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12142850454648 = 233419519604801
BaseRepresentation
bin1011000010110011101001…
…0010011011010001111000
31120222211211010102002020000
42300230322102123101320
53042422024204022043
641454203135033000
72362202103600144
oct260547222332170
946884733362200
1012142850454648
113961832577791
12144144806b760
136a10b1996124
142dda07a06224
15160ce3ee62d3
hexb0b3a49b478

12142850454648 has 80 divisors (see below), whose sum is σ = 34028660909760. Its totient is φ = 4045541760000.

The previous prime is 12142850454643. The next prime is 12142850454649. The reversal of 12142850454648 is 84645405824121.

12142850454648 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 2 + 8 + 50 + 4 + 546 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12142850454594 and 12142850454603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12142850454643) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3538153 + ... + 6066648.

It is an arithmetic number, because the mean of its divisors is an integer number (425358261372).

Almost surely, 212142850454648 is an apocalyptic number.

12142850454648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12142850454648 is an abundant number, since it is smaller than the sum of its proper divisors (21885810455112).

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

12142850454648 is a wasteful number, since it uses less digits than its factorization.

12142850454648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9606770 (or 9606757 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 12142850454648 in words is "twelve trillion, one hundred forty-two billion, eight hundred fifty million, four hundred fifty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1951 3902 5853 7804 11706 15608 17559 23412 35118 46824 52677 70236 105354 140472 158031 210708 316062 421416 632124 1264248 9604801 19209602 28814403 38419204 57628806 76838408 86443209 115257612 172886418 230515224 259329627 345772836 518659254 691545672 777988881 1037318508 1555977762 2074637016 3111955524 6223911048 18738966751 37477933502 56216900253 74955867004 112433800506 149911734008 168650700759 224867601012 337301401518 449735202024 505952102277 674602803036 1011904204554 1349205606072 1517856306831 2023808409108 3035712613662 4047616818216 6071425227324 12142850454648