Search a number
-
+
67999217472 = 263413117133
BaseRepresentation
bin111111010101000100…
…011011011101000000
320111111222112011020000
4333111010123131000
52103230244424342
651123255120000
74625040545304
oct772504333500
9214458464200
1067999217472
112692487059a
1211218973000
136548a88074
143410dd5d04
151b7eb4644c
hexfd511b740

67999217472 has 70 divisors (see below), whose sum is σ = 201570998178. Its totient is φ = 22666404096.

The previous prime is 67999217453. The next prime is 67999217483. The reversal of 67999217472 is 27471299976.

67999217472 is a `hidden beast` number, since 6 + 79 + 9 + 92 + 1 + 7 + 472 = 666.

67999217472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 61238431296 + 6760786176 = 247464^2 + 82224^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6553383 + ... + 6563750.

Almost surely, 267999217472 is an apocalyptic number.

It is an amenable number.

67999217472 is an abundant number, since it is smaller than the sum of its proper divisors (133571780706).

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

67999217472 is a wasteful number, since it uses less digits than its factorization.

67999217472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13117157 (or 13117138 counting only the distinct ones).

The product of its digits is 24004512, while the sum is 63.

The spelling of 67999217472 in words is "sixty-seven billion, nine hundred ninety-nine million, two hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 13117133 26234266 39351399 52468532 78702798 104937064 118054197 157405596 209874128 236108394 314811192 354162591 419748256 472216788 629622384 708325182 839496512 944433576 1062487773 1259244768 1416650364 1888867152 2124975546 2518489536 2833300728 3777734304 4249951092 5666601456 7555468608 8499902184 11333202912 16999804368 22666405824 33999608736 67999217472