Search a number
-
+
20101978944 = 263271491539
BaseRepresentation
bin10010101110001010…
…111101101101000000
31220212221102100001200
4102232022331231000
5312132101311234
613122411101200
71311101000415
oct225612755500
956787370050
1020101978944
118586052343
123a90141800
131b848620c8
14d89a7010c
157c9bb1d99
hex4ae2bdb40

20101978944 has 84 divisors (see below), whose sum is σ = 58430342880. Its totient is φ = 6606270720.

The previous prime is 20101978943. The next prime is 20101978993. The reversal of 20101978944 is 44987910102.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20101978944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101978943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204874 + ... + 286665.

It is an arithmetic number, because the mean of its divisors is an integer number (695599320).

Almost surely, 220101978944 is an apocalyptic number.

20101978944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20101978944 is an abundant number, since it is smaller than the sum of its proper divisors (38328363936).

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

20101978944 is a wasteful number, since it uses less digits than its factorization.

20101978944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491628 (or 491615 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 20101978944 in words is "twenty billion, one hundred one million, nine hundred seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 142 144 192 213 284 288 426 568 576 639 852 1136 1278 1704 2272 2556 3408 4544 5112 6816 10224 13632 20448 40896 491539 983078 1474617 1966156 2949234 3932312 4423851 5898468 7864624 8847702 11796936 15729248 17695404 23593872 31458496 34899269 35390808 47187744 69798538 70781616 94375488 104697807 139597076 141563232 209395614 279194152 283126464 314093421 418791228 558388304 628186842 837582456 1116776608 1256373684 1675164912 2233553216 2512747368 3350329824 5025494736 6700659648 10050989472 20101978944