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21947840500 = 2253196433593
BaseRepresentation
bin10100011100001100…
…010111011111110100
32002122120201211002111
4110130030113133310
5324422121344000
614025510220404
71404613365115
oct243414273764
962576654074
1021947840500
119342a90463
124306354704
1320ba0bb991
1410c2c8420c
15886c78cba
hex51c3177f4

21947840500 has 96 divisors (see below), whose sum is σ = 50549466240. Its totient is φ = 8301830400.

The previous prime is 21947840489. The next prime is 21947840513. The reversal of 21947840500 is 504874912.

It is a super-2 number, since 2×219478405002 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 6106704 + ... + 6110296.

It is an arithmetic number, because the mean of its divisors is an integer number (526556940).

Almost surely, 221947840500 is an apocalyptic number.

21947840500 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 21947840500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25274733120).

21947840500 is an abundant number, since it is smaller than the sum of its proper divisors (28601625740).

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

21947840500 is a wasteful number, since it uses less digits than its factorization.

21947840500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 21947840500 in words is "twenty-one billion, nine hundred forty-seven million, eight hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 380 475 500 643 950 1286 1900 2375 2572 3215 3593 4750 6430 7186 9500 12217 12860 14372 16075 17965 24434 32150 35930 48868 61085 64300 68267 71860 80375 89825 122170 136534 160750 179650 244340 273068 305425 321500 341335 359300 449125 610850 682670 898250 1221700 1365340 1527125 1706675 1796500 2310299 3054250 3413350 4620598 6108500 6826700 8533375 9241196 11551495 17066750 23102990 34133500 43895681 46205980 57757475 87791362 115514950 175582724 219478405 231029900 288787375 438956810 577574750 877913620 1097392025 1155149500 2194784050 4389568100 5486960125 10973920250 21947840500