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39920537951268 = 22313419473658871
BaseRepresentation
bin10010001001110101110010…
…11110111101110000100100
312020100100212221001200201120
421010322321132331300210
520213024230203420033
6220523124132453540
711260110100552122
oct1104727136756044
9166310787050646
1039920537951268
11117a1228a46817
124588a4b47a2b0
13193764ba44c10
149c0242d74912
15493658ab11b3
hex244eb97bdc24

39920537951268 has 96 divisors (see below), whose sum is σ = 102770812392192. Its totient is φ = 11982367948800.

The previous prime is 39920537951267. The next prime is 39920537951269. The reversal of 39920537951268 is 86215973502993.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (39920537951267) and next prime (39920537951269).

It is not an unprimeable number, because it can be changed into a prime (39920537951267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60259873 + ... + 60918743.

It is an arithmetic number, because the mean of its divisors is an integer number (1070529295752).

Almost surely, 239920537951268 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 39920537951268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51385406196096).

39920537951268 is an abundant number, since it is smaller than the sum of its proper divisors (62850274440924).

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

39920537951268 is a wasteful number, since it uses less digits than its factorization.

39920537951268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668405 (or 668403 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 69.

The spelling of 39920537951268 in words is "thirty-nine trillion, nine hundred twenty billion, five hundred thirty-seven million, nine hundred fifty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 533 1066 1599 2132 3198 6396 9473 18946 28419 37892 56838 113676 123149 246298 369447 388393 492596 658871 738894 776786 1165179 1317742 1477788 1553572 1976613 2330358 2635484 3953226 4660716 5049109 7906452 8565323 10098218 15147327 17130646 20196436 25695969 27013711 30294654 34261292 51391938 54027422 60589308 81041133 102783876 108054844 162082266 324164532 351178243 702356486 1053534729 1404712972 2107069458 4214138916 6241484983 12482969966 18724454949 24965939932 37448909898 74897819796 81139304779 162278609558 243417914337 255900884303 324557219116 486835828674 511801768606 767702652909 973671657348 1023603537212 1535405305818 3070810611636 3326711495939 6653422991878 9980134487817 13306845983756 19960268975634 39920537951268