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4201330656 = 253130333587
BaseRepresentation
bin1111101001101011…
…0011011111100000
3101211210112201012010
43322122303133200
532101020040111
61532521032520
7206053502265
oct37232633740
911753481163
104201330656
1118665a59a6
12993025740
1351c553593
142bbda126c
15198c93aa6
hexfa6b37e0

4201330656 has 48 divisors (see below), whose sum is σ = 11037285504. Its totient is φ = 1399327104.

The previous prime is 4201330643. The next prime is 4201330663. The reversal of 4201330656 is 6560331024.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 108295 + ... + 141881.

It is an arithmetic number, because the mean of its divisors is an integer number (229943448).

Almost surely, 24201330656 is an apocalyptic number.

It is an amenable number.

4201330656 is an abundant number, since it is smaller than the sum of its proper divisors (6835954848).

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

4201330656 is a wasteful number, since it uses less digits than its factorization.

4201330656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34903 (or 34895 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 4201330656 is about 64817.6724049854. The cubic root of 4201330656 is about 1613.5990183910.

The spelling of 4201330656 in words is "four billion, two hundred one million, three hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1303 2606 3909 5212 7818 10424 15636 20848 31272 33587 41696 62544 67174 100761 125088 134348 201522 268696 403044 537392 806088 1074784 1612176 3224352 43763861 87527722 131291583 175055444 262583166 350110888 525166332 700221776 1050332664 1400443552 2100665328 4201330656