Search a number
-
+
638011637432 = 2313151145327961
BaseRepresentation
bin10010100100011000111…
…01001111111010111000
32020222211010110022022122
421102030131033322320
540423121434344212
61205033135340412
764044344303261
oct11221435177270
92228733408278
10638011637432
11226640a33394
12a3798981708
1348219aab670
1422c46745968
15118e1ee0272
hex948c74feb8

638011637432 has 64 divisors (see below), whose sum is σ = 1297763396160. Its totient is φ = 292305024000.

The previous prime is 638011637411. The next prime is 638011637437. The reversal of 638011637432 is 234736110836.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638011637437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22803932 + ... + 22831892.

It is an arithmetic number, because the mean of its divisors is an integer number (20277553065).

Almost surely, 2638011637432 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 638011637432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648881698080).

638011637432 is an abundant number, since it is smaller than the sum of its proper divisors (659751758728).

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

638011637432 is a wasteful number, since it uses less digits than its factorization.

638011637432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29584 (or 29580 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The spelling of 638011637432 in words is "six hundred thirty-eight billion, eleven million, six hundred thirty-seven thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 151 302 604 1208 1453 1963 2906 3926 5812 7852 11624 15704 18889 27961 37778 55922 75556 111844 151112 219403 223688 363493 438806 726986 877612 1453972 1755224 2852239 2907944 4222111 5704478 8444222 11408956 16888444 22817912 33776888 40627333 54887443 81254666 109774886 162509332 219549772 325018664 439099544 528155329 1056310658 2112621316 4225242632 6134727283 12269454566 24538909132 49077818264 79751454679 159502909358 319005818716 638011637432