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42734786076 = 22326722379451
BaseRepresentation
bin100111110011001100…
…010001011000011100
311002022021001001201200
4213303030101120130
51200010101123301
631344310435500
73042002455023
oct476314213034
9132267031650
1042734786076
111713a744324
128347962b90
134050828588
1420d58978ba
1511a1b3dc86
hex9f331161c

42734786076 has 72 divisors (see below), whose sum is σ = 110129370624. Its totient is φ = 13969216800.

The previous prime is 42734786069. The next prime is 42734786089. The reversal of 42734786076 is 67068743724.

42734786076 is a `hidden beast` number, since 4 + 27 + 3 + 4 + 7 + 8 + 607 + 6 = 666.

It is a super-2 number, since 2×427347860762 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498151 + ... + 577601.

It is an arithmetic number, because the mean of its divisors is an integer number (1529574592).

Almost surely, 242734786076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42734786076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55064685312).

42734786076 is an abundant number, since it is smaller than the sum of its proper divisors (67394584548).

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

42734786076 is a wasteful number, since it uses less digits than its factorization.

42734786076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79751 (or 79746 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 42734786076 in words is "forty-two billion, seven hundred thirty-four million, seven hundred eighty-six thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 223 268 402 446 603 669 804 892 1206 1338 2007 2412 2676 4014 8028 14941 29882 44823 59764 79451 89646 134469 158902 179292 238353 268938 317804 476706 537876 715059 953412 1430118 2860236 5323217 10646434 15969651 17717573 21292868 31939302 35435146 47908953 53152719 63878604 70870292 95817906 106305438 159458157 191635812 212610876 318916314 637832628 1187077391 2374154782 3561232173 4748309564 7122464346 10683696519 14244928692 21367393038 42734786076