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20004022024 = 23723101367419
BaseRepresentation
bin10010101000010101…
…010010011100001000
31220122010002121102121
4102220111102130020
5311432012201044
613104551341024
71305501244630
oct225025223410
956563077377
1020004022024
118535826908
123a63381774
131b6a48552c
14d7aa516c0
157c12b2984
hex4a8552708

20004022024 has 128 divisors (see below), whose sum is σ = 45403545600. Its totient is φ = 8077766400.

The previous prime is 20004021977. The next prime is 20004022033. The reversal of 20004022024 is 42022040002.

It is a junction number, because it is equal to n+sod(n) for n = 20004021989 and 20004022007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47742087 + ... + 47742505.

It is an arithmetic number, because the mean of its divisors is an integer number (354715200).

Almost surely, 220004022024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20004022024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22701772800).

20004022024 is an abundant number, since it is smaller than the sum of its proper divisors (25399523576).

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

20004022024 is a wasteful number, since it uses less digits than its factorization.

20004022024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 20004022024 its reverse (42022040002), we get a palindrome (62026062026).

The spelling of 20004022024 in words is "twenty billion, four million, twenty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 101 161 184 202 322 367 404 419 644 707 734 808 838 1288 1414 1468 1676 2323 2569 2828 2933 2936 3352 4646 5138 5656 5866 8441 9292 9637 10276 11732 16261 16882 18584 19274 20552 23464 32522 33764 37067 38548 42319 59087 65044 67459 67528 74134 77096 84638 118174 130088 134918 148268 153773 169276 236348 259469 269836 296233 296536 307546 338552 472696 518938 539672 592466 615092 852541 973337 1037876 1076411 1184932 1230184 1705082 1946674 2075752 2152822 2369864 3410164 3536779 3893348 4305644 5967787 6813359 6820328 7073558 7786696 8611288 11935574 13626718 14147116 15531073 23871148 24757453 27253436 28294232 31062146 47742296 49514906 54506872 62124292 99029812 108717511 124248584 198059624 217435022 357214679 434870044 714429358 869740088 1428858716 2500502753 2857717432 5001005506 10002011012 20004022024