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26082020987136 = 28321063972
BaseRepresentation
bin1011110111000101100011…
…00110001001000100000000
310102100102020212221220201100
411323202301212021010000
511404311434333042021
6131245525351334400
75331235536306342
oct573426146110400
9112312225856640
1026082020987136
118346360988074
122b12a54081400
1311726a73904ca
1466253b385292
153036be948626
hex17b8b1989100

26082020987136 has 81 divisors (see below), whose sum is σ = 75201603250501. Its totient is φ = 8693925282816.

The previous prime is 26082020987083. The next prime is 26082020987171. The reversal of 26082020987136 is 63178902028062.

The square root of 26082020987136 is 5107056.

It is a perfect power (a square), and thus also a powerful number.

26082020987136 is a `hidden beast` number, since 2 + 608 + 2 + 0 + 20 + 9 + 8 + 7 + 1 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25963508793600 + 118512193536 = 5095440^2 + 344256^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 245085490 + ... + 245191886.

Almost surely, 226082020987136 is an apocalyptic number.

26082020987136 is the 5107056-th square number.

It is an amenable number.

26082020987136 is an abundant number, since it is smaller than the sum of its proper divisors (49119582263365).

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

26082020987136 is an frugal number, since it uses more digits than its factorization.

26082020987136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212816 (or 106402 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 26082020987136 in words is "twenty-six trillion, eighty-two billion, twenty million, nine hundred eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 106397 212794 319191 425588 638382 851176 957573 1276764 1702352 1915146 2553528 3404704 3830292 5107056 6809408 7660584 10214112 13618816 15321168 20428224 27237632 30642336 40856448 61284672 81712896 122569344 245138688 11320321609 22640643218 33960964827 45281286436 67921929654 90562572872 101882894481 135843859308 181125145744 203765788962 271687718616 362250291488 407531577924 543375437232 724500582976 815063155848 1086750874464 1449001165952 1630126311696 2173501748928 2898002331904 3260252623392 4347003497856 6520505246784 8694006995712 13041010493568 26082020987136