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21245311746460 = 22517109617392867
BaseRepresentation
bin1001101010010100011110…
…10000101000000110011100
32210020000212022012211110001
410311022033100220012130
510241040344301341320
6113103543402424044
74321631426145004
oct465121720500634
983200768184401
1021245311746460
1168510a468697a
122471597b02024
13bb1569261129
145363c85a5004
1526c98ca3e20a
hex13528f42819c

21245311746460 has 96 divisors (see below), whose sum is σ = 47681202381120. Its totient is φ = 7923487592448.

The previous prime is 21245311746433. The next prime is 21245311746469. The reversal of 21245311746460 is 6464711354212.

It is a self number, because there is not a number n which added to its sum of digits gives 21245311746460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21245311746469) by changing a digit.

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, 228724947 + ... + 228817813.

It is an arithmetic number, because the mean of its divisors is an integer number (496679191470).

Almost surely, 221245311746460 is an apocalyptic number.

21245311746460 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 21245311746460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23840601190560).

21245311746460 is an abundant number, since it is smaller than the sum of its proper divisors (26435890634660).

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

21245311746460 is a wasteful number, since it uses less digits than its factorization.

21245311746460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99175 (or 99173 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 21245311746460 in words is "twenty-one trillion, two hundred forty-five billion, three hundred eleven million, seven hundred forty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 109 170 218 340 436 545 1090 1853 2180 3706 6173 7412 9265 12346 18530 24692 30865 37060 61730 92867 104941 123460 185734 209882 371468 419764 464335 524705 672857 928670 1049410 1345714 1578739 1857340 2098820 2691428 3157478 3364285 6314956 6728570 7893695 10122503 11438569 13457140 15787390 20245006 22877138 31574780 40490012 45754276 50612515 57192845 101225030 114385690 172082551 202450060 228771380 344165102 573267991 688330204 860412755 1146535982 1720825510 2293071964 2866339955 3441651020 5732679910 9745555847 11465359820 19491111694 38982223388 48727779235 62486211019 97455558470 124972422038 194911116940 249944844076 312431055095 624862110190 1062265587323 1249724220380 2124531174646 4249062349292 5311327936615 10622655873230 21245311746460