Search a number
-
+
63000000036 = 223267211112373
BaseRepresentation
bin111010101011000101…
…111011011000100100
320000121120121121010200
4322223011323120210
52013011000000121
644535232350500
74360125110331
oct725305733044
9200546547120
1063000000036
1124799948536
12102626a5430
135c3014173c
143099099988
15198ace6a26
hexeab17b624

63000000036 has 72 divisors (see below), whose sum is σ = 161716498944. Its totient is φ = 20675096640.

The previous prime is 63000000031. The next prime is 63000000121.

63000000036 is a `hidden beast` number, since 630 + 0 + 0 + 0 + 0 + 0 + 0 + 36 = 666.

63000000036 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 62999999955 and 63000000018.

It is not an unprimeable number, because it can be changed into a prime (63000000031) 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 23 ways as a sum of consecutive naturals, for example, 5085546 + ... + 5097918.

Almost surely, 263000000036 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 63000000036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80858249472).

63000000036 is an abundant number, since it is smaller than the sum of its proper divisors (98716498908).

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

63000000036 is a wasteful number, since it uses less digits than its factorization.

63000000036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14561 (or 14556 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

It can be divided in two parts, 630000000 and 36, that added together give a palindrome (630000036).

The spelling of 63000000036 in words is "sixty-three billion, thirty-six", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2111 2412 4222 6333 8444 12373 12666 18999 24746 25332 37119 37998 49492 74238 75996 111357 141437 148476 222714 282874 424311 445428 565748 828991 848622 1272933 1657982 1697244 2486973 2545866 3315964 4973946 5091732 7460919 9947892 14921838 26119403 29843676 52238806 78358209 104477612 156716418 235074627 313432836 470149254 940298508 1750000001 3500000002 5250000003 7000000004 10500000006 15750000009 21000000012 31500000018 63000000036