Search a number
-
+
30635868544 = 273114951817
BaseRepresentation
bin11100100010000010…
…100100000110000000
32221002001210101000221
4130202002210012000
51000220240243134
622023544552424
72133120405001
oct344202440600
987061711027
1030635868544
1111aa1170526
125b2ba82714
132b7303bb88
1416a8a8b1a8
15be487e5b4
hex7220a4180

30635868544 has 64 divisors (see below), whose sum is σ = 63425232000. Its totient is φ = 14724034560.

The previous prime is 30635868541. The next prime is 30635868547. The reversal of 30635868544 is 44586853603.

It is an interprime number because it is at equal distance from previous prime (30635868541) and next prime (30635868547).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 30635868491 and 30635868500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30635868541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 565324 + ... + 617140.

It is an arithmetic number, because the mean of its divisors is an integer number (991019250).

Almost surely, 230635868544 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 30635868544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31712616000).

30635868544 is an abundant number, since it is smaller than the sum of its proper divisors (32789363456).

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

30635868544 is a wasteful number, since it uses less digits than its factorization.

30635868544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52011 (or 51999 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 52.

The spelling of 30635868544 in words is "thirty billion, six hundred thirty-five million, eight hundred sixty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 149 248 298 496 596 992 1192 1984 2384 3968 4619 4768 9238 9536 18476 19072 36952 51817 73904 103634 147808 207268 295616 414536 591232 829072 1606327 1658144 3212654 3316288 6425308 6632576 7720733 12850616 15441466 25701232 30882932 51402464 61765864 102804928 123531728 205609856 239342723 247063456 478685446 494126912 957370892 988253824 1914741784 3829483568 7658967136 15317934272 30635868544