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20540639440 = 2452380913799
BaseRepresentation
bin10011001000010100…
…010100100011010000
31222000111211121010201
4103020110110203100
5314031400430230
613234121104544
71325005361116
oct231024244320
958014747121
1020540639440
118790723482
123b93028154
131c246bb629
14dcc019ab6
158034605ca
hex4c85148d0

20540639440 has 80 divisors (see below), whose sum is σ = 49898592000. Its totient is φ = 7848743936.

The previous prime is 20540639411. The next prime is 20540639461. The reversal of 20540639440 is 4493604502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 20540639440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1481661 + ... + 1495459.

It is an arithmetic number, because the mean of its divisors is an integer number (623732400).

Almost surely, 220540639440 is an apocalyptic number.

20540639440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20540639440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24949296000).

20540639440 is an abundant number, since it is smaller than the sum of its proper divisors (29357952560).

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

20540639440 is a wasteful number, since it uses less digits than its factorization.

20540639440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14644 (or 14638 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 20540639440 in words is "twenty billion, five hundred forty million, six hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 809 920 1618 1840 3236 4045 6472 8090 12944 13799 16180 18607 27598 32360 37214 55196 64720 68995 74428 93035 110392 137990 148856 186070 220784 275980 297712 317377 372140 551960 634754 744280 1103920 1269508 1488560 1586885 2539016 3173770 5078032 6347540 11163391 12695080 22326782 25390160 44653564 55816955 89307128 111633910 178614256 223267820 256757993 446535640 513515986 893071280 1027031972 1283789965 2054063944 2567579930 4108127888 5135159860 10270319720 20540639440