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159556557696 = 27312715312137
BaseRepresentation
bin1001010010011001001…
…1111101101110000000
3120020211202210221111220
42110212103331232000
510103232434321241
6201144350435040
714345650235334
oct2244623755600
9506752727456
10159556557696
1161738576418
1226b0b202a80
131207a427a23
147a18a817c4
15423ca97166
hex25264fdb80

159556557696 has 128 divisors (see below), whose sum is σ = 427638312960. Its totient is φ = 52707594240.

The previous prime is 159556557691. The next prime is 159556557701. The reversal of 159556557696 is 696755655951.

It is an interprime number because it is at equal distance from previous prime (159556557691) and next prime (159556557701).

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 159556557696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159556557691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74662740 + ... + 74664876.

It is an arithmetic number, because the mean of its divisors is an integer number (3340924320).

Almost surely, 2159556557696 is an apocalyptic number.

159556557696 is a gapful number since it is divisible by the number (16) 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 159556557696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213819156480).

159556557696 is an abundant number, since it is smaller than the sum of its proper divisors (268081755264).

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

159556557696 is a wasteful number, since it uses less digits than its factorization.

159556557696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3812 (or 3800 counting only the distinct ones).

The product of its digits is 382725000, while the sum is 69.

The spelling of 159556557696 in words is "one hundred fifty-nine billion, five hundred fifty-six million, five hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 1016 1524 1531 2032 2137 3048 3062 4064 4274 4593 6096 6124 6411 8128 8548 9186 12192 12248 12822 16256 17096 18372 24384 24496 25644 34192 36744 48768 48992 51288 68384 73488 97984 102576 136768 146976 194437 195968 205152 271399 273536 293952 388874 410304 542798 583311 587904 777748 814197 820608 1085596 1166622 1555496 1628394 2171192 2333244 3110992 3256788 3271747 4342384 4666488 6221984 6513576 6543494 8684768 9332976 9815241 12443968 13027152 13086988 17369536 18665952 19630482 24887936 26054304 26173976 34739072 37331904 39260964 52108608 52347952 74663808 78521928 104217216 104695904 157043856 209391808 314087712 415511869 418783616 628175424 831023738 1246535607 1256350848 1662047476 2493071214 3324094952 4986142428 6648189904 9972284856 13296379808 19944569712 26592759616 39889139424 53185519232 79778278848 159556557696