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12934054525040 = 2451128351935651
BaseRepresentation
bin1011110000110111000110…
…1110011011100001110000
31200210111001111110022010222
42330031301232123201300
53143402420424300130
643301453404112212
72503311633330425
oct274156156334160
950714044408128
1012934054525040
114137335653370
12154a858835668
1372a8a354340c
1432a023ab7d4c
1517669eebbce5
hexbc371b9b870

12934054525040 has 80 divisors (see below), whose sum is σ = 32921386574976. Its totient is φ = 4686673056000.

The previous prime is 12934054525027. The next prime is 12934054525069. The reversal of 12934054525040 is 4052545043921.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 12934054524982 and 12934054525000.

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 15 ways as a sum of consecutive naturals, for example, 25718786 + ... + 26216865.

Almost surely, 212934054525040 is an apocalyptic number.

12934054525040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12934054525040 is an abundant number, since it is smaller than the sum of its proper divisors (19987332049936).

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

12934054525040 is a wasteful number, since it uses less digits than its factorization.

12934054525040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51935958 (or 51935952 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 44.

Adding to 12934054525040 its reverse (4052545043921), we get a palindrome (16986599568961).

The spelling of 12934054525040 in words is "twelve trillion, nine hundred thirty-four billion, fifty-four million, five hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 283 440 566 880 1132 1415 2264 2830 3113 4528 5660 6226 11320 12452 15565 22640 24904 31130 49808 62260 124520 249040 51935651 103871302 207742604 259678255 415485208 519356510 571292161 830970416 1038713020 1142584322 2077426040 2285168644 2856460805 4154852080 4570337288 5712921610 9140674576 11425843220 14697789233 22851686440 29395578466 45703372880 58791156932 73488946165 117582313864 146977892330 161675681563 235164627728 293955784660 323351363126 587911569320 646702726252 808378407815 1175823138640 1293405452504 1616756815630 2586810905008 3233513631260 6467027262520 12934054525040