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4561323390 = 2325134195087
BaseRepresentation
bin1000011111110000…
…00100010101111110
3102202212221020101100
410033320010111332
533320144322030
62032340553530
7221014415631
oct41770042576
912685836340
104561323390
111a30825858
12a736b28a6
13578cc7c30
14313b0dc18
151ba6a3360
hex10fe0457e

4561323390 has 96 divisors (see below), whose sum is σ = 13083348096. Its totient is φ = 1095390720.

The previous prime is 4561323337. The next prime is 4561323413. The reversal of 4561323390 is 933231654.

It is a happy number.

4561323390 is a `hidden beast` number, since 4 + 5 + 613 + 2 + 3 + 39 + 0 = 666.

It is a super-2 number, since 2×45613233902 = 41611342136322184200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 427 + ... + 95513.

It is an arithmetic number, because the mean of its divisors is an integer number (136284876).

Almost surely, 24561323390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4561323390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6541674048).

4561323390 is an abundant number, since it is smaller than the sum of its proper divisors (8522024706).

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

4561323390 is a wasteful number, since it uses less digits than its factorization.

4561323390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95154 (or 95151 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 4561323390 is about 67537.5702109574. The cubic root of 4561323390 is about 1658.4292721839.

The spelling of 4561323390 in words is "four billion, five hundred sixty-one million, three hundred twenty-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 41 45 65 78 82 90 117 123 130 195 205 234 246 369 390 410 533 585 615 738 1066 1170 1230 1599 1845 2665 3198 3690 4797 5330 7995 9594 15990 23985 47970 95087 190174 285261 475435 570522 855783 950870 1236131 1426305 1711566 2472262 2852610 3708393 3898567 4278915 6180655 7416786 7797134 8557830 11125179 11695701 12361310 18541965 19492835 22250358 23391402 35087103 37083930 38985670 50681371 55625895 58478505 70174206 101362742 111251790 116957010 152044113 175435515 253406855 304088226 350871030 456132339 506813710 760220565 912264678 1520441130 2280661695 4561323390