Search a number
-
+
30577907592 = 233466171389
BaseRepresentation
bin11100011110100101…
…011101011110001000
32220221000201122120000
4130132211131132020
51000110421020332
622014114403000
72131514632431
oct343645353610
986830648500
1030577907592
1111a71482611
125b14590460
132b6402705b
1416a10c0488
15bde730b7c
hex71e95d788

30577907592 has 80 divisors (see below), whose sum is σ = 85777226700. Its totient is φ = 10177073280.

The previous prime is 30577907579. The next prime is 30577907597. The reversal of 30577907592 is 29570977503.

It can be written as a sum of positive squares in 2 ways, for example, as 23227588836 + 7350318756 = 152406^2 + 85734^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (30577907597) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 392634 + ... + 464022.

Almost surely, 230577907592 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 30577907592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42888613350).

30577907592 is an abundant number, since it is smaller than the sum of its proper divisors (55199319108).

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

30577907592 is a wasteful number, since it uses less digits than its factorization.

30577907592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72068 (or 72055 counting only the distinct ones).

The product of its (nonzero) digits is 4167450, while the sum is 54.

The spelling of 30577907592 in words is "thirty billion, five hundred seventy-seven million, nine hundred seven thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 661 1322 1983 2644 3966 5288 5949 7932 11898 15864 17847 23796 35694 47592 53541 71388 71389 107082 142776 142778 214164 214167 285556 428328 428334 571112 642501 856668 1285002 1713336 1927503 2570004 3855006 5140008 5782509 7710012 11565018 15420024 23130036 46260072 47188129 94376258 141564387 188752516 283128774 377505032 424693161 566257548 849386322 1132515096 1274079483 1698772644 2548158966 3397545288 3822238449 5096317932 7644476898 10192635864 15288953796 30577907592