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3681101392388 = 2272291576536317
BaseRepresentation
bin110101100100010010101…
…111011010101000000100
3111000220120021200221020222
4311210102233122220010
5440302343424024023
611455024042043512
7526644060366200
oct65442257325004
914026507627228
103681101392388
11119a1678517a2
124b55094a9598
1320918483c894
14ca2482d7b00
1565b495ddcc8
hex35912bdaa04

3681101392388 has 144 divisors (see below), whose sum is σ = 7814633364720. Its totient is φ = 1510955357184.

The previous prime is 3681101392313. The next prime is 3681101392439. The reversal of 3681101392388 is 8832931011863.

It can be written as a sum of positive squares in 8 ways, for example, as 169495243204 + 3511606149184 = 411698^2 + 1873928^2 .

It is a super-2 number, since 2×36811013923882 (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 582726206 + ... + 582732522.

It is an arithmetic number, because the mean of its divisors is an integer number (54268287255).

Almost surely, 23681101392388 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 3681101392388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907316682360).

3681101392388 is an abundant number, since it is smaller than the sum of its proper divisors (4133531972332).

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

3681101392388 is a wasteful number, since it uses less digits than its factorization.

3681101392388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7174 (or 7165 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 53.

The spelling of 3681101392388 in words is "three trillion, six hundred eighty-one billion, one hundred one million, three hundred ninety-two thousand, three hundred eighty-eight".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 157 196 203 314 406 628 653 812 1099 1306 1421 2198 2612 2842 4396 4553 4571 5684 6317 7693 9106 9142 12634 15386 18212 18284 18937 25268 30772 31871 31997 37874 44219 63742 63994 75748 88438 102521 127484 127988 132559 176876 183193 205042 223097 265118 309533 366386 410084 446194 530236 619066 717647 732772 892388 927913 991769 1238132 1282351 1435294 1855826 1983538 2564702 2870588 2973109 3711652 3967076 4125001 5023529 5129404 5946218 6942383 8250002 8976457 10047058 11892436 13884766 16500004 17952914 20094116 20811763 27769532 28761301 28875007 35905828 41623526 48596681 57522602 57750014 83247052 97193362 115045204 115500028 119625029 145682341 194386724 201329107 202125049 239250058 291364682 402658214 404250098 478500116 582729364 647625157 805316428 808500196 837375203 1295250314 1409303749 1674750406 2590500628 2818607498 3349500812 4533376099 5637214996 5861626421 9066752198 11723252842 18133504396 18781129553 23446505684 31733632693 37562259106 63467265386 75124518212 126934530772 131467906871 262935813742 525871627484 920275348097 1840550696194 3681101392388