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133034470452 = 223213284261689
BaseRepresentation
bin111101111100101111…
…0001110110000110100
3110201101101211022112100
41323321132032300310
54134423311023302
6141040514222100
712416501224662
oct1737136166064
9421341738470
10133034470452
1151468543754
1221948b84930
13c711767a90
1466204c5c32
1536d9465d1c
hex1ef978ec34

133034470452 has 36 divisors (see below), whose sum is σ = 362149393060. Its totient is φ = 40933683072.

The previous prime is 133034470451. The next prime is 133034470483. The reversal of 133034470452 is 254074430331.

133034470452 is a `hidden beast` number, since 133 + 0 + 3 + 4 + 4 + 70 + 452 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7203935376 + 125830535076 = 84876^2 + 354726^2 .

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

It is a super-2 number, since 2×1330344704522 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133034470451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142130377 + ... + 142131312.

Almost surely, 2133034470452 is an apocalyptic number.

133034470452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133034470452 is an abundant number, since it is smaller than the sum of its proper divisors (229114922608).

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

133034470452 is a wasteful number, since it uses less digits than its factorization.

133034470452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284261712 (or 284261707 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 133034470452 in words is "one hundred thirty-three billion, thirty-four million, four hundred seventy thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 284261689 568523378 852785067 1137046756 1705570134 2558355201 3411140268 3695401957 5116710402 7390803914 10233420804 11086205871 14781607828 22172411742 33258617613 44344823484 66517235226 133034470452