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2156655384 = 2332135414259
BaseRepresentation
bin1000000010001011…
…1111001100011000
312120022010110000100
42000202333030120
513404100433014
6554000335400
7104305161012
oct20042771430
95508113010
102156655384
11a07415124
12502314560
13284a66660
141665d71b2
15c9509009
hex808bf318

2156655384 has 96 divisors (see below), whose sum is σ = 6303351600. Its totient is φ = 662204160.

The previous prime is 2156655359. The next prime is 2156655407. The reversal of 2156655384 is 4835566512.

2156655384 is a `hidden beast` number, since 2 + 1 + 56 + 65 + 538 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504247 + ... + 508505.

Almost surely, 22156655384 is an apocalyptic number.

2156655384 is a gapful number since it is divisible by the number (24) 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 2156655384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151675800).

2156655384 is an abundant number, since it is smaller than the sum of its proper divisors (4146696216).

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

2156655384 is a wasteful number, since it uses less digits than its factorization.

2156655384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4825 (or 4818 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 2156655384 is about 46439.8038755549. The cubic root of 2156655384 is about 1291.9932696535.

The spelling of 2156655384 in words is "two billion, one hundred fifty-six million, six hundred fifty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 541 936 1082 1623 2164 3246 4259 4328 4869 6492 7033 8518 9738 12777 12984 14066 17036 19476 21099 25554 28132 34072 38331 38952 42198 51108 55367 56264 63297 76662 84396 102216 110734 126594 153324 166101 168792 221468 253188 306648 332202 442936 498303 506376 664404 996606 1328808 1993212 2304119 3986424 4608238 6912357 9216476 13824714 18432952 20737071 27649428 29953547 41474142 55298856 59907094 82948284 89860641 119814188 165896568 179721282 239628376 269581923 359442564 539163846 718885128 1078327692 2156655384