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6727040432442 = 2341117412168291
BaseRepresentation
bin110000111100100001011…
…0110101111100100111010
3212211002200000101020120000
41201321002312233210322
51340203434322314232
622150205410413430
71263004222136541
oct141710266574472
925732600336500
106727040432442
112163a15a50180
129078b4291276
1339a484995c05
1419383a45d158
15b9ebbe1027c
hex61e42daf93a

6727040432442 has 80 divisors (see below), whose sum is σ = 16453329276384. Its totient is φ = 2037325284000.

The previous prime is 6727040432429. The next prime is 6727040432467. The reversal of 6727040432442 is 2442340407276.

It is a happy number.

6727040432442 is a `hidden beast` number, since 6 + 72 + 70 + 40 + 4 + 32 + 442 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2018317 + ... + 4186607.

Almost surely, 26727040432442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6727040432442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8226664638192).

6727040432442 is an abundant number, since it is smaller than the sum of its proper divisors (9726288843942).

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

6727040432442 is a wasteful number, since it uses less digits than its factorization.

6727040432442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170057 (or 2170048 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 45.

The spelling of 6727040432442 in words is "six trillion, seven hundred twenty-seven billion, forty million, four hundred thirty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1741 1782 3482 5223 10446 15669 19151 31338 38302 47007 57453 94014 114906 141021 172359 282042 344718 517077 1034154 1551231 2168291 3102462 4336582 6504873 13009746 19514619 23851201 39029238 47702402 58543857 71553603 117087714 143107206 175631571 214660809 351263142 429321618 643982427 1287964854 1931947281 3774994631 3863894562 7549989262 11324983893 22649967786 33974951679 41524940941 67949903358 83049881882 101924855037 124574822823 203849710074 249149645646 305774565111 373724468469 611549130222 747448936938 1121173405407 2242346810814 3363520216221 6727040432442