Search a number
-
+
20496961664 = 271912836569
BaseRepresentation
bin10011000101101101…
…101101000010000000
31221220110122112111022
4103011231231002000
5313434210233124
613225521005012
71323635204504
oct230555550200
957813575438
1020496961664
118769000743
123b80483768
131c18637aaa
14dc62ca304
157ee6d3c5e
hex4c5b6d080

20496961664 has 64 divisors (see below), whose sum is σ = 43022988000. Its totient is φ = 9700042752.

The previous prime is 20496961657. The next prime is 20496961687. The reversal of 20496961664 is 46616969402.

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

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, 3116972 + ... + 3123540.

Almost surely, 220496961664 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 20496961664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21511494000).

20496961664 is an abundant number, since it is smaller than the sum of its proper divisors (22526026336).

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

20496961664 is a wasteful number, since it uses less digits than its factorization.

20496961664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7885 (or 7873 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 53.

The spelling of 20496961664 in words is "twenty billion, four hundred ninety-six million, nine hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 1283 2432 2566 5132 6569 10264 13138 20528 24377 26276 41056 48754 52552 82112 97508 105104 124811 164224 195016 210208 249622 390032 420416 499244 780064 840832 998488 1560128 1996976 3120256 3993952 7987904 8428027 15975808 16856054 33712108 67424216 134848432 160132513 269696864 320265026 539393728 640530052 1078787456 1281060104 2562120208 5124240416 10248480832 20496961664