Search a number
-
+
67767243472 = 24319711031277
BaseRepresentation
bin111111000111001111…
…100001001011010000
320110220211000122201101
4333013033201023100
52102241403242342
651044251114144
74616223031255
oct770717411320
9213824018641
1067767243472
112681592a045
1211173142954
13650c9b7446
1433cc28d42c
151b695c33b7
hexfc73e12d0

67767243472 has 80 divisors (see below), whose sum is σ = 137163220992. Its totient is φ = 32397742080.

The previous prime is 67767243469. The next prime is 67767243541. The reversal of 67767243472 is 27434276776.

It is a super-2 number, since 2×677672434722 (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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53066898 + ... + 53068174.

Almost surely, 267767243472 is an apocalyptic number.

67767243472 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67767243472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68581610496).

67767243472 is an abundant number, since it is smaller than the sum of its proper divisors (69395977520).

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

67767243472 is a wasteful number, since it uses less digits than its factorization.

67767243472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2510 counting only the distinct ones).

The product of its digits is 16595712, while the sum is 55.

The spelling of 67767243472 in words is "sixty-seven billion, seven hundred sixty-seven million, two hundred forty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 31 62 97 124 194 248 388 496 776 1103 1277 1552 2206 2554 3007 4412 5108 6014 8824 10216 12028 17648 20432 24056 34193 39587 48112 68386 79174 106991 123869 136772 158348 213982 247738 273544 316696 427964 495476 547088 633392 855928 990952 1408531 1711856 1981904 2817062 3316721 3839939 5634124 6633442 7679878 11268248 13266884 15359756 22536496 26533768 30719512 43664461 53067536 61439024 87328922 136627507 174657844 273255014 349315688 546510028 698631376 1093020056 2186040112 4235452717 8470905434 16941810868 33883621736 67767243472