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133049340609984 = 2632297965118571
BaseRepresentation
bin11110010000000111110110…
…101011110100010111000000
3122110002101121022100020210100
4132100013312223310113000
5114414340022144004414
61150550005010002400
740011332456215461
oct3620076653642700
9573071538306710
10133049340609984
11394369aa204527
1212b09a2ab76400
135931664363aa6
1424bd89ddbcd68
15105adba832609
hex7901f6af45c0

133049340609984 has 84 divisors (see below), whose sum is σ = 394512322871160. Its totient is φ = 42820477432320.

The previous prime is 133049340609947. The next prime is 133049340610177. The reversal of 133049340609984 is 489906043940331.

133049340609984 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 493 + 4 + 0 + 60 + 9 + 9 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3982542582 + ... + 3982575989.

Almost surely, 2133049340609984 is an apocalyptic number.

It is an amenable number.

133049340609984 is an abundant number, since it is smaller than the sum of its proper divisors (261462982261176).

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

133049340609984 is a wasteful number, since it uses less digits than its factorization.

133049340609984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7965118618 (or 7965118605 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 133049340609984 in words is "one hundred thirty-three trillion, forty-nine billion, three hundred forty million, six hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5568 8352 16704 7965118571 15930237142 23895355713 31860474284 47790711426 63720948568 71686067139 95581422852 127441897136 143372134278 191162845704 230988438559 254883794272 286744268556 382325691408 461976877118 509767588544 573488537112 692965315677 764651382816 923953754236 1146977074224 1385930631354 1529302765632 1847907508472 2078895947031 2293954148448 2771861262708 3695815016944 4157791894062 4587908296896 5543722525416 7391630033888 8315583788124 11087445050832 14783260067776 16631167576248 22174890101664 33262335152496 44349780203328 66524670304992 133049340609984