Search a number
-
+
36190898028 = 22328322975273
BaseRepresentation
bin100001101101001001…
…010100011101101100
310110102012120002220200
4201231021110131230
51043104332214103
624343104313500
72420562362145
oct415511243554
9113365502820
1036190898028
111439190038a
127020312890
133549b7c27c
141a7474aacc
15e1c3be0a3
hex86d25476c

36190898028 has 72 divisors (see below), whose sum is σ = 92642619888. Its totient is φ = 11910839808.

The previous prime is 36190898021. The next prime is 36190898039. The reversal of 36190898028 is 82089809163.

It is a happy number.

It is a super-2 number, since 2×361908980282 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36190898021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6860800 + ... + 6866072.

It is an arithmetic number, because the mean of its divisors is an integer number (1286703054).

Almost surely, 236190898028 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 36190898028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46321309944).

36190898028 is an abundant number, since it is smaller than the sum of its proper divisors (56451721860).

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

36190898028 is a wasteful number, since it uses less digits than its factorization.

36190898028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7663 (or 7658 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 36190898028 in words is "thirty-six billion, one hundred ninety million, eight hundred ninety-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2297 2988 4594 5273 6891 9188 10546 13782 15819 20673 21092 27564 31638 41346 47457 63276 82692 94914 189828 190651 381302 437659 571953 762604 875318 1143906 1312977 1715859 1750636 2287812 2625954 3431718 3938931 5251908 6863436 7877862 12112081 15755724 24224162 36336243 48448324 72672486 109008729 145344972 218017458 436034916 1005302723 2010605446 3015908169 4021210892 6031816338 9047724507 12063632676 18095449014 36190898028