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20871303680 = 29515751929
BaseRepresentation
bin10011011100000001…
…101101001000000000
31222212120001002012102
4103130001231020000
5320221023204210
613331012245532
71336132103603
oct233401551000
958776032172
1020871303680
118940341407
1240659108a8
131c78064846
14101dcd233a
158224c9ea5
hex4dc06d200

20871303680 has 80 divisors (see below), whose sum is σ = 50361921720. Its totient is φ = 8295186432.

The previous prime is 20871303613. The next prime is 20871303707. The reversal of 20871303680 is 8630317802.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19434590464 + 1436713216 = 139408^2 + 37904^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×208713036802 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375956 + ... + 427884.

Almost surely, 220871303680 is an apocalyptic number.

20871303680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20871303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25180960860).

20871303680 is an abundant number, since it is smaller than the sum of its proper divisors (29490618040).

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

20871303680 is an equidigital number, since it uses as much as digits as its factorization.

20871303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52109 (or 52093 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 20871303680 in words is "twenty billion, eight hundred seventy-one million, three hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 157 160 256 314 320 512 628 640 785 1256 1280 1570 2512 2560 3140 5024 6280 10048 12560 20096 25120 40192 50240 51929 80384 100480 103858 200960 207716 259645 401920 415432 519290 830864 1038580 1661728 2077160 3323456 4154320 6646912 8152853 8308640 13293824 16305706 16617280 26587648 32611412 33234560 40764265 65222824 66469120 81528530 130445648 132938240 163057060 260891296 326114120 521782592 652228240 1043565184 1304456480 2087130368 2608912960 4174260736 5217825920 10435651840 20871303680