Search a number
-
+
216401344974 = 232431012768201
BaseRepresentation
bin1100100110001010000…
…1100111100111001110
3202200120101022100002200
43021202201213213032
512021142221014344
6243225143502330
721430425040203
oct3114241474716
9680511270080
10216401344974
1183858a10461
1235b344579a6
1317539297c29
14a68c487caa
1559682e7069
hex32628679ce

216401344974 has 48 divisors (see below), whose sum is σ = 484523932464. Its totient is φ = 69758640000.

The previous prime is 216401344969. The next prime is 216401345029. The reversal of 216401344974 is 479443104612.

216401344974 is a `hidden beast` number, since 21 + 6 + 4 + 0 + 134 + 497 + 4 = 666.

216401344974 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 1305927 + ... + 1462274.

It is an arithmetic number, because the mean of its divisors is an integer number (10094248593).

Almost surely, 2216401344974 is an apocalyptic number.

216401344974 is an abundant number, since it is smaller than the sum of its proper divisors (268122587490).

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

216401344974 is a wasteful number, since it uses less digits than its factorization.

216401344974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768353 (or 2768350 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 216401344974 in words is "two hundred sixteen billion, four hundred one million, three hundred forty-four thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 43 86 101 129 202 258 303 387 606 774 909 1818 4343 8686 13029 26058 39087 78174 2768201 5536402 8304603 16609206 24913809 49827618 119032643 238065286 279588301 357097929 559176602 714195858 838764903 1071293787 1677529806 2142587574 2516294709 5032589418 12022296943 24044593886 36066890829 72133781658 108200672487 216401344974