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21405073420 = 22529971013767
BaseRepresentation
bin10011111011110101…
…111000000000001100
32001020202102101122001
4103323311320000030
5322314144322140
613500001002044
71355303056603
oct237365700014
961222371561
1021405073420
119094673525
124194623324
132031811723
141070b58a3a
158542b3e9a
hex4fbd7800c

21405073420 has 96 divisors (see below), whose sum is σ = 47457809280. Its totient is φ = 8098406400.

The previous prime is 21405073399. The next prime is 21405073429. The reversal of 21405073420 is 2437050412.

It is not an unprimeable number, because it can be changed into a prime (21405073429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5680377 + ... + 5684143.

It is an arithmetic number, because the mean of its divisors is an integer number (494352180).

Almost surely, 221405073420 is an apocalyptic number.

21405073420 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 21405073420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23728904640).

21405073420 is an abundant number, since it is smaller than the sum of its proper divisors (26052735860).

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

21405073420 is a wasteful number, since it uses less digits than its factorization.

21405073420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 21405073420 in words is "twenty-one billion, four hundred five million, seventy-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 97 101 116 145 194 202 290 388 404 485 505 580 970 1010 1940 2020 2813 2929 3767 5626 5858 7534 9797 11252 11716 14065 14645 15068 18835 19594 28130 29290 37670 39188 48985 56260 58580 75340 97970 109243 195940 218486 284113 365399 380467 436972 546215 568226 730798 760934 1092430 1136452 1420565 1461596 1521868 1826995 1902335 2184860 2841130 3653990 3804670 5682260 7307980 7609340 10596571 11033543 21193142 22067086 36905299 42386284 44134172 52982855 55167715 73810598 105965710 110335430 147621196 184526495 211931420 220670860 369052990 738105980 1070253671 2140507342 4281014684 5351268355 10702536710 21405073420