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2156027616 = 2532471491069
BaseRepresentation
bin1000000010000010…
…0101111011100000
312120020221112212200
42000200211323200
513403420340431
6553535053200
7104266634541
oct20040457340
95506845780
102156027616
11a07026506
12502071200
132848a69b2
141664b24c8
15c9432ee6
hex80825ee0

2156027616 has 144 divisors (see below), whose sum is σ = 6309576000. Its totient is φ = 698010624.

The previous prime is 2156027609. The next prime is 2156027617. The reversal of 2156027616 is 6167206512.

It is a happy number.

2156027616 is a `hidden beast` number, since 2 + 15 + 6 + 0 + 27 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2156027617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2016330 + ... + 2017398.

It is an arithmetic number, because the mean of its divisors is an integer number (43816500).

Almost surely, 22156027616 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 2156027616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154788000).

2156027616 is an abundant number, since it is smaller than the sum of its proper divisors (4153548384).

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

2156027616 is a wasteful number, since it uses less digits than its factorization.

2156027616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2156027616 is about 46433.0444403552. The cubic root of 2156027616 is about 1291.8678979403.

The spelling of 2156027616 in words is "two billion, one hundred fifty-six million, twenty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 149 188 282 288 298 376 423 447 564 596 752 846 894 1069 1128 1192 1341 1504 1692 1788 2138 2256 2384 2682 3207 3384 3576 4276 4512 4768 5364 6414 6768 7003 7152 8552 9621 10728 12828 13536 14006 14304 17104 19242 21009 21456 25656 28012 34208 38484 42018 42912 50243 51312 56024 63027 76968 84036 100486 102624 112048 126054 150729 153936 159281 168072 200972 224096 252108 301458 307872 318562 336144 401944 452187 477843 504216 602916 637124 672288 803888 904374 955686 1008432 1205832 1274248 1433529 1607776 1808748 1911372 2016864 2411664 2548496 2867058 3617496 3822744 4823328 5096992 5734116 7234992 7486207 7645488 11468232 14469984 14972414 15290976 22458621 22936464 29944828 44917242 45872928 59889656 67375863 89834484 119779312 134751726 179668968 239558624 269503452 359337936 539006904 718675872 1078013808 2156027616