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147541786434 = 232721033316189
BaseRepresentation
bin1000100101101000101…
…1001111111101000010
3112002211102220022210200
42021122023033331002
54404131144131214
6151440232310030
713442136330600
oct2113213177502
9462742808720
10147541786434
1157632545999
1224717542316
1310bb41c0a13
1471d90da870
153c87da9d09
hex225a2cff42

147541786434 has 72 divisors (see below), whose sum is σ = 371924483580. Its totient is φ = 42148112832.

The previous prime is 147541786429. The next prime is 147541786453. The reversal of 147541786434 is 434687145741.

147541786434 is a `hidden beast` number, since 1 + 4 + 7 + 541 + 7 + 8 + 64 + 34 = 666.

147541786434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 145675805625 + 1865980809 = 381675^2 + 43197^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9105612 + ... + 9121800.

Almost surely, 2147541786434 is an apocalyptic number.

147541786434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

147541786434 is an abundant number, since it is smaller than the sum of its proper divisors (224382697146).

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

147541786434 is a wasteful number, since it uses less digits than its factorization.

147541786434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26544 (or 26534 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 147541786434 in words is "one hundred forty-seven billion, five hundred forty-one million, seven hundred eighty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 10333 16189 20666 30999 32378 48567 61998 72331 92997 97134 113323 144662 145701 185994 216993 226646 291402 339969 433986 506317 650979 679938 793261 1012634 1019907 1301958 1518951 1586522 2039814 2379783 3037902 4556853 4759566 7139349 9113706 14278698 167280937 334561874 501842811 1003685622 1170966559 1505528433 2341933118 3011056866 3512899677 7025799354 8196765913 10538699031 16393531826 21077398062 24590297739 49180595478 73770893217 147541786434