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68823172416 = 2633154721139
BaseRepresentation
bin100000000011000101…
…1100100010101000000
320120122101221101220210
41000012023210111000
52111422213004131
651341131234120
74654334212305
oct1000613442500
9216571841823
1068823172416
1127207983099
12114088a8940
13664a6a757b
14348c5d90ac
151bcc151146
hex10062e4540

68823172416 has 112 divisors (see below), whose sum is σ = 188321208320. Its totient is φ = 22159388160.

The previous prime is 68823172409. The next prime is 68823172421. The reversal of 68823172416 is 61427132886.

It is a super-2 number, since 2×688231724162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 3245175 + ... + 3266313.

It is an arithmetic number, because the mean of its divisors is an integer number (1681439360).

Almost surely, 268823172416 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 68823172416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94160604160).

68823172416 is an abundant number, since it is smaller than the sum of its proper divisors (119498035904).

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

68823172416 is a wasteful number, since it uses less digits than its factorization.

68823172416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21732 (or 21722 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The spelling of 68823172416 in words is "sixty-eight billion, eight hundred twenty-three million, one hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 547 744 992 1094 1488 1641 1984 2188 2976 3282 4376 5952 6564 8752 13128 16957 17504 21139 26256 33914 35008 42278 50871 52512 63417 67828 84556 101742 105024 126834 135656 169112 203484 253668 271312 338224 406968 507336 542624 655309 676448 813936 1014672 1085248 1310618 1352896 1627872 1965927 2029344 2621236 3255744 3931854 4058688 5242472 7863708 10484944 11563033 15727416 20969888 23126066 31454832 34689099 41939776 46252132 62909664 69378198 92504264 125819328 138756396 185008528 277512792 358454023 370017056 555025584 716908046 740034112 1075362069 1110051168 1433816092 2150724138 2220102336 2867632184 4301448276 5735264368 8602896552 11470528736 17205793104 22941057472 34411586208 68823172416