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8045352198 = 23213173353563
BaseRepresentation
bin1110111111000101…
…00101010100000110
3202202200202020102100
413133202211110012
5112434102232243
63410155452530
7403241236212
oct73742452406
922680666370
108045352198
113459434204
121686457146
139b2a61b40
14564711942
153214a80d3
hex1df8a5506

8045352198 has 96 divisors (see below), whose sum is σ = 18968118624. Its totient is φ = 2449852416.

The previous prime is 8045352197. The next prime is 8045352269. The reversal of 8045352198 is 8912535408.

8045352198 is a `hidden beast` number, since 8 + 0 + 4 + 535 + 21 + 98 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8045352193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14289865 + ... + 14290427.

It is an arithmetic number, because the mean of its divisors is an integer number (197584569).

Almost surely, 28045352198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8045352198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9484059312).

8045352198 is an abundant number, since it is smaller than the sum of its proper divisors (10922766426).

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

8045352198 is a wasteful number, since it uses less digits than its factorization.

8045352198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 8045352198 is about 89695.8872970216. The cubic root of 8045352198 is about 2003.7722304987.

It can be divided in two parts, 80453 and 52198, that added together give a cube (132651 = 513).

The spelling of 8045352198 in words is "eight billion, forty-five million, three hundred fifty-two thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 173 234 346 353 519 563 706 1038 1059 1126 1557 1689 2118 2249 3114 3177 3378 4498 4589 5067 6354 6747 7319 9178 10134 13494 13767 14638 20241 21957 27534 40482 41301 43914 61069 65871 82602 97399 122138 131742 183207 194798 198739 292197 366414 397478 549621 584394 596217 793897 876591 1099242 1192434 1266187 1587794 1753182 1788651 2381691 2532374 2583607 3577302 3798561 4763382 5167214 7145073 7597122 7750821 11395683 14290146 15501642 22791366 23252463 34381847 46504926 68763694 103145541 206291082 309436623 446964011 618873246 893928022 1340892033 2681784066 4022676099 8045352198