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20450141136 = 2432426133329
BaseRepresentation
bin10011000010111011…
…000110001111010000
31221210012112210210200
4103002323012033100
5313340214004021
613221125255200
71322526221505
oct230273061720
957705483720
1020450141136
118744631797
123b68864500
131c0ba23939
14dbddbd4ac
157ea536126
hex4c2ec63d0

20450141136 has 60 divisors (see below), whose sum is σ = 57247141380. Its totient is φ = 6814909440.

The previous prime is 20450141053. The next prime is 20450141167. The reversal of 20450141136 is 63114105402.

It is a happy number.

20450141136 is a `hidden beast` number, since 20 + 4 + 501 + 4 + 1 + 136 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17624155536 + 2825985600 = 132756^2 + 53160^2 .

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, 596920 + ... + 630248.

It is an arithmetic number, because the mean of its divisors is an integer number (954119023).

Almost surely, 220450141136 is an apocalyptic number.

It is an amenable number.

20450141136 is an abundant number, since it is smaller than the sum of its proper divisors (36797000244).

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

20450141136 is a wasteful number, since it uses less digits than its factorization.

20450141136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37604 (or 37595 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 20450141136 its product of nonzero digits (2880), we get a square (20450144016 = 1430042).

Adding to 20450141136 its reverse (63114105402), we get a palindrome (83564246538).

The spelling of 20450141136 in words is "twenty billion, four hundred fifty million, one hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4261 8522 12783 17044 25566 33329 34088 38349 51132 66658 68176 76698 99987 102264 133316 153396 199974 204528 266632 299961 306792 399948 533264 599922 613584 799896 1199844 1599792 2399688 4799376 142014869 284029738 426044607 568059476 852089214 1136118952 1278133821 1704178428 2272237904 2556267642 3408356856 5112535284 6816713712 10225070568 20450141136