Search a number
-
+
216103288032 = 25325171145109
BaseRepresentation
bin1100100101000011000…
…0100111110011100000
3202122210121110110211200
43021100300213303200
512020034420204112
6243135415241200
721420145432422
oct3112060476340
9678717413750
10216103288032
1183715743905
1235a70679200
13174bc5ca688
14a660a5c812
15594c06dcdc
hex3250c27ce0

216103288032 has 72 divisors (see below), whose sum is σ = 614666805480. Its totient is φ = 72020002560.

The previous prime is 216103288001. The next prime is 216103288069. The reversal of 216103288032 is 230882301612.

216103288032 is a `hidden beast` number, since 2 + 1 + 610 + 3 + 2 + 8 + 8 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1416694 + ... + 1561802.

It is an arithmetic number, because the mean of its divisors is an integer number (8537038965).

Almost surely, 2216103288032 is an apocalyptic number.

It is an amenable number.

216103288032 is an abundant number, since it is smaller than the sum of its proper divisors (398563517448).

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

216103288032 is a wasteful number, since it uses less digits than its factorization.

216103288032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150296 (or 150285 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 216103288032 its reverse (230882301612), we get a palindrome (446985589644).

The spelling of 216103288032 in words is "two hundred sixteen billion, one hundred three million, two hundred eighty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5171 10342 15513 20684 31026 41368 46539 62052 82736 93078 124104 145109 165472 186156 248208 290218 372312 435327 496416 580436 744624 870654 1160872 1305981 1489248 1741308 2321744 2611962 3482616 4643488 5223924 6965232 10447848 13930464 20895696 41791392 750358639 1500717278 2251075917 3001434556 4502151834 6002869112 6753227751 9004303668 12005738224 13506455502 18008607336 24011476448 27012911004 36017214672 54025822008 72034429344 108051644016 216103288032