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20812101696 = 263260112
BaseRepresentation
bin10011011000011111…
…110111100001000000
31222201102122022100100
4103120133313201000
5320110344223241
613321055322400
71334512642221
oct233037674100
958642568310
1020812101696
11890a986051
124049b20400
131c68a06b99
1410160c1248
1581c1d39b6
hex4d87f7840

20812101696 has 63 divisors (see below), whose sum is σ = 59664057583. Its totient is φ = 6936213120.

The previous prime is 20812101637. The next prime is 20812101707. The reversal of 20812101696 is 69610121802.

The square root of 20812101696 is 144264.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20812101696.

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 8 ways as a sum of consecutive naturals, for example, 3459331 + ... + 3465341.

Almost surely, 220812101696 is an apocalyptic number.

20812101696 is the 144264-th square number.

It is an amenable number.

20812101696 is an abundant number, since it is smaller than the sum of its proper divisors (38851955887).

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

20812101696 is an frugal number, since it uses more digits than its factorization.

20812101696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12040 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 20812101696 by its sum of digits (36), we get a square (749235661056 = 8655842).

20812101696 divided by its sum of digits (36) gives a square (578113936 = 240442).

The spelling of 20812101696 in words is "twenty billion, eight hundred twelve million, one hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 6011 12022 18033 24044 36066 48088 54099 72132 96176 108198 144264 192352 216396 288528 384704 432792 577056 865584 1154112 1731168 3462336 36132121 72264242 108396363 144528484 216792726 289056968 325189089 433585452 578113936 650378178 867170904 1156227872 1300756356 1734341808 2312455744 2601512712 3468683616 5203025424 6937367232 10406050848 20812101696