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20108726640 = 2432533184377
BaseRepresentation
bin10010101110100100…
…101101000101110000
31220220102010011011100
4102232210231011300
5312140313223030
613123211444400
71311212233122
oct225644550560
956812104140
1020108726640
118589940a52
123a92456700
131b86085522
14d8a909212
157ca596360
hex4ae92d170

20108726640 has 120 divisors (see below), whose sum is σ = 67736633328. Its totient is φ = 5346063360.

The previous prime is 20108726633. The next prime is 20108726647. The reversal of 20108726640 is 4662780102.

20108726640 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 8 + 7 + 2 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (20108726633) and next prime (20108726647).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 20108726595 and 20108726604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20108726647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196132 + ... + 280508.

Almost surely, 220108726640 is an apocalyptic number.

20108726640 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 20108726640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868316664).

20108726640 is an abundant number, since it is smaller than the sum of its proper divisors (47627906688).

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

20108726640 is a wasteful number, since it uses less digits than its factorization.

20108726640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84727 (or 84718 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20108726640 in words is "twenty billion, one hundred eight million, seven hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 331 360 662 720 993 1324 1655 1986 2648 2979 3310 3972 4965 5296 5958 6620 7944 9930 11916 13240 14895 15888 19860 23832 26480 29790 39720 47664 59580 79440 84377 119160 168754 238320 253131 337508 421885 506262 675016 759393 843770 1012524 1265655 1350032 1518786 1687540 2025048 2531310 3037572 3375080 3796965 4050096 5062620 6075144 6750160 7593930 10125240 12150288 15187860 20250480 27928787 30375720 55857574 60751440 83786361 111715148 139643935 167572722 223430296 251359083 279287870 335145444 418931805 446860592 502718166 558575740 670290888 837863610 1005436332 1117151480 1256795415 1340581776 1675727220 2010872664 2234302960 2513590830 3351454440 4021745328 5027181660 6702908880 10054363320 20108726640