Search a number
-
+
16372642506 = 231117233132027
BaseRepresentation
bin11110011111110001…
…01011001011001010
31120021001000102012220
433033320223023022
5232012344030011
611304350314510
71116505110423
oct171770531312
946231012186
1016372642506
116a41a25710
12320b1b8a36
13170c03955c
14b1465464a
1565c5a3506
hex3cfe2b2ca

16372642506 has 128 divisors (see below), whose sum is σ = 39613556736. Its totient is φ = 4450068480.

The previous prime is 16372642501. The next prime is 16372642519. The reversal of 16372642506 is 60524627361.

It is not an unprimeable number, because it can be changed into a prime (16372642501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8076265 + ... + 8078291.

It is an arithmetic number, because the mean of its divisors is an integer number (309480912).

Almost surely, 216372642506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16372642506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19806778368).

16372642506 is an abundant number, since it is smaller than the sum of its proper divisors (23240914230).

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

16372642506 is a wasteful number, since it uses less digits than its factorization.

16372642506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396.

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 16372642506 in words is "sixteen billion, three hundred seventy-two million, six hundred forty-two thousand, five hundred six".

Divisors: 1 2 3 6 11 17 22 23 33 34 46 51 66 69 102 138 187 253 313 374 391 506 561 626 759 782 939 1122 1173 1518 1878 2027 2346 3443 4054 4301 5321 6081 6886 7199 8602 10329 10642 12162 12903 14398 15963 20658 21597 22297 25806 31926 34459 43194 44594 46621 58531 66891 68918 79189 93242 103377 117062 122383 133782 139863 158378 175593 206754 237567 244766 279726 351186 367149 379049 475134 512831 634451 734298 758098 792557 1025662 1137147 1268902 1346213 1538493 1585114 1903353 2274294 2377671 2692426 3076986 3806706 4038639 4755342 6978961 8077278 8718127 10785667 13957922 14592373 17436254 20936883 21571334 26154381 29184746 32357001 41873766 43777119 52308762 64714002 87554238 118642337 160516103 237284674 248070341 321032206 355927011 481548309 496140682 711854022 744211023 963096618 1488422046 2728773751 5457547502 8186321253 16372642506