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20350213920 = 2532559239527
BaseRepresentation
bin10010111100111101…
…111001111100100000
31221112020111222102200
4102330331321330200
5313134123321140
613203155413200
71320203651511
oct227475717440
957466458380
1020350213920
1186a318aa13
123b3b2b4200
131bc41072ca
14db0a0aa08
157e1898030
hex4bcf79f20

20350213920 has 144 divisors (see below), whose sum is σ = 70622435520. Its totient is φ = 5334723072.

The previous prime is 20350213879. The next prime is 20350213937. The reversal of 20350213920 is 2931205302.

20350213920 is a `hidden beast` number, since 2 + 0 + 3 + 502 + 139 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34804 + ... + 204723.

It is an arithmetic number, because the mean of its divisors is an integer number (490433580).

Almost surely, 220350213920 is an apocalyptic number.

20350213920 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 20350213920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35311217760).

20350213920 is an abundant number, since it is smaller than the sum of its proper divisors (50272221600).

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

20350213920 is a wasteful number, since it uses less digits than its factorization.

20350213920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239607 (or 239596 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

It can be divided in two parts, 20350 and 213920, that added together give a triangular number (234270 = T684).

The spelling of 20350213920 in words is "twenty billion, three hundred fifty million, two hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 59 60 72 80 90 96 118 120 144 160 177 180 236 240 288 295 354 360 472 480 531 590 708 720 885 944 1062 1180 1416 1440 1770 1888 2124 2360 2655 2832 3540 4248 4720 5310 5664 7080 8496 9440 10620 14160 16992 21240 28320 42480 84960 239527 479054 718581 958108 1197635 1437162 1916216 2155743 2395270 2874324 3592905 3832432 4311486 4790540 5748648 7185810 7664864 8622972 9581080 10778715 11497296 14132093 14371620 17245944 19162160 21557430 22994592 28264186 28743240 34491888 38324320 42396279 43114860 56528372 57486480 68983776 70660465 84792558 86229720 113056744 114972960 127188837 141320930 169585116 172459440 211981395 226113488 254377674 282641860 339170232 344918880 423962790 452226976 508755348 565283720 635944185 678340464 847925580 1017510696 1130567440 1271888370 1356680928 1695851160 2035021392 2261134880 2543776740 3391702320 4070042784 5087553480 6783404640 10175106960 20350213920