Search a number
-
+
72864099468 = 22328311243533
BaseRepresentation
bin100001111011100001…
…0011110110010001100
320222002000122202201200
41003313002132302030
52143211202140333
653250122305500
75156432424606
oct1036702366214
9228060582650
1072864099468
11289a0980426
1212156058290
136b42928774
143753164176
151d66cacc13
hex10f709ec8c

72864099468 has 36 divisors (see below), whose sum is σ = 184207169328. Its totient is φ = 24285011040.

The previous prime is 72864099433. The next prime is 72864099479. The reversal of 72864099468 is 86499046827.

72864099468 is a `hidden beast` number, since 7 + 2 + 86 + 4 + 0 + 99 + 468 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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, 177430 + ... + 420962.

Almost surely, 272864099468 is an apocalyptic number.

It is an amenable number.

72864099468 is an abundant number, since it is smaller than the sum of its proper divisors (111343069860).

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

72864099468 is a wasteful number, since it uses less digits than its factorization.

72864099468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251854 (or 251849 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 72864099468 in words is "seventy-two billion, eight hundred sixty-four million, ninety-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 8311 16622 24933 33244 49866 74799 99732 149598 243533 299196 487066 730599 974132 1461198 2191797 2922396 4383594 8767188 2024002763 4048005526 6072008289 8096011052 12144016578 18216024867 24288033156 36432049734 72864099468