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149149868535 = 33529107463769
BaseRepresentation
bin1000101011101000000…
…1100110000111110111
3112020222111210100202000
42022322001212013313
54420424331243120
6152303555150343
713530033651603
oct2127201460767
9466874710660
10149149868535
1158288237868
1224aa5ba53b3
13110ac3c63a5
14730c8d6503
153d2e153990
hex22ba0661f7

149149868535 has 128 divisors (see below), whose sum is σ = 277820928000. Its totient is φ = 75822759936.

The previous prime is 149149868519. The next prime is 149149868561. The reversal of 149149868535 is 535868941941.

149149868535 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 4 + 98 + 6 + 8 + 535 = 666.

149149868535 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 149149868535 - 24 = 149149868519 is a prime.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 193952631 + ... + 193953399.

It is an arithmetic number, because the mean of its divisors is an integer number (2170476000).

Almost surely, 2149149868535 is an apocalyptic number.

149149868535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

149149868535 is a deficient number, since it is larger than the sum of its proper divisors (128671059465).

149149868535 is a wasteful number, since it uses less digits than its factorization.

149149868535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1376 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

The spelling of 149149868535 in words is "one hundred forty-nine billion, one hundred forty-nine million, eight hundred sixty-eight thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 27 29 45 87 107 135 145 261 321 435 463 535 769 783 963 1305 1389 1605 2307 2315 2889 3103 3845 3915 4167 4815 6921 6945 9309 11535 12501 13427 14445 15515 20763 20835 22301 27927 34605 40281 46545 49541 62505 66903 67135 82283 83781 103815 111505 120843 139635 148623 200709 201405 246849 247705 334515 356047 362529 411415 418905 445869 602127 604215 740547 743115 1003545 1068141 1234245 1337607 1436689 1780235 1812645 2221641 2229345 2386207 3010635 3204423 3702735 4310067 5340705 6688035 7158621 7183445 9613269 10325363 11108205 11931035 12930201 16022115 21475863 21550335 30976089 35793105 38097029 38790603 48066345 51626815 64427589 64651005 92928267 107379315 114291087 154880445 190485145 193953015 278784801 322137945 342873261 464641335 571455435 1028619783 1104813841 1393924005 1714366305 3314441523 5143098915 5524069205 9943324569 16572207615 29829973707 49716622845 149149868535