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146457132075 = 33521571381997
BaseRepresentation
bin1000100001100110000…
…1100111110000101011
3112000000211221011202000
42020121201213300223
54344421011211300
6151140444342043
713403226040152
oct2103141476053
9460024834660
10146457132075
1157126262031
1224474244923
1310a70583ac7
147135034599
153c22a55c00
hex2219867c2b

146457132075 has 48 divisors (see below), whose sum is σ = 270761048160. Its totient is φ = 77612895360.

The previous prime is 146457132067. The next prime is 146457132103. The reversal of 146457132075 is 570231754641.

146457132075 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 571 + 3 + 2 + 0 + 75 = 666.

It is not a de Polignac number, because 146457132075 - 23 = 146457132067 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 146457132075.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 585024 + ... + 796973.

It is an arithmetic number, because the mean of its divisors is an integer number (5640855170).

Almost surely, 2146457132075 is an apocalyptic number.

146457132075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

146457132075 is a deficient number, since it is larger than the sum of its proper divisors (124303916085).

146457132075 is a wasteful number, since it uses less digits than its factorization.

146457132075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382173 (or 1382162 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 146457132075 in words is "one hundred forty-six billion, four hundred fifty-seven million, one hundred thirty-two thousand, seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 157 225 471 675 785 1413 2355 3925 4239 7065 11775 21195 35325 105975 1381997 4145991 6909985 12437973 20729955 34549925 37313919 62189865 103649775 186569595 216973529 310949325 650920587 932847975 1084867645 1952761761 3254602935 5424338225 5858285283 9763808805 16273014675 29291426415 48819044025 146457132075