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20077269408 = 2532721422709
BaseRepresentation
bin10010101100101100…
…101101000110100000
31220211012220221221200
4102230230231012200
5312104240110113
613120125321200
71310350655100
oct225454550640
956735827850
1020077269408
118573105739
123a83a06200
131b7c6c0191
14d8667b200
157c7930873
hex4acb2d1a0

20077269408 has 108 divisors (see below), whose sum is σ = 66416370930. Its totient is φ = 5736358656.

The previous prime is 20077269403. The next prime is 20077269437. The reversal of 20077269408 is 80496277002.

It can be written as a sum of positive squares in only one way, i.e., 18908450064 + 1168819344 = 137508^2 + 34188^2 .

It is not an unprimeable number, because it can be changed into a prime (20077269403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 697243 + ... + 725466.

Almost surely, 220077269408 is an apocalyptic number.

20077269408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20077269408 is an abundant number, since it is smaller than the sum of its proper divisors (46339101522).

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

20077269408 is a wasteful number, since it uses less digits than its factorization.

20077269408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422739 (or 1422721 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 20077269408 in words is "twenty billion, seventy-seven million, two hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 1422709 2845418 4268127 5690836 8536254 9958963 11381672 12804381 17072508 19917926 22763344 25608762 29876889 34145016 39835852 45526688 51217524 59753778 68290032 69712741 79671704 89630667 102435048 119507556 136580064 139425482 159343408 179261334 204870096 209138223 239015112 278850964 318686816 358522668 409740192 418276446 478030224 557701928 627414669 717045336 836552892 956060448 1115403856 1254829338 1434090672 1673105784 2230807712 2509658676 2868181344 3346211568 5019317352 6692423136 10038634704 20077269408