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20310858720 = 2532542133503
BaseRepresentation
bin10010111010100111…
…110001101111100000
31221102111110112020200
4102322213301233200
5313044034434340
613155232105200
71316215310355
oct227247615740
957374415220
1020310858720
118682a4a859
123b2a095200
131bb8c080c9
14da96c462c
157dd1c2330
hex4ba9f1be0

20310858720 has 144 divisors (see below), whose sum is σ = 69477512832. Its totient is φ = 5403202560.

The previous prime is 20310858707. The next prime is 20310858751. The reversal of 20310858720 is 2785801302.

20310858720 is a `hidden beast` number, since 20 + 31 + 0 + 8 + 587 + 20 = 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589489 + ... + 622991.

It is an arithmetic number, because the mean of its divisors is an integer number (482482728).

Almost surely, 220310858720 is an apocalyptic number.

20310858720 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 20310858720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34738756416).

20310858720 is an abundant number, since it is smaller than the sum of its proper divisors (49166654112).

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

20310858720 is a wasteful number, since it uses less digits than its factorization.

20310858720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33945 (or 33934 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 20310858720 in words is "twenty billion, three hundred ten million, eight hundred fifty-eight thousand, seven 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 96 120 144 160 180 240 288 360 421 480 720 842 1263 1440 1684 2105 2526 3368 3789 4210 5052 6315 6736 7578 8420 10104 12630 13472 15156 16840 18945 20208 25260 30312 33503 33680 37890 40416 50520 60624 67006 67360 75780 100509 101040 121248 134012 151560 167515 201018 202080 268024 301527 303120 335030 402036 502545 536048 603054 606240 670060 804072 1005090 1072096 1206108 1340120 1507635 1608144 2010180 2412216 2680240 3015270 3216288 4020360 4824432 5360480 6030540 8040720 9648864 12061080 14104763 16081440 24122160 28209526 42314289 48244320 56419052 70523815 84628578 112838104 126942867 141047630 169257156 211571445 225676208 253885734 282095260 338514312 423142890 451352416 507771468 564190520 634714335 677028624 846285780 1015542936 1128381040 1269428670 1354057248 1692571560 2031085872 2256762080 2538857340 3385143120 4062171744 5077714680 6770286240 10155429360 20310858720