Search a number
-
+
36353400664 = 2372318933613
BaseRepresentation
bin100001110110110101…
…001101111101011000
310110211112100002121211
4201312311031331120
51043422432310124
624411151312504
72424604543600
oct416665157530
9113745302554
1036353400664
1114465601a89
12706681b734
133574737b89
141a8c16bc00
15e2b7bce94
hex876d4df58

36353400664 has 96 divisors (see below), whose sum is σ = 82771113600. Its totient is φ = 14907594240.

The previous prime is 36353400659. The next prime is 36353400667. The reversal of 36353400664 is 46600435363.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36353400667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1064722 + ... + 1098334.

It is an arithmetic number, because the mean of its divisors is an integer number (862199100).

Almost surely, 236353400664 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 36353400664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41385556800).

36353400664 is an abundant number, since it is smaller than the sum of its proper divisors (46417712936).

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

36353400664 is a wasteful number, since it uses less digits than its factorization.

36353400664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33753 (or 33742 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 40.

The spelling of 36353400664 in words is "thirty-six billion, three hundred fifty-three million, four hundred thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 89 98 124 178 196 217 248 356 392 434 623 712 868 1246 1519 1736 2492 2759 3038 4361 4984 5518 6076 8722 11036 12152 17444 19313 22072 33613 34888 38626 67226 77252 134452 135191 154504 235291 268904 270382 470582 540764 941164 1042003 1081528 1647037 1882328 2084006 2991557 3294074 4168012 5983114 6588148 7294021 8336024 11966228 13176296 14588042 20940899 23932456 29176084 41881798 51058147 58352168 83763596 92738267 102116294 146586293 167527192 185476534 204232588 293172586 370953068 408465176 586345172 649167869 741906136 1172690344 1298335738 2596671476 4544175083 5193342952 9088350166 18176700332 36353400664