Search a number
-
+
68507764948 = 2272234328219
BaseRepresentation
bin111111110011011000…
…011000100011010100
320112211102110001012201
4333303120120203110
52110300441434243
651245543054244
74643454252100
oct776330304324
9215742401181
1068507764948
1127065935867
121133b141384
1365ca24382c
14345c774900
151bae5ec04d
hexff36188d4

68507764948 has 108 divisors (see below), whose sum is σ = 149006964960. Its totient is φ = 27427476384.

The previous prime is 68507764939. The next prime is 68507765071. The reversal of 68507764948 is 84946770586.

It is a self number, because there is not a number n which added to its sum of digits gives 68507764948.

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 35 ways as a sum of consecutive naturals, for example, 8331183 + ... + 8339401.

It is an arithmetic number, because the mean of its divisors is an integer number (1379694120).

Almost surely, 268507764948 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 68507764948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74503482480).

68507764948 is an abundant number, since it is smaller than the sum of its proper divisors (80499200012).

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

68507764948 is a wasteful number, since it uses less digits than its factorization.

68507764948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8346 (or 8294 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 64.

The spelling of 68507764948 in words is "sixty-eight billion, five hundred seven million, seven hundred sixty-four thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 23 28 43 46 49 86 92 98 161 172 196 301 322 602 644 989 1127 1204 1849 1978 2107 2254 3698 3956 4214 4508 6923 7396 8219 8428 12943 13846 16438 25886 27692 32876 42527 48461 51772 57533 85054 90601 96922 115066 170108 181202 189037 193844 230132 297689 353417 362404 378074 402731 595378 706834 756148 805462 1190756 1323259 1413668 1610924 2083823 2473919 2646518 4167646 4947838 5293036 8128591 8335292 9262813 9895676 15196931 16257182 17317433 18525626 30393862 32514364 34634866 37051252 56900137 60787724 69269732 106378517 113800274 212757034 227600548 349529413 398300959 425514068 699058826 744649619 796601918 1398117652 1489299238 1593203836 2446705891 2978598476 4893411782 9786823564 17126941237 34253882474 68507764948