Search a number
-
+
30172513536 = 28321139839
BaseRepresentation
bin11100000110011011…
…000000010100000000
32212212202220111110100
4130012123000110000
5443243130413121
621505553402400
72115463063524
oct340633002400
985782814410
1030172513536
1111883663000
125a20869400
132acb047509
141663313d84
15bb8d54026
hex7066c0500

30172513536 has 216 divisors, whose sum is σ = 95697463680. Its totient is φ = 9142256640.

The previous prime is 30172513507. The next prime is 30172513537. The reversal of 30172513536 is 63531527103.

30172513536 is a `hidden beast` number, since 3 + 0 + 1 + 72 + 51 + 3 + 536 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30172513536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30172513537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3061705 + ... + 3071543.

Almost surely, 230172513536 is an apocalyptic number.

30172513536 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 30172513536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47848731840).

30172513536 is an abundant number, since it is smaller than the sum of its proper divisors (65524950144).

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

30172513536 is an equidigital number, since it uses as much as digits as its factorization.

30172513536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9894 (or 9855 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

It can be divided in two parts, 30172513 and 536, that added together give a square (30173049 = 54932).

The spelling of 30172513536 in words is "thirty billion, one hundred seventy-two million, five hundred thirteen thousand, five hundred thirty-six".