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146056112532 = 223211368828567
BaseRepresentation
bin1000100000000110011…
…1110110100110010100
3111221222220100021100100
42020001213312212110
54343110331100112
6151033001214100
713360256321031
oct2100147664624
9457886307310
10146056112532
1156a3a960120
1224381a91330
1310a08476435
1470d7a86388
153bec7402dc
hex22019f6994

146056112532 has 36 divisors (see below), whose sum is σ = 402760796256. Its totient is φ = 44259427920.

The previous prime is 146056112519. The next prime is 146056112533. The reversal of 146056112532 is 235211650641.

146056112532 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 5 + 6 + 112 + 532 = 666.

146056112532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146056112533) 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, 184413888 + ... + 184414679.

It is an arithmetic number, because the mean of its divisors is an integer number (11187799896).

Almost surely, 2146056112532 is an apocalyptic number.

146056112532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146056112532 is an abundant number, since it is smaller than the sum of its proper divisors (256704683724).

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

146056112532 is a wasteful number, since it uses less digits than its factorization.

146056112532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368828588 (or 368828583 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 146056112532 in words is "one hundred forty-six billion, fifty-six million, one hundred twelve thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 368828567 737657134 1106485701 1475314268 2212971402 3319457103 4057114237 4425942804 6638914206 8114228474 12171342711 13277828412 16228456948 24342685422 36514028133 48685370844 73028056266 146056112532