Search a number
-
+
645152041151340 = 223514469197431331
BaseRepresentation
bin1001001010110000110010101…
…0001111010010101101101100
310010121021221012000012001120020
42102230030222033102231230
51134030132340013320330
610204042431154522140
7252614461001464002
oct22254145217225554
93117257160161506
10645152041151340
11177624498172958
1260436955296350
13218ca76556ca48
14b54574d9aca72
154e8bd424cb210
hex24ac32a3d2b6c

645152041151340 has 48 divisors (see below), whose sum is σ = 1806427206769920. Its totient is φ = 172040402255040.

The previous prime is 645152041151333. The next prime is 645152041151369. The reversal of 645152041151340 is 43151140251546.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 645152041151292 and 645152041151301.

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, 83099475 + ... + 90530805.

It is an arithmetic number, because the mean of its divisors is an integer number (37633900141040).

Almost surely, 2645152041151340 is an apocalyptic number.

645152041151340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

645152041151340 is an abundant number, since it is smaller than the sum of its proper divisors (1161275165618580).

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

645152041151340 is a wasteful number, since it uses less digits than its factorization.

645152041151340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8878262 (or 8878260 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 645152041151340 in words is "six hundred forty-five trillion, one hundred fifty-two billion, forty-one million, one hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1446919 2893838 4340757 5787676 7234595 7431331 8681514 14469190 14862662 17363028 21703785 22293993 28938380 29725324 37156655 43407570 44587986 74313310 86815140 89175972 111469965 148626620 222939930 445879860 10752534019189 21505068038378 32257602057567 43010136076756 53762670095945 64515204115134 107525340191890 129030408230268 161288010287835 215050680383780 322576020575670 645152041151340