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21811420928 = 281118142793
BaseRepresentation
bin10100010100000011…
…111101111100000000
32002022002000222121202
4110110003331330000
5324132210432203
614004154240332
71401336006323
oct242403757400
962262028552
1021811420928
119282a84410
1242887260a8
132097a6623b
1410acad27ba
15879ccd388
hex5140fdf00

21811420928 has 72 divisors (see below), whose sum is σ = 47759131056. Its totient is φ = 9859276800.

The previous prime is 21811420907. The next prime is 21811420949. The reversal of 21811420928 is 82902411812.

It is an interprime number because it is at equal distance from previous prime (21811420907) and next prime (21811420949).

It is a junction number, because it is equal to n+sod(n) for n = 21811420891 and 21811420900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 488300 + ... + 531092.

Almost surely, 221811420928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21811420928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23879565528).

21811420928 is an abundant number, since it is smaller than the sum of its proper divisors (25947710128).

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

21811420928 is a wasteful number, since it uses less digits than its factorization.

21811420928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43001 (or 42987 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The spelling of 21811420928 in words is "twenty-one billion, eight hundred eleven million, four hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 181 256 352 362 704 724 1408 1448 1991 2816 2896 3982 5792 7964 11584 15928 23168 31856 42793 46336 63712 85586 127424 171172 254848 342344 470723 509696 684688 941446 1369376 1882892 2738752 3765784 5477504 7531568 7745533 10955008 15063136 15491066 30126272 30982132 60252544 61964264 85200863 120505088 123928528 170401726 247857056 340803452 495714112 681606904 991428224 1363213808 1982856448 2726427616 5452855232 10905710464 21811420928