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8241661428 = 22372111398017
BaseRepresentation
bin1111010110011110…
…11100010111110100
3210021101010210001120
413223033130113310
5113334331131203
63441451223540
7411143652300
oct75317342764
923241123046
108241661428
11354a226240
121720147bb0
13a14626250
14582812d00
15333833b53
hex1eb3dc5f4

8241661428 has 144 divisors (see below), whose sum is σ = 26281370304. Its totient is φ = 1976002560.

The previous prime is 8241661427. The next prime is 8241661433.

8241661428 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 8241661428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8241661423) 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, 35076 + ... + 133092.

It is an arithmetic number, because the mean of its divisors is an integer number (182509516).

Almost surely, 28241661428 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 8241661428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13140685152).

8241661428 is an abundant number, since it is smaller than the sum of its proper divisors (18039708876).

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

8241661428 is a wasteful number, since it uses less digits than its factorization.

8241661428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98062 (or 98053 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 8241661428 is about 90783.5966901510. The cubic root of 8241661428 is about 2019.9390096933.

The spelling of 8241661428 in words is "eight billion, two hundred forty-one million, six hundred sixty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 49 52 66 77 78 84 91 98 132 143 147 154 156 182 196 231 273 286 294 308 364 429 462 539 546 572 588 637 858 924 1001 1078 1092 1274 1617 1716 1911 2002 2156 2548 3003 3234 3822 4004 6006 6468 7007 7644 12012 14014 21021 28028 42042 84084 98017 196034 294051 392068 588102 686119 1078187 1176204 1274221 1372238 2058357 2156374 2548442 2744476 3234561 3822663 4116714 4312748 4802833 5096884 6469122 7547309 7645326 8233428 8919547 9605666 12938244 14016431 14408499 15094618 15290652 17839094 19211332 22641927 26758641 28032862 28816998 30189236 35678188 42049293 45283854 52831163 53517282 56065724 57633996 62436829 84098586 90567708 98115017 105662326 107034564 124873658 158493489 168197172 187310487 196230034 211324652 249747316 294345051 316986978 374620974 392460068 588690102 633973956 686805119 749241948 1177380204 1373610238 2060415357 2747220476 4120830714 8241661428