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20125718761744 = 2437769112939157
BaseRepresentation
bin1001001001101111000100…
…10100010101000100010000
32122020222222221111022110201
410210313202110111010100
510114214433000333434
6110445343315304544
74145015033614021
oct444674224250420
978228887438421
1020125718761744
11645a2a6623532
1223105ba5ab154
13b2cb0220799b
144d8138cc4c48
1524d7b1e1e614
hex124de2515110

20125718761744 has 80 divisors (see below), whose sum is σ = 40136080692400. Its totient is φ = 9769247834112.

The previous prime is 20125718761697. The next prime is 20125718761763. The reversal of 20125718761744 is 44716781752102.

It can be written as a sum of positive squares in 8 ways, for example, as 299003363344 + 19826715398400 = 546812^2 + 4452720^2 .

It is a super-4 number, since 4×201257187617444 (a number of 54 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513955414 + ... + 513994570.

It is an arithmetic number, because the mean of its divisors is an integer number (501701008655).

Almost surely, 220125718761744 is an apocalyptic number.

It is an amenable number.

20125718761744 is a deficient number, since it is larger than the sum of its proper divisors (20010361930656).

20125718761744 is a wasteful number, since it uses less digits than its factorization.

20125718761744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41100 (or 41094 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 55.

The spelling of 20125718761744 in words is "twenty trillion, one hundred twenty-five billion, seven hundred eighteen million, seven hundred sixty-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 37 74 148 296 592 769 1129 1538 2258 3076 4516 6152 9032 12304 18064 28453 39157 41773 56906 78314 83546 113812 156628 167092 227624 313256 334184 455248 626512 668368 868201 1448809 1736402 2897618 3472804 5795236 6945608 11590472 13891216 23180944 30111733 32123437 44208253 60223466 64246874 88416506 120446932 128493748 176833012 240893864 256987496 353666024 481787728 513974992 707332048 1114134121 1635705361 2228268242 3271410722 4456536484 6542821444 8913072968 13085642888 17826145936 26171285776 33996146557 67992293114 135984586228 271969172456 543938344912 1257857422609 2515714845218 5031429690436 10062859380872 20125718761744