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20915008000 = 29531731889
BaseRepresentation
bin10011011110101000…
…011011001000000000
31222222121021111020221
4103132220123020000
5320313220224000
613335213112424
71340202430465
oct233650331000
958877244227
1020915008000
118962a82087
124078488714
131c841274a3
141025a2b66c
1582625e61a
hex4dea1b200

20915008000 has 160 divisors (see below), whose sum is σ = 52482109680. Its totient is φ = 8313241600.

The previous prime is 20915007977. The next prime is 20915008031. The reversal of 20915008000 is 80051902.

It can be written as a sum of positive squares in 8 ways, for example, as 3334369536 + 17580638464 = 57744^2 + 132592^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11071056 + ... + 11072944.

Almost surely, 220915008000 is an apocalyptic number.

20915008000 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 20915008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26241054840).

20915008000 is an abundant number, since it is smaller than the sum of its proper divisors (31567101680).

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

20915008000 is an equidigital number, since it uses as much as digits as its factorization.

20915008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 20915008000 its reverse (80051902), we get a palindrome (20995059902).

The spelling of 20915008000 in words is "twenty billion, nine hundred fifteen million, eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 173 200 250 256 320 346 400 500 512 640 692 800 865 1000 1280 1384 1600 1730 1889 2000 2560 2768 3200 3460 3778 4000 4325 5536 6400 6920 7556 8000 8650 9445 11072 12800 13840 15112 16000 17300 18890 21625 22144 27680 30224 32000 34600 37780 43250 44288 47225 55360 60448 64000 69200 75560 86500 88576 94450 110720 120896 138400 151120 173000 188900 221440 236125 241792 276800 302240 326797 346000 377800 442880 472250 483584 553600 604480 653594 692000 755600 944500 967168 1107200 1208960 1307188 1384000 1511200 1633985 1889000 2214400 2417920 2614376 2768000 3022400 3267970 3778000 4835840 5228752 5536000 6044800 6535940 7556000 8169925 10457504 11072000 12089600 13071880 15112000 16339850 20915008 24179200 26143760 30224000 32679700 40849625 41830016 52287520 60448000 65359400 81699250 83660032 104575040 120896000 130718800 163398500 167320064 209150080 261437600 326797000 418300160 522875200 653594000 836600320 1045750400 1307188000 2091500800 2614376000 4183001600 5228752000 10457504000 20915008000