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12840540048 = 2432759215909
BaseRepresentation
bin10111111010101101…
…10001011110010000
31020010212202000112100
423331112301132100
5202244134240143
65522053200400
7633125534550
oct137526613620
936125660470
1012840540048
11549a171876
1225a4330100
13129833ccbb
1489b4db160
155024546d3
hex2fd5b1790

12840540048 has 120 divisors (see below), whose sum is σ = 41765630400. Its totient is φ = 3606527232.

The previous prime is 12840540019. The next prime is 12840540061. The reversal of 12840540048 is 84004504821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12840539994 and 12840540021.

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 23 ways as a sum of consecutive naturals, for example, 48483 + ... + 167426.

It is an arithmetic number, because the mean of its divisors is an integer number (348046920).

Almost surely, 212840540048 is an apocalyptic number.

12840540048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12840540048 is an abundant number, since it is smaller than the sum of its proper divisors (28925090352).

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

12840540048 is a wasteful number, since it uses less digits than its factorization.

12840540048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215989 (or 215980 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 12840540048 in words is "twelve billion, eight hundred forty million, five hundred forty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 59 63 72 84 112 118 126 144 168 177 236 252 336 354 413 472 504 531 708 826 944 1008 1062 1239 1416 1652 2124 2478 2832 3304 3717 4248 4956 6608 7434 8496 9912 14868 19824 29736 59472 215909 431818 647727 863636 1295454 1511363 1727272 1943181 2590908 3022726 3454544 3886362 4534089 5181816 6045452 7772724 9068178 10363632 12090904 12738631 13602267 15545448 18136356 24181808 25477262 27204534 31090896 36272712 38215893 50954524 54409068 72545424 76431786 89170417 101909048 108818136 114647679 152863572 178340834 203818096 217636272 229295358 267511251 305727144 356681668 458590716 535022502 611454288 713363336 802533753 917181432 1070045004 1426726672 1605067506 1834362864 2140090008 3210135012 4280180016 6420270024 12840540048