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20580202697040 = 2433571361124517
BaseRepresentation
bin1001010110111101100111…
…01010111101000101010000
32200212110002201012100222000
410223132303222331011100
510144141223342301130
6111434225315314000
74222604415412320
oct453366352750520
980773081170860
1020580202697040
116615018996928
1223846b82ab900
13b6392155639c
14512131101280
1525a511b76260
hex12b7b3abd150

20580202697040 has 160 divisors (see below), whose sum is σ = 81014131311360. Its totient is φ = 4704046327296.

The previous prime is 20580202696997. The next prime is 20580202697059. The reversal of 20580202697040 is 4079620208502.

20580202697040 is a `hidden beast` number, since 2 + 0 + 580 + 2 + 0 + 2 + 69 + 7 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 680547139 + ... + 680577378.

It is an arithmetic number, because the mean of its divisors is an integer number (506338320696).

Almost surely, 220580202697040 is an apocalyptic number.

20580202697040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20580202697040 is an abundant number, since it is smaller than the sum of its proper divisors (60433928614320).

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

20580202697040 is a wasteful number, since it uses less digits than its factorization.

20580202697040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361124546 (or 1361124534 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 20580202697040 in words is "twenty trillion, five hundred eighty billion, two hundred two million, six hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 1361124517 2722249034 4083373551 5444498068 6805622585 8166747102 9527871619 10888996136 12250120653 13611245170 16333494204 19055743238 20416867755 21777992272 24500241306 27222490340 28583614857 32666988408 36750361959 38111486476 40833735510 47639358095 49000482612 54444980680 57167229714 61250603265 65333976816 73500723918 76222972952 81667471020 85750844571 95278716190 98000965224 108889961360 114334459428 122501206530 142918074285 147001447836 152445945904 163334942040 171501689142 183751809795 190557432380 196001930448 228668918856 245002413060 257252533713 285836148570 294002895672 326669884080 343003378284 367503619590 381114864760 428754222855 457337837712 490004826120 514505067426 571672297140 588005791344 686006756568 735007239180 762229729520 857508445710 980009652240 1029010134852 1143344594280 1286262668565 1372013513136 1470014478360 1715016891420 2058020269704 2286689188560 2572525337130 2940028956720 3430033782840 4116040539408 5145050674260 6860067565680 10290101348520 20580202697040