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129550397471664 = 243131217480135533
BaseRepresentation
bin11101011101001101001101…
…011010111111101110110000
3121222200220012221112101202220
4131131031031122333232300
5113440023203223043124
61135310344143241040
736200464422236301
oct3535151532775660
9558626187471686
10129550397471664
1138308019001164
1212643899ba9180
13573971c641980
1423dc3b63b27a8
15ee9d8316e879
hex75d34d6bfbb0

129550397471664 has 160 divisors (see below), whose sum is σ = 360797286704064. Its totient is φ = 39819490099200.

The previous prime is 129550397471657. The next prime is 129550397471701. The reversal of 129550397471664 is 466174793055921.

It is a super-2 number, since 2×1295503974716642 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3645900042 + ... + 3645935574.

Almost surely, 2129550397471664 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 129550397471664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180398643352032).

129550397471664 is an abundant number, since it is smaller than the sum of its proper divisors (231246889232400).

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

129550397471664 is a wasteful number, since it uses less digits than its factorization.

129550397471664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41575 (or 41569 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 69.

The spelling of 129550397471664 in words is "one hundred twenty-nine trillion, five hundred fifty billion, three hundred ninety-seven million, four hundred seventy-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1217 2434 3651 4801 4868 7302 9602 9736 14403 14604 15821 19204 19472 28806 29208 31642 35533 38408 47463 57612 58416 62413 63284 71066 76816 94926 106599 115224 124826 126568 142132 187239 189852 213198 230448 249652 253136 284264 374478 379704 426396 461929 499304 568528 748956 759408 852792 923858 998608 1385787 1497912 1705584 1847716 2771574 2995824 3695432 5543148 5842817 7390864 11086296 11685634 17528451 22172592 23371268 35056902 43243661 46742536 70113804 75956621 86487322 93485072 129730983 140227608 151913242 170593933 172974644 227869863 259461966 280455216 303826484 341187866 345949288 455739726 511781799 518923932 562167593 607652968 682375732 691898576 911479452 1023563598 1037847864 1124335186 1215305936 1364751464 1686502779 1822958904 2047127196 2075695728 2217721129 2248670372 2729502928 3373005558 3645917808 4094254392 4435442258 4497340744 6653163387 6746011116 8188508784 8870884516 8994681488 13306326774 13492022232 17741769032 26612653548 26984044464 35483538064 53225307096 106450614192 207612816461 415225632922 622838449383 830451265844 1245676898766 1660902531688 2491353797532 2698966613993 3321805063376 4982707595064 5397933227986 8096899841979 9965415190128 10795866455972 16193799683958 21591732911944 32387599367916 43183465823888 64775198735832 129550397471664