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216312428836 = 227213922392
BaseRepresentation
bin1100100101110100111…
…0011011100100100100
3202200100011222221002101
43021131032123210210
512021001440210321
6243212250021444
721425265210400
oct3113516334444
9680304887071
10216312428836
11838127aa449
1235b0a717884
1317523a3542a
14a680740100
1559605d1791
hex325d39b924

216312428836 has 81 divisors (see below), whose sum is σ = 445404665979. Its totient is φ = 91653284016.

The previous prime is 216312428833. The next prime is 216312428887. The reversal of 216312428836 is 638824213612.

The square root of 216312428836 is 465094.

It is a perfect power (a square), and thus also a powerful number.

216312428836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (216312428831) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 905072805 + ... + 905073043.

Almost surely, 2216312428836 is an apocalyptic number.

216312428836 is the 465094-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216312428836

216312428836 is an abundant number, since it is smaller than the sum of its proper divisors (229092237143).

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

216312428836 is an equidigital number, since it uses as much as digits as its factorization.

216312428836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 387 counting only the distinct ones).

The product of its digits is 663552, while the sum is 46.

The spelling of 216312428836 in words is "two hundred sixteen billion, three hundred twelve million, four hundred twenty-eight thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 98 139 196 239 278 478 556 956 973 1673 1946 3346 3892 6692 6811 11711 13622 19321 23422 27244 33221 38642 46844 57121 66442 77284 114242 132884 135247 228484 232547 270494 399847 465094 540988 799694 930188 946729 1599388 1627829 1893458 2798929 3255658 3786916 4617719 5597858 6511316 7939819 9235438 11195716 15879638 18470876 31759276 32324033 55578733 64648066 111157466 129296132 222314932 226268231 389051131 452536462 778102262 905072924 1103634841 1556204524 2207269682 4414539364 7725443887 15450887774 30901775548 54078107209 108156214418 216312428836