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20196499137984 = 263313899060681
BaseRepresentation
bin1001001011110010111010…
…01010000010010111000000
32122111202200202020222022000
410211321131022002113000
510121344412234403414
6110542051004344000
74153102035106041
oct445713512022700
978452622228260
1020196499137984
116487318272844
122322272845000
13b366a2224110
144db7313d88c8
15250555cccb09
hex125e5d2825c0

20196499137984 has 112 divisors (see below), whose sum is σ = 63941195703840. Its totient is φ = 6214307420160.

The previous prime is 20196499137931. The next prime is 20196499138001. The reversal of 20196499137984 is 48973199469102.

20196499137984 is a `hidden beast` number, since 2 + 0 + 1 + 96 + 4 + 9 + 91 + 379 + 84 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 449507877 + ... + 449552804.

It is an arithmetic number, because the mean of its divisors is an integer number (570903533070).

Almost surely, 220196499137984 is an apocalyptic number.

20196499137984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20196499137984 is an abundant number, since it is smaller than the sum of its proper divisors (43744696565856).

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

20196499137984 is a wasteful number, since it uses less digits than its factorization.

20196499137984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899060715 (or 899060699 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 20196499137984 in words is "twenty trillion, one hundred ninety-six billion, four hundred ninety-nine million, one hundred thirty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464 899060681 1798121362 2697182043 3596242724 5394364086 7192485448 8091546129 10788728172 11687788853 14384970896 16183092258 21577456344 23375577706 24274638387 28769941792 32366184516 35063366559 43154912688 46751155412 48549276774 57539883584 64732369032 70126733118 86309825376 93502310824 97098553548 105190099677 129464738064 140253466236 172619650752 187004621648 194197107096 210380199354 258929476128 280506932472 315570299031 374009243296 388394214192 420760398708 517858952256 561013864944 631140598062 748018486592 776788428384 841520797416 1122027729888 1262281196124 1553576856768 1683041594832 2244055459776 2524562392248 3366083189664 5049124784496 6732166379328 10098249568992 20196499137984