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68271370680 = 23353179723027
BaseRepresentation
bin111111100101010010…
…100111000110111000
320112012221121222020110
4333211102213012320
52104304432330210
651210300224320
74634554035012
oct774522470670
9215187558213
1068271370680
1126a544552a7
1211293b3b0a0
136590285c76
1434391db1b2
151b989a4420
hexfe54a71b8

68271370680 has 128 divisors (see below), whose sum is σ = 211695482880. Its totient is φ = 17595548160.

The previous prime is 68271370679. The next prime is 68271370693. The reversal of 68271370680 is 8607317286.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2953327 + ... + 2976353.

It is an arithmetic number, because the mean of its divisors is an integer number (1653870960).

Almost surely, 268271370680 is an apocalyptic number.

68271370680 is a gapful number since it is divisible by the number (60) 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 68271370680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105847741440).

68271370680 is an abundant number, since it is smaller than the sum of its proper divisors (143424112200).

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

68271370680 is a wasteful number, since it uses less digits than its factorization.

68271370680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23869 (or 23865 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 68271370680 in words is "sixty-eight billion, two hundred seventy-one million, three hundred seventy thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 797 930 1240 1594 1860 2391 3188 3720 3985 4782 6376 7970 9564 11955 15940 19128 23027 23910 24707 31880 46054 47820 49414 69081 74121 92108 95640 98828 115135 123535 138162 148242 184216 197656 230270 247070 276324 296484 345405 370605 460540 494140 552648 592968 690810 713837 741210 921080 988280 1381620 1427674 1482420 2141511 2763240 2855348 2964840 3569185 4283022 5710696 7138370 8566044 10707555 14276740 17132088 18352519 21415110 28553480 36705038 42830220 55057557 73410076 85660440 91762595 110115114 146820152 183525190 220230228 275287785 367050380 440460456 550575570 568928089 734100760 1101151140 1137856178 1706784267 2202302280 2275712356 2844640445 3413568534 4551424712 5689280890 6827137068 8533921335 11378561780 13654274136 17067842670 22757123560 34135685340 68271370680