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20291383900 = 2252538594457
BaseRepresentation
bin10010111001011101…
…011111001001011100
31221101010211002211001
4102321131133021130
5313024043241100
613153254440044
71315560626434
oct227135371134
957333732731
1020291383900
118672a59067
123b23663024
131bb4b79a48
14da6c952c4
157db626d6a
hex4b975f25c

20291383900 has 72 divisors (see below), whose sum is σ = 44925405840. Its totient is φ = 7952355840.

The previous prime is 20291383883. The next prime is 20291383921. The reversal of 20291383900 is 938319202.

It is a self number, because there is not a number n which added to its sum of digits gives 20291383900.

It is a congruent number.

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, 4550472 + ... + 4554928.

It is an arithmetic number, because the mean of its divisors is an integer number (623963970).

Almost surely, 220291383900 is an apocalyptic number.

20291383900 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 20291383900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22462702920).

20291383900 is an abundant number, since it is smaller than the sum of its proper divisors (24634021940).

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

20291383900 is a wasteful number, since it uses less digits than its factorization.

20291383900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5383 (or 5376 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 20291383900 in words is "twenty billion, two hundred ninety-one million, three hundred eighty-three thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 859 1060 1325 1718 2650 3436 4295 4457 5300 8590 8914 17180 17828 21475 22285 42950 44570 45527 85900 89140 91054 111425 182108 222850 227635 236221 445700 455270 472442 910540 944884 1138175 1181105 2276350 2362210 3828563 4552700 4724420 5905525 7657126 11811050 15314252 19142815 23622100 38285630 76571260 95714075 191428150 202913839 382856300 405827678 811655356 1014569195 2029138390 4058276780 5072845975 10145691950 20291383900