Search a number
-
+
11300033988 = 2232378483509
BaseRepresentation
bin10101000011000100…
…01101010111000100
31002011112000012111100
422201202031113010
5141120302041423
65105142540100
7550011463335
oct124142152704
932145005440
1011300033988
114879635871
122234437630
1310b1137a59
14792a9228c
154620a8343
hex2a188d5c4

11300033988 has 36 divisors (see below), whose sum is σ = 29335977580. Its totient is φ = 3664875456.

The previous prime is 11300033971. The next prime is 11300033993. The reversal of 11300033988 is 88933000311.

11300033988 is a `hidden beast` number, since 11 + 300 + 0 + 339 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5057769924 + 6242264064 = 71118^2 + 79008^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4240423 + ... + 4243086.

Almost surely, 211300033988 is an apocalyptic number.

11300033988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11300033988 is an abundant number, since it is smaller than the sum of its proper divisors (18035943592).

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

11300033988 is a wasteful number, since it uses less digits than its factorization.

11300033988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8483556 (or 8483551 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11300033988 in words is "eleven billion, three hundred million, thirty-three thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 8483509 16967018 25450527 33934036 50901054 76351581 101802108 152703162 305406324 313889833 627779666 941669499 1255559332 1883338998 2825008497 3766677996 5650016994 11300033988