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68746674128 = 24111795993643
BaseRepresentation
bin100000000000110011…
…1101111111111010000
320120110001222212222212
41000001213233333100
52111243122033003
651325355451252
74652415042236
oct1000147577720
9216401885885
1068746674128
1127178783870
12113a7156b28
1366378a2002
1434823a4956
151bc558edd8
hex10019effd0

68746674128 has 80 divisors (see below), whose sum is σ = 146401344000. Its totient is φ = 31013523840.

The previous prime is 68746674097. The next prime is 68746674137. The reversal of 68746674128 is 82147664786.

It is a super-2 number, since 2×687466741282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18869075 + ... + 18872717.

It is an arithmetic number, because the mean of its divisors is an integer number (1830016800).

Almost surely, 268746674128 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 68746674128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73200672000).

68746674128 is an abundant number, since it is smaller than the sum of its proper divisors (77654669872).

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

68746674128 is a wasteful number, since it uses less digits than its factorization.

68746674128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440 (or 4434 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 59.

The spelling of 68746674128 in words is "sixty-eight billion, seven hundred forty-six million, six hundred seventy-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 179 358 599 716 1198 1432 1969 2396 2864 3643 3938 4792 6589 7286 7876 9584 13178 14572 15752 26356 29144 31504 40073 52712 58288 80146 105424 107221 160292 214442 320584 428884 641168 652097 857768 1179431 1304194 1715536 2182157 2358862 2608388 4364314 4717724 5216776 7173067 8728628 9435448 10433552 14346134 17457256 18870896 24003727 28692268 34914512 48007454 57384536 96014908 114769072 192029816 384059632 390606103 781212206 1562424412 3124848824 4296667133 6249697648 8593334266 17186668532 34373337064 68746674128