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68813164944 = 243217276710159
BaseRepresentation
bin100000000010110010…
…1011001000110010000
320120121201002222020200
41000011211121012100
52111412132234234
651340132535200
74654153152066
oct1000545310620
9216551088220
1068813164944
1127202268357
1211405481500
1366485b24a4
14348b152036
151bcb325d99
hex1005959190

68813164944 has 120 divisors (see below), whose sum is σ = 204003371520. Its totient is φ = 21578517504.

The previous prime is 68813164943. The next prime is 68813164963. The reversal of 68813164944 is 44946131886.

68813164944 is a `hidden beast` number, since 68 + 81 + 3 + 16 + 494 + 4 = 666.

It is a super-2 number, since 2×688131649442 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (68813164943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6768537 + ... + 6778695.

It is an arithmetic number, because the mean of its divisors is an integer number (1700028096).

Almost surely, 268813164944 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 68813164944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102001685760).

68813164944 is an abundant number, since it is smaller than the sum of its proper divisors (135190206576).

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

68813164944 is a wasteful number, since it uses less digits than its factorization.

68813164944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12957 (or 12948 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 68813164944 in words is "sixty-eight billion, eight hundred thirteen million, one hundred sixty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 2767 5534 8301 10159 11068 16602 20318 22136 24903 30477 33204 40636 44272 47039 49806 60954 66408 81272 91431 94078 99612 121908 132816 141117 162544 172703 182862 188156 199224 243816 282234 345406 365724 376312 398448 423351 487632 518109 564468 690812 731448 752624 846702 1036218 1128936 1381624 1462896 1554327 1693404 2072436 2257872 2763248 3108654 3386808 4144872 6217308 6773616 8289744 12434616 24869232 28109953 56219906 84329859 112439812 168659718 224879624 252989577 337319436 449759248 477869201 505979154 674638872 955738402 1011958308 1349277744 1433607603 1911476804 2023916616 2867215206 3822953608 4047833232 4300822809 5734430412 7645907216 8601645618 11468860824 17203291236 22937721648 34406582472 68813164944