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159946828512 = 25313928334231
BaseRepresentation
bin1001010011110110010…
…0101110101011100000
3120021211222011202102120
42110331210232223200
510110032342003022
6201251211344240
714361426416202
oct2247544565340
9507758152376
10159946828512
11619188a6689
1226bb9a52080
1312110240ac3
147a54832772
154261e87d5c
hex253d92eae0

159946828512 has 96 divisors (see below), whose sum is σ = 423130256640. Its totient is φ = 52900853760.

The previous prime is 159946828501. The next prime is 159946828513. The reversal of 159946828512 is 215828649951.

159946828512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1599468285122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159946828513) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37801437 + ... + 37805667.

It is an arithmetic number, because the mean of its divisors is an integer number (4407606840).

Almost surely, 2159946828512 is an apocalyptic number.

159946828512 is a gapful number since it is divisible by the number (12) 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 159946828512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211565128320).

159946828512 is an abundant number, since it is smaller than the sum of its proper divisors (263183428128).

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

159946828512 is a wasteful number, since it uses less digits than its factorization.

159946828512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7216 (or 7208 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 60.

The spelling of 159946828512 in words is "one hundred fifty-nine billion, nine hundred forty-six million, eight hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 2833 3336 4231 4448 5666 6672 8462 8499 11332 12693 13344 16924 16998 22664 25386 33848 33996 45328 50772 67696 67992 90656 101544 135392 135984 203088 271968 393787 406176 588109 787574 1176218 1181361 1575148 1764327 2352436 2362722 3150296 3528654 4704872 4725444 6300592 7057308 9409744 9450888 11986423 12601184 14114616 18819488 18901776 23972846 28229232 35959269 37803552 47945692 56458464 71918538 95891384 143837076 191782768 287674152 383565536 575348304 1150696608 1666112797 3332225594 4998338391 6664451188 9996676782 13328902376 19993353564 26657804752 39986707128 53315609504 79973414256 159946828512