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20040735040 = 265611026677
BaseRepresentation
bin10010101010100001…
…010101100101000000
31220201200011211012221
4102222201111211000
5312020412010130
613112342300424
71306425302644
oct225241254500
956650154187
1020040735040
118554521947
123a73727714
131b74c6ac01
14d8188ac24
157c461587a
hex4aa855940

20040735040 has 56 divisors (see below), whose sum is σ = 48504375432. Its totient is φ = 7884871680.

The previous prime is 20040735031. The next prime is 20040735047. The reversal of 20040735040 is 4053704002.

It can be written as a sum of positive squares in 4 ways, for example, as 1668559104 + 18372175936 = 40848^2 + 135544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20040734996 and 20040735014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20040735047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 493819 + ... + 532858.

Almost surely, 220040735040 is an apocalyptic number.

20040735040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20040735040 is an abundant number, since it is smaller than the sum of its proper divisors (28463640392).

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

20040735040 is a wasteful number, since it uses less digits than its factorization.

20040735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026755 (or 1026745 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The spelling of 20040735040 in words is "twenty billion, forty million, seven hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1952 2440 3904 4880 9760 19520 1026677 2053354 4106708 5133385 8213416 10266770 16426832 20533540 32853664 41067080 62627297 65707328 82134160 125254594 164268320 250509188 313136485 328536640 501018376 626272970 1002036752 1252545940 2004073504 2505091880 4008147008 5010183760 10020367520 20040735040