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146734515345 = 35112149542587
BaseRepresentation
bin1000100010101000001…
…1110000010010010001
3112000202011212201001110
42020222003300102101
54401003013442340
6151224153523533
713413134541555
oct2105203602221
9460664781043
10146734515345
1157258899200
12245311135a9
1310ab5b93412
14715dbdb865
153c3c098680
hex222a0f0491

146734515345 has 48 divisors (see below), whose sum is σ = 259791134400. Its totient is φ = 70666400640.

The previous prime is 146734515311. The next prime is 146734515451. The reversal of 146734515345 is 543515437641.

It is not a de Polignac number, because 146734515345 - 211 = 146734513297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 146734515294 and 146734515303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 859 + ... + 541728.

It is an arithmetic number, because the mean of its divisors is an integer number (5412315300).

Almost surely, 2146734515345 is an apocalyptic number.

146734515345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146734515345 is a deficient number, since it is larger than the sum of its proper divisors (113056619055).

146734515345 is a wasteful number, since it uses less digits than its factorization.

146734515345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542766 (or 542755 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 48.

The spelling of 146734515345 in words is "one hundred forty-six billion, seven hundred thirty-four million, five hundred fifteen thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 33 55 121 149 165 363 447 605 745 1639 1815 2235 4917 8195 18029 24585 54087 90145 270435 542587 1627761 2712935 5968457 8138805 17905371 29842285 65653027 80845463 89526855 196959081 242536389 328265135 404227315 889300093 984795405 1212681945 2667900279 4446500465 9782301023 13339501395 29346903069 48911505115 146734515345