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66434415048 = 23321396638131
BaseRepresentation
bin111101110111110011…
…001011100111001000
320100110221001221211200
4331313303023213020
52042024202240143
650304120024200
74541210132151
oct756763134710
9210427057750
1066434415048
11261a154a351
1210a60902060
136359826c81
143303264928
151adc59b1d3
hexf77ccb9c8

66434415048 has 48 divisors (see below), whose sum is σ = 181221003600. Its totient is φ = 21985486560.

The previous prime is 66434415043. The next prime is 66434415049. The reversal of 66434415048 is 84051443466.

66434415048 is a `hidden beast` number, since 66 + 43 + 4 + 41 + 504 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 66434414994 and 66434415012.

It is not an unprimeable number, because it can be changed into a prime (66434415043) 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, 3309058 + ... + 3329073.

It is an arithmetic number, because the mean of its divisors is an integer number (3775437575).

Almost surely, 266434415048 is an apocalyptic number.

It is an amenable number.

66434415048 is an abundant number, since it is smaller than the sum of its proper divisors (114786588552).

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

66434415048 is a wasteful number, since it uses less digits than its factorization.

66434415048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6638282 (or 6638275 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 66434415048 in words is "sixty-six billion, four hundred thirty-four million, four hundred fifteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1668 2502 3336 5004 10008 6638131 13276262 19914393 26552524 39828786 53105048 59743179 79657572 119486358 159315144 238972716 477945432 922700209 1845400418 2768100627 3690800836 5536201254 7381601672 8304301881 11072402508 16608603762 22144805016 33217207524 66434415048