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20501977104 = 243273415087
BaseRepresentation
bin10011000110000000…
…110101100000010000
31221220211002100101100
4103012000311200100
5313442001231404
613230220304400
71324025634000
oct230600654020
957824070340
1020501977104
118770916934
123b820a2100
131c196a28cb
14dc6c34000
157eed74d39
hex4c6035810

20501977104 has 120 divisors (see below), whose sum is σ = 66912185600. Its totient is φ = 5857693632.

The previous prime is 20501977103. The next prime is 20501977117. The reversal of 20501977104 is 40177910502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20501977103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158152 + ... + 256935.

Almost surely, 220501977104 is an apocalyptic number.

20501977104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20501977104 is an abundant number, since it is smaller than the sum of its proper divisors (46410208496).

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

20501977104 is a wasteful number, since it uses less digits than its factorization.

20501977104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415122 (or 415099 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 20501977104 in words is "twenty billion, five hundred one million, nine hundred seventy-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 1008 1029 1176 1372 1764 2058 2352 2744 3087 3528 4116 5488 6174 7056 8232 12348 16464 24696 49392 415087 830174 1245261 1660348 2490522 2905609 3320696 3735783 4981044 5811218 6641392 7471566 8716827 9962088 11622436 14943132 17433654 19924176 20339263 23244872 26150481 29886264 34867308 40678526 46489744 52300962 59772528 61017789 69734616 81357052 104601924 122035578 139469232 142374841 162714104 183053367 209203848 244071156 284749682 325428208 366106734 418407696 427124523 488142312 569499364 732213468 854249046 976284624 1138998728 1281373569 1464426936 1708498092 2277997456 2562747138 2928853872 3416996184 5125494276 6833992368 10250988552 20501977104