Search a number
-
+
17959991401 = 11237113131271
BaseRepresentation
bin10000101110011111…
…111011100001101001
31201100122220002112201
4100232133323201221
5243240224211101
612130052540201
71204031256652
oct205637734151
951318802481
1017959991401
117686a46400
123592921661
131902b62b61
14c253b4529
15701b03e01
hex42e7fb869

17959991401 has 48 divisors (see below), whose sum is σ = 20686305024. Its totient is φ = 15567552000.

The previous prime is 17959991359. The next prime is 17959991449. The reversal of 17959991401 is 10419995971.

It is not a de Polignac number, because 17959991401 - 229 = 17423120489 is a prime.

It is a super-2 number, since 2×179599914012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (17959991201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66272896 + ... + 66273166.

It is an arithmetic number, because the mean of its divisors is an integer number (430964688).

Almost surely, 217959991401 is an apocalyptic number.

17959991401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

17959991401 is a deficient number, since it is larger than the sum of its proper divisors (2726313623).

17959991401 is a wasteful number, since it uses less digits than its factorization.

17959991401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 55.

The spelling of 17959991401 in words is "seventeen billion, nine hundred fifty-nine million, nine hundred ninety-one thousand, four hundred one".

Divisors: 1 11 37 113 121 131 271 407 1243 1441 2981 4181 4477 4847 10027 13673 14803 15851 30623 32791 35501 45991 53317 110297 162833 336853 390511 505901 547711 586487 1133051 1213267 1313537 1791163 3705383 4011613 4295621 6024821 12463561 14448907 44127743 66273031 137099171 148429681 158937977 485405173 1632726491 17959991401