Search a number
-
+
9954201621 = 3713211172807
BaseRepresentation
bin10010100010101000…
…10001000000010101
3221200201120211120010
421101110101000111
5130341233422441
64323425030433
7501450213660
oct112124210025
927621524503
109954201621
114248984011
121b19785419
13c28373640
146a60406d7
153d3d63116
hex251511015

9954201621 has 32 divisors (see below), whose sum is σ = 16412612608. Its totient is φ = 5225653440.

The previous prime is 9954201563. The next prime is 9954201629. The reversal of 9954201621 is 1261024599.

9954201621 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9954201621 - 26 = 9954201557 is a prime.

It is a super-2 number, since 2×99542016212 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 9954201621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9954201629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28801 + ... + 144006.

It is an arithmetic number, because the mean of its divisors is an integer number (512894144).

Almost surely, 29954201621 is an apocalyptic number.

9954201621 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

9954201621 is the 57603-rd octagonal number.

It is an amenable number.

9954201621 is a deficient number, since it is larger than the sum of its proper divisors (6458410987).

9954201621 is a wasteful number, since it uses less digits than its factorization.

9954201621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173041.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 9954201621 is about 99770.7453164504. The cubic root of 9954201621 is about 2151.1406689926.

It can be divided in two parts, 9954 and 201621, that added together give a triangular number (211575 = T650).

The spelling of 9954201621 in words is "nine billion, nine hundred fifty-four million, two hundred one thousand, six hundred twenty-one".

Divisors: 1 3 7 13 21 39 91 211 273 633 1477 2743 4431 8229 19201 57603 172807 518421 1209649 2246491 3628947 6739473 15725437 36462277 47176311 109386831 255235939 474009601 765707817 1422028803 3318067207 9954201621