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20804375520 = 2532586316741
BaseRepresentation
bin10011011000000010…
…011001001111100000
31222200220002210000200
4103120002121033200
5320101410004040
613320221545200
71334360163015
oct233002311740
958626083020
1020804375520
118906589285
124047415200
131c67230296
14101506d70c
1581b6a9630
hex4d80993e0

20804375520 has 144 divisors (see below), whose sum is σ = 71081442432. Its totient is φ = 5541073920.

The previous prime is 20804375507. The next prime is 20804375521. The reversal of 20804375520 is 2557340802.

20804375520 is a `hidden beast` number, since 20 + 8 + 0 + 43 + 75 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20804375521) 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, 1234350 + ... + 1251090.

It is an arithmetic number, because the mean of its divisors is an integer number (493621128).

Almost surely, 220804375520 is an apocalyptic number.

20804375520 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 20804375520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35540721216).

20804375520 is an abundant number, since it is smaller than the sum of its proper divisors (50277066912).

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

20804375520 is a wasteful number, since it uses less digits than its factorization.

20804375520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17625 (or 17614 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 20804375520 in words is "twenty billion, eight hundred four million, three hundred seventy-five 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 72 80 90 96 120 144 160 180 240 288 360 480 720 863 1440 1726 2589 3452 4315 5178 6904 7767 8630 10356 12945 13808 15534 16741 17260 20712 25890 27616 31068 33482 34520 38835 41424 50223 51780 62136 66964 69040 77670 82848 83705 100446 103560 124272 133928 138080 150669 155340 167410 200892 207120 248544 251115 267856 301338 310680 334820 401784 414240 502230 535712 602676 621360 669640 753345 803568 1004460 1205352 1242720 1339280 1506690 1607136 2008920 2410704 2678560 3013380 4017840 4821408 6026760 8035680 12053520 14447483 24107040 28894966 43342449 57789932 72237415 86684898 115579864 130027347 144474830 173369796 216712245 231159728 260054694 288949660 346739592 433424490 462319456 520109388 577899320 650136735 693479184 866848980 1040218776 1155798640 1300273470 1386958368 1733697960 2080437552 2311597280 2600546940 3467395920 4160875104 5201093880 6934791840 10402187760 20804375520