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8990058528 = 2532113191541
BaseRepresentation
bin10000101111101100…
…10110100000100000
3212012112101021212200
420113312112200200
5121402423333103
64044024053200
7435532144113
oct102766264040
925175337780
108990058528
1138a3721040
1218aa904200
13b036ac279
14613d8857a
153793b60a3
hex217d96820

8990058528 has 144 divisors (see below), whose sum is σ = 28789592832. Its totient is φ = 2636352000.

The previous prime is 8990058523. The next prime is 8990058529. The reversal of 8990058528 is 8258500998.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (8990058523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52438 + ... + 143978.

It is an arithmetic number, because the mean of its divisors is an integer number (199927728).

Almost surely, 28990058528 is an apocalyptic number.

8990058528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8990058528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394796416).

8990058528 is an abundant number, since it is smaller than the sum of its proper divisors (19799534304).

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

8990058528 is a wasteful number, since it uses less digits than its factorization.

8990058528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91599 (or 91588 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The square root of 8990058528 is about 94815.9191697259. The cubic root of 8990058528 is about 2079.3176484646.

The spelling of 8990058528 in words is "eight billion, nine hundred ninety million, fifty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 66 72 88 93 96 99 124 132 144 176 186 198 248 264 279 288 341 352 372 396 496 528 558 682 744 792 992 1023 1056 1116 1364 1488 1584 2046 2232 2728 2976 3069 3168 4092 4464 5456 6138 8184 8928 10912 12276 16368 24552 32736 49104 91541 98208 183082 274623 366164 549246 732328 823869 1006951 1098492 1464656 1647738 2013902 2196984 2837771 2929312 3020853 3295476 4027804 4393968 5675542 6041706 6590952 8055608 8513313 8787936 9062559 11351084 12083412 13181904 16111216 17026626 18125118 22702168 24166824 25539939 26363808 31215481 32222432 34053252 36250236 45404336 48333648 51079878 62430962 68106504 72500472 90808672 93646443 96667296 102159756 124861924 136213008 145000944 187292886 204319512 249723848 272426016 280939329 290001888 374585772 408639024 499447696 561878658 749171544 817278048 998895392 1123757316 1498343088 2247514632 2996686176 4495029264 8990058528