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31678391668 = 227111721918731
BaseRepresentation
bin11101100000001011…
…011110010101110100
310000202201111000220111
4131200023132111310
51004334132013133
622315225512404
72201006613010
oct354013362564
9100681430814
1031678391668
1112486698590
126181042704
132cab017171
141767307540
15c561601cd
hex7602de574

31678391668 has 144 divisors (see below), whose sum is σ = 77289730560. Its totient is φ = 11004249600.

The previous prime is 31678391663. The next prime is 31678391681. The reversal of 31678391668 is 86619387613.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31678391663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1681863 + ... + 1700593.

It is an arithmetic number, because the mean of its divisors is an integer number (536734240).

Almost surely, 231678391668 is an apocalyptic number.

31678391668 is a gapful number since it is divisible by the number (38) 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 31678391668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38644865280).

31678391668 is an abundant number, since it is smaller than the sum of its proper divisors (45611338892).

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

31678391668 is a wasteful number, since it uses less digits than its factorization.

31678391668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18806 (or 18787 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 58.

The spelling of 31678391668 in words is "thirty-one billion, six hundred seventy-eight million, three hundred ninety-one thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 11 14 17 19 22 28 34 38 44 68 76 77 119 133 154 187 209 238 266 289 308 323 374 418 476 532 578 646 748 836 1156 1292 1309 1463 2023 2261 2618 2926 3179 3553 4046 4522 5236 5491 5852 6358 7106 8092 9044 10982 12716 14212 18731 21964 22253 24871 37462 38437 44506 49742 60401 74924 76874 89012 99484 120802 131117 153748 206041 241604 262234 318427 355889 412082 422807 524468 636854 711778 824164 845614 1273708 1423556 1442287 1691228 2228989 2491223 2884574 3502697 3914779 4457978 4982446 5413259 5769148 6050113 7005394 7829558 8915956 9964892 10826518 12100226 14010788 15659116 21653036 24200452 24518879 27403453 37892813 42350791 49037758 54806906 59545849 66551243 75785626 84701582 98075516 102851921 109613812 119091698 133102486 151571252 169403164 205703842 238183396 266204972 411407684 416820943 465858701 719963447 833641886 931717402 1131371131 1439926894 1667283772 1863434804 2262742262 2879853788 4525484524 7919597917 15839195834 31678391668