Search a number
-
+
468693792432 = 243216417198259
BaseRepresentation
bin1101101001000000101…
…00111011011010110000
31122210210002001120221100
412310200110323122300
530134341102324212
6555152010324400
745601445334225
oct6644024733260
91583702046840
10468693792432
11170854477388
1276a04729700
13352752863b8
141898351d94c
15c2d24debdc
hex6d2053b6b0

468693792432 has 60 divisors (see below), whose sum is σ = 1311778170040. Its totient is φ = 156220959744.

The previous prime is 468693792431. The next prime is 468693792451. The reversal of 468693792432 is 234297396864.

468693792432 is a `hidden beast` number, since 4 + 6 + 86 + 9 + 37 + 92 + 432 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 468693792432.

It is not an unprimeable number, because it can be changed into a prime (468693792431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2264919 + ... + 2463177.

Almost surely, 2468693792432 is an apocalyptic number.

It is an amenable number.

468693792432 is an abundant number, since it is smaller than the sum of its proper divisors (843084377608).

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

468693792432 is a wasteful number, since it uses less digits than its factorization.

468693792432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214690 (or 214681 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 63.

The spelling of 468693792432 in words is "four hundred sixty-eight billion, six hundred ninety-three million, seven hundred ninety-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 16417 32834 49251 65668 98502 131336 147753 197004 198259 262672 295506 394008 396518 591012 594777 788016 793036 1182024 1189554 1586072 1784331 2364048 2379108 3172144 3568662 4758216 7137324 9516432 14274648 28549296 3254818003 6509636006 9764454009 13019272012 19528908018 26038544024 29293362027 39057816036 52077088048 58586724054 78115632072 117173448108 156231264144 234346896216 468693792432