Search a number
-
+
36821240680 = 2357643204517
BaseRepresentation
bin100010010010101101…
…111000101101101000
310112001010122211110211
4202102231320231220
51100402214200210
624525422550504
72442315244630
oct422255705550
9115033584424
1036821240680
11146856a3124
127177438434
13361a63caa3
141ad43516c0
15e578d238a
hex892b78b68

36821240680 has 64 divisors (see below), whose sum is σ = 94830906240. Its totient is φ = 12604730112.

The previous prime is 36821240669. The next prime is 36821240693. The reversal of 36821240680 is 8604212863.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77782 + ... + 282298.

It is an arithmetic number, because the mean of its divisors is an integer number (1481732910).

Almost surely, 236821240680 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 36821240680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47415453120).

36821240680 is an abundant number, since it is smaller than the sum of its proper divisors (58009665560).

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

36821240680 is a wasteful number, since it uses less digits than its factorization.

36821240680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205178 (or 205174 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 36821240680 in words is "thirty-six billion, eight hundred twenty-one million, two hundred forty thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 643 1286 2572 3215 4501 5144 6430 9002 12860 18004 22505 25720 36008 45010 90020 180040 204517 409034 818068 1022585 1431619 1636136 2045170 2863238 4090340 5726476 7158095 8180680 11452952 14316190 28632380 57264760 131504431 263008862 526017724 657522155 920531017 1052035448 1315044310 1841062034 2630088620 3682124068 4602655085 5260177240 7364248136 9205310170 18410620340 36821240680