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8521045092 = 22327371974639
BaseRepresentation
bin1111110111110010…
…01101010001100100
3210222211211221101200
413323321031101210
5114422341420332
63525311322500
7421105455030
oct77371152144
923884757350
108521045092
1136829a932a
121799820430
13a5a486221
145ab97b1c0
1534d11e17c
hex1fbe4d464

8521045092 has 144 divisors (see below), whose sum is σ = 25415470080. Its totient is φ = 2356252416.

The previous prime is 8521045081. The next prime is 8521045109. The reversal of 8521045092 is 2905401258.

8521045092 is a `hidden beast` number, since 8 + 521 + 0 + 45 + 0 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1834509 + ... + 1839147.

It is an arithmetic number, because the mean of its divisors is an integer number (176496320).

Almost surely, 28521045092 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 8521045092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12707735040).

8521045092 is an abundant number, since it is smaller than the sum of its proper divisors (16894424988).

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

8521045092 is a wasteful number, since it uses less digits than its factorization.

8521045092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4890 (or 4885 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 8521045092 is about 92309.5070510075. The cubic root of 8521045092 is about 2042.5104531625.

The spelling of 8521045092 in words is "eight billion, five hundred twenty-one million, forty-five thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 197 222 252 259 333 394 444 518 591 666 777 788 1036 1182 1332 1379 1554 1773 2331 2364 2758 3108 3546 4137 4639 4662 5516 7092 7289 8274 9278 9324 12411 13917 14578 16548 18556 21867 24822 27834 29156 32473 41751 43734 49644 51023 55668 64946 65601 83502 87468 97419 102046 129892 131202 153069 167004 171643 194838 204092 262404 292257 306138 343286 389676 459207 514929 584514 612276 686572 913883 918414 1029858 1169028 1201501 1544787 1827766 1836828 2059716 2403002 2741649 3089574 3604503 3655532 4806004 5483298 6179148 6397181 7209006 8224947 10813509 10966596 12794362 14418012 16449894 19191543 21627018 25588724 32899788 33813671 38383086 43254036 57574629 67627342 76766172 101441013 115149258 135254684 202882026 230298516 236695697 304323039 405764052 473391394 608646078 710087091 946782788 1217292156 1420174182 2130261273 2840348364 4260522546 8521045092