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68707042956132 = 22377958491770163
BaseRepresentation
bin11111001111101000110101…
…11000111001001101100100
3100000021022212221211120002120
433213310122320321031210
533001144010444044012
6402043325122505540
720320630401060210
oct1747643270711544
9300238787746076
1068707042956132
111a98a547618139
127857a758052b0
132c4507aaa5739
1412d761d819940
157e236407258c
hex3e7d1ae39364

68707042956132 has 96 divisors (see below), whose sum is σ = 185569832448000. Its totient is φ = 19378770607872.

The previous prime is 68707042956107. The next prime is 68707042956137. The reversal of 68707042956132 is 23165924070786.

It is not an unprimeable number, because it can be changed into a prime (68707042956137) 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, 37928883 + ... + 39699045.

It is an arithmetic number, because the mean of its divisors is an integer number (1933019088000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅68707042956132 = 137414085912264, but 3⋅68707042956132 = 206121128868396 is not.

Almost surely, 268707042956132 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 68707042956132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92784916224000).

68707042956132 is an abundant number, since it is smaller than the sum of its proper divisors (116862789491868).

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

68707042956132 is a wasteful number, since it uses less digits than its factorization.

68707042956132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776105 (or 1776103 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 68707042956132 in words is "sixty-eight trillion, seven hundred seven billion, forty-two million, nine hundred fifty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1659 2212 3318 5849 6636 11698 17547 23396 35094 40943 70188 81886 122829 163772 245658 462071 491316 924142 1386213 1770163 1848284 2772426 3234497 3540326 5310489 5544852 6468994 7080652 9703491 10620978 12391141 12937988 19406982 21241956 24782282 37173423 38813964 49564564 74346846 139842877 148693692 279685754 419528631 559371508 839057262 978900139 1678114524 1957800278 2936700417 3915600556 5873400834 10353683387 11746801668 20707366774 31061050161 41414733548 62122100322 72475783709 124244200644 144951567418 217427351127 289903134836 434854702254 817940987573 869709404508 1635881975146 2453822962719 3271763950292 4907645925438 5725586913011 9815291850876 11451173826022 17176760739033 22902347652044 34353521478066 68707042956132