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20413585540560 = 243585056606419
BaseRepresentation
bin1001010010000111010001…
…00000111100010111010000
32200021112000212121211202110
410221003220200330113100
510133424010344244220
6111225512143345320
74204555452064602
oct451035040742720
980245025554673
1020413585540560
116560397947103
1223583585b2240
13b50cba3c9074
1450804684b172
1525600e2e4be0
hex1290e883c5d0

20413585540560 has 40 divisors (see below), whose sum is σ = 63282115176480. Its totient is φ = 5443622810752.

The previous prime is 20413585540559. The next prime is 20413585540567. The reversal of 20413585540560 is 6504558531402.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×204135855405602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20413585540567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42528302970 + ... + 42528303449.

It is an arithmetic number, because the mean of its divisors is an integer number (1582052879412).

Almost surely, 220413585540560 is an apocalyptic number.

20413585540560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20413585540560 is an abundant number, since it is smaller than the sum of its proper divisors (42868529635920).

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

20413585540560 is a wasteful number, since it uses less digits than its factorization.

20413585540560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85056606435 (or 85056606429 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 48.

The spelling of 20413585540560 in words is "twenty trillion, four hundred thirteen billion, five hundred eighty-five million, five hundred forty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 85056606419 170113212838 255169819257 340226425676 425283032095 510339638514 680452851352 850566064190 1020679277028 1275849096285 1360905702704 1701132128380 2041358554056 2551698192570 3402264256760 4082717108112 5103396385140 6804528513520 10206792770280 20413585540560