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61406042064786 = 232173121313303727
BaseRepresentation
bin11011111011001001101010…
…10100110000011110010010
322001102100201122121000011100
431331210311110300132102
531022034033232033121
6334333313555325230
715635303652331626
oct1575446524603622
9261370648530140
1061406042064786
1118625179991071
126a78a9b2b0816
13283574618b713
1411240d5581186
157174a33a9026
hex37d935530792

61406042064786 has 96 divisors (see below), whose sum is σ = 145424266610688. Its totient is φ = 18642264514560.

The previous prime is 61406042064781. The next prime is 61406042064823. The reversal of 61406042064786 is 68746024060416.

It is a happy number.

61406042064786 is a `hidden beast` number, since 6 + 1 + 4 + 0 + 604 + 20 + 6 + 4 + 7 + 8 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (61406042064781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202023255 + ... + 202326981.

It is an arithmetic number, because the mean of its divisors is an integer number (1514836110528).

Almost surely, 261406042064786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61406042064786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72712133305344).

61406042064786 is an abundant number, since it is smaller than the sum of its proper divisors (84018224545902).

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

61406042064786 is a wasteful number, since it uses less digits than its factorization.

61406042064786 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325096 (or 325093 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 61406042064786 in words is "sixty-one trillion, four hundred six billion, forty-two million, sixty-four thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 1054 1581 3162 4743 9486 21313 42626 63939 127878 191817 303727 362321 383634 607454 660703 724642 911181 1086963 1321406 1822362 1982109 2173926 2733543 3260889 3964218 5163359 5467086 5946327 6521778 9415537 10326718 11231951 11892654 15490077 18831074 22463902 28246611 30980154 33695853 46470231 56493222 67391706 84739833 92940462 101087559 160064129 169479666 202175118 320128258 480192387 960384774 1440577161 2881154322 6473333551 12946667102 19420000653 38840001306 58260001959 110046670367 116520003918 200673340081 220093340734 330140011101 401346680162 602020020243 660280022202 990420033303 1204040040486 1806060060729 1980840066606 3411446781377 3612120121458 6822893562754 10234340344131 20468680688262 30703021032393 61406042064786