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20557101540 = 22351217281527
BaseRepresentation
bin10011001001010011…
…000111100111100100
31222001122210221220010
4103021103013213210
5314100104222130
613235510010220
71325265323433
oct231123074744
958048727803
1020557101540
118799a47718
123b98646970
131c27c33611
14dd02a311a
15804b130b0
hex4c94c79e4

20557101540 has 48 divisors (see below), whose sum is σ = 57607385472. Its totient is φ = 5477369856.

The previous prime is 20557101463. The next prime is 20557101571. The reversal of 20557101540 is 4510175502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20557101498 and 20557101507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67744 + ... + 213783.

It is an arithmetic number, because the mean of its divisors is an integer number (1200153864).

Almost surely, 220557101540 is an apocalyptic number.

20557101540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20557101540 is an abundant number, since it is smaller than the sum of its proper divisors (37050283932).

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

20557101540 is a wasteful number, since it uses less digits than its factorization.

20557101540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282756 (or 282754 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 30.

The spelling of 20557101540 in words is "twenty billion, five hundred fifty-seven million, one hundred one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1217 2434 3651 4868 6085 7302 12170 14604 18255 24340 36510 73020 281527 563054 844581 1126108 1407635 1689162 2815270 3378324 4222905 5630540 8445810 16891620 342618359 685236718 1027855077 1370473436 1713091795 2055710154 3426183590 4111420308 5139275385 6852367180 10278550770 20557101540