Search a number
-
+
77323972672 = 2659113181219
BaseRepresentation
bin100100000000011011…
…1100011000001000000
321101120211200210121201
41020000313203001000
52231324414111142
655304441030544
75405105631442
oct1100067430100
9241524623551
1077323972672
112a87a404151
1212b9b785454
1373a38c2aab
143a575c6492
1520285c1ab7
hex1200de3040

77323972672 has 56 divisors (see below), whose sum is σ = 157422189600. Its totient is φ = 37670148096.

The previous prime is 77323972667. The next prime is 77323972699. The reversal of 77323972672 is 27627932377.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 336079 + ... + 517297.

Almost surely, 277323972672 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 77323972672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78711094800).

77323972672 is an abundant number, since it is smaller than the sum of its proper divisors (80098216928).

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

77323972672 is a wasteful number, since it uses less digits than its factorization.

77323972672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181403 (or 181393 counting only the distinct ones).

The product of its digits is 9335088, while the sum is 55.

The spelling of 77323972672 in words is "seventy-seven billion, three hundred twenty-three million, nine hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 59 64 113 118 226 236 452 472 904 944 1808 1888 3616 3776 6667 7232 13334 26668 53336 106672 181219 213344 362438 426688 724876 1449752 2899504 5799008 10691921 11598016 20477747 21383842 40955494 42767684 81910988 85535368 163821976 171070736 327643952 342141472 655287904 684282944 1208187073 1310575808 2416374146 4832748292 9665496584 19330993168 38661986336 77323972672