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146053906884 = 223239710219277
BaseRepresentation
bin1000100000000101111…
…1011100000111000100
3111221222202012012202200
42020001133130013010
54343104300010014
6151032442034500
713360231503414
oct2100137340704
9457882165680
10146053906884
1156a39693a76
12243811a8a30
1310a07b83512
1470d7670644
153bec456a09
hex22017dc1c4

146053906884 has 36 divisors (see below), whose sum is σ = 370121810604. Its totient is φ = 48561999552.

The previous prime is 146053906883. The next prime is 146053906909. The reversal of 146053906884 is 488609350641.

146053906884 is a `hidden beast` number, since 1 + 46 + 0 + 539 + 0 + 68 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66827420100 + 79226486784 = 258510^2 + 281472^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 146053906884.

It is not an unprimeable number, because it can be changed into a prime (146053906883) 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, 5095347 + ... + 5123930.

Almost surely, 2146053906884 is an apocalyptic number.

It is an amenable number.

146053906884 is an abundant number, since it is smaller than the sum of its proper divisors (224067903720).

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

146053906884 is a wasteful number, since it uses less digits than its factorization.

146053906884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10219684 (or 10219679 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 146053906884 in words is "one hundred forty-six billion, fifty-three million, nine hundred six thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 397 794 1191 1588 2382 3573 4764 7146 14292 10219277 20438554 30657831 40877108 61315662 91973493 122631324 183946986 367893972 4057052969 8114105938 12171158907 16228211876 24342317814 36513476721 48684635628 73026953442 146053906884