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20968715520 = 283251820201
BaseRepresentation
bin10011100001110101…
…010011010100000000
32000010100100010010100
4103201311103110000
5320420442344040
613344412202400
71341424066254
oct234165232400
960110303110
1020968715520
118990325365
124092469400
131c922b029c
14102cc0c264
1582ad1cb30
hex4e1d53500

20968715520 has 108 divisors (see below), whose sum is σ = 72549611316. Its totient is φ = 5591654400.

The previous prime is 20968715507. The next prime is 20968715527. The reversal of 20968715520 is 2551786902.

20968715520 is a `hidden beast` number, since 2 + 0 + 96 + 8 + 7 + 1 + 552 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16523559936 + 4445155584 = 128544^2 + 66672^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20968715527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 898581 + ... + 921620.

Almost surely, 220968715520 is an apocalyptic number.

20968715520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20968715520 is an abundant number, since it is smaller than the sum of its proper divisors (51580895796).

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

20968715520 is a wasteful number, since it uses less digits than its factorization.

20968715520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820228 (or 1820211 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 20968715520 in words is "twenty billion, nine hundred sixty-eight million, seven hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 1820201 3640402 5460603 7280804 9101005 10921206 14561608 16381809 18202010 21842412 27303015 29123216 32763618 36404020 43684824 54606030 58246432 65527236 72808040 81909045 87369648 109212060 116492864 131054472 145616080 163818090 174739296 218424120 232985728 262108944 291232160 327636180 349478592 436848240 465971456 524217888 582464320 655272360 698957184 873696480 1048435776 1164928640 1310544720 1397914368 1747392960 2096871552 2329857280 2621089440 3494785920 4193743104 5242178880 6989571840 10484357760 20968715520