Search a number
-
+
77342430336 = 2731035719447
BaseRepresentation
bin100100000000111110…
…1111101010010000000
321101122010102112202220
41020001331331102000
52231344130232321
655310340411040
75405421545043
oct1100175752200
9241563375686
1077342430336
112a889870716
1212ba59a6a80
1373a76861a2
143a59c2cc5a
15202a01a9c6
hex1201f7d480

77342430336 has 64 divisors (see below), whose sum is σ = 205471231680. Its totient is φ = 25776995328.

The previous prime is 77342430311. The next prime is 77342430343. The reversal of 77342430336 is 63303424377.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3967365 + ... + 3986811.

It is an arithmetic number, because the mean of its divisors is an integer number (3210487995).

Almost surely, 277342430336 is an apocalyptic number.

It is an amenable number.

77342430336 is an abundant number, since it is smaller than the sum of its proper divisors (128128801344).

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

77342430336 is a wasteful number, since it uses less digits than its factorization.

77342430336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29821 (or 29809 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 42.

The spelling of 77342430336 in words is "seventy-seven billion, three hundred forty-two million, four hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 10357 19447 20714 31071 38894 41428 58341 62142 77788 82856 116682 124284 155576 165712 233364 248568 311152 331424 466728 497136 622304 662848 933456 994272 1244608 1325696 1866912 1988544 2489216 3733824 3977088 7467648 201412579 402825158 604237737 805650316 1208475474 1611300632 2416950948 3222601264 4833901896 6445202528 9667803792 12890405056 19335607584 25780810112 38671215168 77342430336