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12527604742016 = 277131075515517
BaseRepresentation
bin1011011001001100111101…
…1011100011011110000000
31122100121221022111000011102
42312103033123203132000
53120223013303221031
642351034022433532
72432042503224320
oct266231733433600
948317838430142
1012527604742016
113a9aa22312581
1214a3b255928a8
136cb46a8b7320
143144a70a3280
1516ad122417cb
hexb64cf6e3780

12527604742016 has 64 divisors (see below), whose sum is σ = 30716723194080. Its totient is φ = 4955975497728.

The previous prime is 12527604742007. The next prime is 12527604742021. The reversal of 12527604742016 is 61024740672521.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 537746111 + ... + 537769406.

Almost surely, 212527604742016 is an apocalyptic number.

12527604742016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12527604742016 is an abundant number, since it is smaller than the sum of its proper divisors (18189118452064).

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

12527604742016 is a wasteful number, since it uses less digits than its factorization.

12527604742016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075515551 (or 1075515539 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 47.

The spelling of 12527604742016 in words is "twelve trillion, five hundred twenty-seven billion, six hundred four million, seven hundred forty-two thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 5824 11648 1075515517 2151031034 4302062068 7528608619 8604124136 13981701721 15057217238 17208248272 27963403442 30114434476 34416496544 55926806884 60228868952 68832993088 97871912047 111853613768 120457737904 137665986176 195743824094 223707227536 240915475808 391487648188 447414455072 481830951616 782975296376 894828910144 963661903232 1565950592752 1789657820288 3131901185504 6263802371008 12527604742016