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19974234945312 = 25347706109161
BaseRepresentation
bin1001000101010100111010…
…01011011011011100100000
32121201111222202222010010000
410202222131023123130200
510104224213121222222
6110252011543340000
74131043106460234
oct442523513333440
977644882863100
1019974234945312
11640103099910a
1222a7182a51600
13b1b74041154b
144d0a884445c4
15249897e409ac
hex122a9d2db720

19974234945312 has 60 divisors (see below), whose sum is σ = 58743670141926. Its totient is φ = 6658078314240.

The previous prime is 19974234945289. The next prime is 19974234945347. The reversal of 19974234945312 is 21354943247991.

19974234945312 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 4 + 2 + 3 + 4 + 94 + 531 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14589069150096 + 5385165795216 = 3819564^2 + 2320596^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19974234945312.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3853051989 + ... + 3853057172.

Almost surely, 219974234945312 is an apocalyptic number.

19974234945312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19974234945312 is an abundant number, since it is smaller than the sum of its proper divisors (38769435196614).

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

19974234945312 is an equidigital number, since it uses as much as digits as its factorization.

19974234945312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7706109183 (or 7706109166 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 19974234945312 in words is "nineteen trillion, nine hundred seventy-four billion, two hundred thirty-four million, nine hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 7706109161 15412218322 23118327483 30824436644 46236654966 61648873288 69354982449 92473309932 123297746576 138709964898 184946619864 208064947347 246595493152 277419929796 369893239728 416129894694 554839859592 624194842041 739786479456 832259789388 1109679719184 1248389684082 1664519578776 2219359438368 2496779368164 3329039157552 4993558736328 6658078315104 9987117472656 19974234945312