Search a number
-
+
30639663936 = 263572311297
BaseRepresentation
bin11100100010010001…
…000010101101000000
32221002022221012100000
4130202101002231000
51000222223221221
622024202200000
72133164563200
oct344221025500
987068835300
1030639663936
1111aa3323012
125b311b3000
132b73a6a57b
1416a9398400
15be4d7de26
hex722442b40

30639663936 has 504 divisors, whose sum is σ = 109447193856. Its totient is φ = 8465264640.

The previous prime is 30639663919. The next prime is 30639663937. The reversal of 30639663936 is 63936693603.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×306396639362 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30639663937) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23622840 + ... + 23624136.

Almost surely, 230639663936 is an apocalyptic number.

30639663936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30639663936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54723596928).

30639663936 is an abundant number, since it is smaller than the sum of its proper divisors (78807529920).

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

30639663936 is a wasteful number, since it uses less digits than its factorization.

30639663936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 8503056, while the sum is 54.

The spelling of 30639663936 in words is "thirty billion, six hundred thirty-nine million, six hundred sixty-three thousand, nine hundred thirty-six".