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30077761506 = 231310315792371
BaseRepresentation
bin11100000000110001…
…100011011111100010
32212122011121121002220
4130000301203133202
5443044401332011
621452330451510
72113232516532
oct340061433742
985564547086
1030077761506
1111835126441
1259b4b93b96
132ab4520620
1416548cb4c2
15bb0889506
hex700c637e2

30077761506 has 64 divisors (see below), whose sum is σ = 65480862720. Its totient is φ = 9155177280.

The previous prime is 30077761433. The next prime is 30077761537. The reversal of 30077761506 is 60516777003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12684501 + ... + 12686871.

It is an arithmetic number, because the mean of its divisors is an integer number (1023138480).

Almost surely, 230077761506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30077761506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32740431360).

30077761506 is an abundant number, since it is smaller than the sum of its proper divisors (35403101214).

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

30077761506 is a wasteful number, since it uses less digits than its factorization.

30077761506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071.

The product of its (nonzero) digits is 185220, while the sum is 42.

The spelling of 30077761506 in words is "thirty billion, seventy-seven million, seven hundred sixty-one thousand, five hundred six".

Divisors: 1 2 3 6 13 26 39 78 103 206 309 618 1339 1579 2371 2678 3158 4017 4737 4742 7113 8034 9474 14226 20527 30823 41054 61581 61646 92469 123162 162637 184938 244213 325274 487911 488426 732639 975822 1465278 2114281 3174769 3743809 4228562 6342843 6349538 7487618 9524307 11231427 12685686 19048614 22462854 48669517 97339034 146008551 292017102 385612327 771224654 1156836981 2313673962 5012960251 10025920502 15038880753 30077761506