Search a number
-
+
213916299168 = 253111315582481
BaseRepresentation
bin1100011100111001100…
…1111010111110100000
3202110011012020221010010
43013032121322332200
512001100033033133
6242134412404520
721312021353535
oct3071631727640
9673135227103
10213916299168
11827a31a07a0
1235560176740
13172314a3320
14a4d440ad8c
155870072263
hex31ce67afa0

213916299168 has 96 divisors (see below), whose sum is σ = 659699957952. Its totient is φ = 59836723200.

The previous prime is 213916299139. The next prime is 213916299173. The reversal of 213916299168 is 861992619312.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7777513 + ... + 7804968.

It is an arithmetic number, because the mean of its divisors is an integer number (6871874562).

Almost surely, 2213916299168 is an apocalyptic number.

It is an amenable number.

213916299168 is an abundant number, since it is smaller than the sum of its proper divisors (445783658784).

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

213916299168 is a wasteful number, since it uses less digits than its factorization.

213916299168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15582518 (or 15582510 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 57.

The spelling of 213916299168 in words is "two hundred thirteen billion, nine hundred sixteen million, two hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 15582481 31164962 46747443 62329924 93494886 124659848 171407291 186989772 202572253 249319696 342814582 373979544 405144506 498639392 514221873 607716759 685629164 747959088 810289012 1028443746 1215433518 1371258328 1495918176 1620578024 2056887492 2228294783 2430867036 2742516656 3241156048 4113774984 4456589566 4861734072 5485033312 6482312096 6684884349 8227549968 8913179132 9723468144 13369768698 16455099936 17826358264 19446936288 26739537396 35652716528 53479074792 71305433056 106958149584 213916299168