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20075047040 = 275171845133
BaseRepresentation
bin10010101100100100…
…001110100010000000
31220211001202001102202
4102230210032202000
5312103203001130
613120005532332
71310323040636
oct225444164200
956731661382
1020075047040
118571927a74
123a831140a8
131b7c0c2779
14d8625d356
157c7642145
hex4ac90e880

20075047040 has 64 divisors (see below), whose sum is σ = 50814990360. Its totient is φ = 7557660672.

The previous prime is 20075046983. The next prime is 20075047051. The reversal of 20075047040 is 4074057002.

It can be written as a sum of positive squares in 4 ways, for example, as 11624289856 + 8450757184 = 107816^2 + 91928^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 20075046994 and 20075047012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 911687 + ... + 933446.

Almost surely, 220075047040 is an apocalyptic number.

20075047040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20075047040 is an abundant number, since it is smaller than the sum of its proper divisors (30739943320).

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

20075047040 is a wasteful number, since it uses less digits than its factorization.

20075047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845169 (or 1845157 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 29.

The spelling of 20075047040 in words is "twenty billion, seventy-five million, forty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 1845133 3690266 7380532 9225665 14761064 18451330 29522128 31367261 36902660 59044256 62734522 73805320 118088512 125469044 147610640 156836305 236177024 250938088 295221280 313672610 501876176 590442560 627345220 1003752352 1180885120 1254690440 2007504704 2509380880 4015009408 5018761760 10037523520 20075047040