Search a number
-
+
68798694784 = 271943736469
BaseRepresentation
bin100000000010010111…
…0001100010110000000
320120120200212210220211
41000010232030112000
52111344431213114
651334454443504
74653616154041
oct1000456142600
9216520783824
1068798694784
11271a5084746
1211400663594
1366455b7071
1434892668c8
151bc9e186c4
hex1004b8c580

68798694784 has 64 divisors (see below), whose sum is σ = 144328878000. Its totient is φ = 32576366592.

The previous prime is 68798694761. The next prime is 68798694851. The reversal of 68798694784 is 48749689786.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a self number, because there is not a number n which added to its sum of digits gives 68798694784.

It is a congruent number.

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, 10631902 + ... + 10638370.

Almost surely, 268798694784 is an apocalyptic number.

68798694784 is a gapful number since it is divisible by the number (64) 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 68798694784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72164439000).

68798694784 is an abundant number, since it is smaller than the sum of its proper divisors (75530183216).

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

68798694784 is a wasteful number, since it uses less digits than its factorization.

68798694784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10875 (or 10863 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 76.

The spelling of 68798694784 in words is "sixty-eight billion, seven hundred ninety-eight million, six hundred ninety-four thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2432 4373 6469 8746 12938 17492 25876 34984 51752 69968 83087 103504 122911 139936 166174 207008 245822 279872 332348 414016 491644 559744 664696 828032 983288 1329392 1966576 2658784 3933152 5317568 7866304 10635136 15732608 28288937 56577874 113155748 226311496 452622992 537489803 905245984 1074979606 1810491968 2149959212 3620983936 4299918424 8599836848 17199673696 34399347392 68798694784