Search a number
-
+
80205132924 = 223271682318919
BaseRepresentation
bin100101010110010011…
…0010011010001111100
321200000122002220110200
41022230212103101330
52303230003223144
6100502402203500
75536362244530
oct1125446232174
9250018086420
1080205132924
1131018785524
1213664653590
137742798547
143c4c0d5bc0
1521464ddc69
hex12ac99347c

80205132924 has 72 divisors (see below), whose sum is σ = 231729738240. Its totient is φ = 22913178912.

The previous prime is 80205132871. The next prime is 80205132937. The reversal of 80205132924 is 42923150208.

It is a happy number.

80205132924 is a `hidden beast` number, since 80 + 20 + 513 + 29 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4229937 + ... + 4248855.

Almost surely, 280205132924 is an apocalyptic number.

80205132924 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

80205132924 is an abundant number, since it is smaller than the sum of its proper divisors (151524605316).

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

80205132924 is a wasteful number, since it uses less digits than its factorization.

80205132924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35759 (or 35754 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 80205132924 in words is "eighty billion, two hundred five million, one hundred thirty-two thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 16823 18919 33646 37838 50469 56757 67292 75676 100938 113514 117761 132433 151407 170271 201876 227028 235522 264866 302814 340542 353283 397299 471044 529732 605628 681084 706566 794598 1059849 1191897 1413132 1589196 2119698 2383794 4239396 4767588 318274337 636548674 954823011 1273097348 1909646022 2227920359 2864469033 3819292044 4455840718 5728938066 6683761077 8911681436 11457876132 13367522154 20051283231 26735044308 40102566462 80205132924