Search a number
-
+
20425492152 = 23321335361819
BaseRepresentation
bin10011000001011101…
…000100011010111000
31221201111011111202100
4103001131010122320
5313312411222102
613214445103400
71322106550542
oct230135043270
957644144670
1020425492152
11873172662a
123b60557b60
131c068a3440
14dbaa04692
157e82b7a1c
hex4c17446b8

20425492152 has 96 divisors (see below), whose sum is σ = 59744084400. Its totient is φ = 6266861568.

The previous prime is 20425492103. The next prime is 20425492177. The reversal of 20425492152 is 25129452402.

20425492152 is a `hidden beast` number, since 2 + 0 + 42 + 549 + 21 + 52 = 666.

It is a super-2 number, since 2×204254921522 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 299499 + ... + 361317.

Almost surely, 220425492152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20425492152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29872042200).

20425492152 is an abundant number, since it is smaller than the sum of its proper divisors (39318592248).

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

20425492152 is a wasteful number, since it uses less digits than its factorization.

20425492152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62197 (or 62190 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 20425492152 in words is "twenty billion, four hundred twenty-five million, four hundred ninety-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 353 468 706 936 1059 1412 2118 2824 3177 4236 4589 6354 8472 9178 12708 13767 18356 25416 27534 36712 41301 55068 61819 82602 110136 123638 165204 185457 247276 330408 370914 494552 556371 741828 803647 1112742 1483656 1607294 2225484 2410941 3214588 4450968 4821882 6429176 7232823 9643764 14465646 19287528 21822107 28931292 43644214 57862584 65466321 87288428 130932642 174576856 196398963 261865284 283687391 392797926 523730568 567374782 785595852 851062173 1134749564 1571191704 1702124346 2269499128 2553186519 3404248692 5106373038 6808497384 10212746076 20425492152