Search a number
-
+
17984053696 = 267241139871
BaseRepresentation
bin10000101111111011…
…101110000111000000
31201102100011120210211
4100233323232013000
5243312404204241
612132312403504
71204442635300
oct205773560700
951370146724
1017984053696
1176995907a4
12359a9a6594
131907b392bb
14c28679600
15703ca8781
hex42feee1c0

17984053696 has 84 divisors (see below), whose sum is σ = 42526403136. Its totient is φ = 7519411200.

The previous prime is 17984053693. The next prime is 17984053751. The reversal of 17984053696 is 69635048971.

It is a super-2 number, since 2×179840536962 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 17984053696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17984053693) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58641 + ... + 198511.

It is an arithmetic number, because the mean of its divisors is an integer number (506266704).

Almost surely, 217984053696 is an apocalyptic number.

17984053696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17984053696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21263201568).

17984053696 is an abundant number, since it is smaller than the sum of its proper divisors (24542349440).

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

17984053696 is a wasteful number, since it uses less digits than its factorization.

17984053696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139938 (or 139921 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 17984053696 in words is "seventeen billion, nine hundred eighty-four million, fifty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 64 82 98 112 164 196 224 287 328 392 448 574 656 784 1148 1312 1568 2009 2296 2624 3136 4018 4592 8036 9184 16072 18368 32144 64288 128576 139871 279742 559484 979097 1118968 1958194 2237936 3916388 4475872 5734711 6853679 7832776 8951744 11469422 13707358 15665552 22938844 27414716 31331104 40142977 45877688 54829432 62662208 80285954 91755376 109658864 160571908 183510752 219317728 281000839 321143816 367021504 438635456 562001678 642287632 1124003356 1284575264 2248006712 2569150528 4496013424 8992026848 17984053696