Search a number
-
+
17893028688 = 2431972726987
BaseRepresentation
bin10000101010100000…
…011111001101010000
31201011222220000222020
4100222200133031100
5243121103404223
612115301411440
71202256143253
oct205240371520
951158800866
1017893028688
11765216a317
123574409b80
1318c2018952
14c1a54309a
156eacc81e3
hex42a81f350

17893028688 has 80 divisors (see below), whose sum is σ = 48725214720. Its totient is φ = 5642448768.

The previous prime is 17893028677. The next prime is 17893028689. The reversal of 17893028688 is 88682039871.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17893028689) 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, 649531 + ... + 676517.

It is an arithmetic number, because the mean of its divisors is an integer number (609065184).

Almost surely, 217893028688 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 17893028688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24362607360).

17893028688 is an abundant number, since it is smaller than the sum of its proper divisors (30832186032).

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

17893028688 is a wasteful number, since it uses less digits than its factorization.

17893028688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27744 (or 27738 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 17893028688 in words is "seventeen billion, eight hundred ninety-three million, twenty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 727 912 1454 2181 2908 4362 5816 8724 11632 13813 17448 26987 27626 34896 41439 53974 55252 80961 82878 107948 110504 161922 165756 215896 221008 323844 331512 431792 512753 647688 663024 1025506 1295376 1538259 2051012 3076518 4102024 6153036 8204048 12306072 19619549 24612144 39239098 58858647 78478196 117717294 156956392 235434588 313912784 372771431 470869176 745542862 941738352 1118314293 1491085724 2236628586 2982171448 4473257172 5964342896 8946514344 17893028688