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20125725347664 = 2432269275190403
BaseRepresentation
bin1001001001101111000101…
…01101011100111101010000
32122021000000101212220122200
410210313202231130331100
510114214441142111124
6110445344112403200
74145015143603656
oct444674255347520
978230011786580
1020125725347664
11645a2aa311642
122310600846500
13b2cb036a2591
144d8139b1add6
1524d7b27c0bc9
hex124de2b5cf50

20125725347664 has 60 divisors (see below), whose sum is σ = 56326181161536. Its totient is φ = 6708324684096.

The previous prime is 20125725347653. The next prime is 20125725347719. The reversal of 20125725347664 is 46674352752102.

20125725347664 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 572 + 5 + 3 + 4 + 7 + 6 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20125725347664.

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 11 ways as a sum of consecutive naturals, for example, 1282287 + ... + 6472689.

Almost surely, 220125725347664 is an apocalyptic number.

20125725347664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20125725347664 is an abundant number, since it is smaller than the sum of its proper divisors (36200455813872).

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

20125725347664 is a wasteful number, since it uses less digits than its factorization.

20125725347664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5217344 (or 5217335 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 20125725347664 in words is "twenty trillion, one hundred twenty-five billion, seven hundred twenty-five million, three hundred forty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 26927 53854 80781 107708 161562 215416 242343 323124 430832 484686 646248 969372 1292496 1938744 3877488 5190403 10380806 15571209 20761612 31142418 41523224 46713627 62284836 83046448 93427254 124569672 186854508 249139344 373709016 747418032 139761981581 279523963162 419285944743 559047926324 838571889486 1118095852648 1257857834229 1677143778972 2236191705296 2515715668458 3354287557944 5031431336916 6708575115888 10062862673832 20125725347664