Search a number
-
+
20615561424 = 243415907069
BaseRepresentation
bin10011001100110010…
…001000000011010000
31222012201211000210000
4103030302020003100
5314210040431144
613245355010000
71326605244423
oct231462100320
958181730700
1020615561424
118819a46477
123bb4139900
131c37091573
14dd7d5d9ba
15809d0e769
hex4ccc880d0

20615561424 has 50 divisors (see below), whose sum is σ = 59667419570. Its totient is φ = 6871853376.

The previous prime is 20615561413. The next prime is 20615561429. The reversal of 20615561424 is 42416551602.

20615561424 is a `hidden beast` number, since 2 + 0 + 6 + 15 + 5 + 614 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13579707024 + 7035854400 = 116532^2 + 83880^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20615561429) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7952239 + ... + 7954830.

Almost surely, 220615561424 is an apocalyptic number.

20615561424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20615561424 is an abundant number, since it is smaller than the sum of its proper divisors (39051858146).

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

20615561424 is a wasteful number, since it uses less digits than its factorization.

20615561424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15907089 (or 15907074 counting only the distinct ones).

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

The spelling of 20615561424 in words is "twenty billion, six hundred fifteen million, five hundred sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 15907069 31814138 47721207 63628276 95442414 127256552 143163621 190884828 254513104 286327242 381769656 429490863 572654484 763539312 858981726 1145308968 1288472589 1717963452 2290617936 2576945178 3435926904 5153890356 6871853808 10307780712 20615561424