339 + ... + 14762754.

It is an arithmetic number, because the mean of its divisors is an integer number (119373821469).

Almost surely, 22180015317344 is an apocalyptic number.

2180015317344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2180015317344 is an abundant number, since it is smaller than the sum of its proper divisors (3549928113168).

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

2180015317344 is a wasteful number, since it uses less digits than its factorization.

2180015317344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29377879 (or 29377871 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 2180015317344 in words is "two trillion, one hundred eighty billion, fifteen million, three hundred seventeen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 773 1546 2319 3092 4638 6184 9276 12368 18552 24736 37104 74208 29377093 58754186 88131279 117508372 176262558 235016744 352525116 470033488 705050232 940066976 1410100464 2820200928 22708492889 45416985778 68125478667 90833971556 136250957334 181667943112 272501914668 363335886224 545003829336 726671772448 1090007658672 2180015317344