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2159096436 = 2232713762539
BaseRepresentation
bin1000000010110001…
…0011001001110100
312120110201110111200
42000230103021310
513410212041221
6554124532500
7104335005540
oct20054231164
95513643450
102159096436
11a08832122
125030b1130
1328540c773
14166a70a20
15c983c426
hex80b13274

2159096436 has 72 divisors (see below), whose sum is σ = 6283018560. Its totient is φ = 612372096.

The previous prime is 2159096431. The next prime is 2159096461. The reversal of 2159096436 is 6346909512.

2159096436 is a `hidden beast` number, since 21 + 590 + 9 + 6 + 4 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2159096391 and 2159096400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2159096431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3255 + ... + 65793.

Almost surely, 22159096436 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 2159096436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141509280).

2159096436 is an abundant number, since it is smaller than the sum of its proper divisors (4123922124).

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

2159096436 is a wasteful number, since it uses less digits than its factorization.

2159096436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62693 (or 62688 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2159096436 is about 46466.0783367824. The cubic root of 2159096436 is about 1292.4805416922.

The spelling of 2159096436 in words is "two billion, one hundred fifty-nine million, ninety-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 252 274 411 548 822 959 1233 1644 1918 2466 2877 3836 4932 5754 8631 11508 17262 34524 62539 125078 187617 250156 375234 437773 562851 750468 875546 1125702 1313319 1751092 2251404 2626638 3939957 5253276 7879914 8567843 15759828 17135686 25703529 34271372 51407058 59974901 77110587 102814116 119949802 154221174 179924703 239899604 308442348 359849406 539774109 719698812 1079548218 2159096436