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133240514472 = 233213316616947
BaseRepresentation
bin111110000010111000…
…0001110011110101000
3110201220202112102210100
41330011300032132220
54140334032430342
6141113154345400
712424552454262
oct1740560163650
9421822472710
10133240514472
115156388466a
12219a5b8b260
13c74535a110
14663d9dcb32
1536ec5b5e4c
hex1f05c0e7a8

133240514472 has 192 divisors, whose sum is σ = 401818959360. Its totient is φ = 39608870400.

The previous prime is 133240514467. The next prime is 133240514497. The reversal of 133240514472 is 274415042331.

133240514472 is a `hidden beast` number, since 1 + 3 + 32 + 40 + 514 + 4 + 72 = 666.

133240514472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 19176103 + ... + 19183049.

It is an arithmetic number, because the mean of its divisors is an integer number (2092807080).

Almost surely, 2133240514472 is an apocalyptic number.

133240514472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133240514472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200909479680).

133240514472 is an abundant number, since it is smaller than the sum of its proper divisors (268578444888).

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

133240514472 is a wasteful number, since it uses less digits than its factorization.

133240514472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7664 (or 7657 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 133240514472 in words is "one hundred thirty-three billion, two hundred forty million, five hundred fourteen thousand, four hundred seventy-two".