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21073917920 = 2551116373459
BaseRepresentation
bin10011101000000110…
…100111011111100000
32000101200021221200112
4103220012213133200
5321124410333140
613403051110452
71344142226636
oct235006473740
960350257615
1021073917920
118a3474a4a0
124101742428
131cab025a23
14103cb95356
1583519dc65
hex4e81a77e0

21073917920 has 96 divisors (see below), whose sum is σ = 54647187840. Its totient is φ = 7616125440.

The previous prime is 21073917919. The next prime is 21073917947. The reversal of 21073917920 is 2971937012.

It is a super-2 number, since 2×210739179202 (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250151 + ... + 323609.

It is an arithmetic number, because the mean of its divisors is an integer number (569241540).

Almost surely, 221073917920 is an apocalyptic number.

21073917920 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 21073917920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27323593920).

21073917920 is an abundant number, since it is smaller than the sum of its proper divisors (33573269920).

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

21073917920 is a wasteful number, since it uses less digits than its factorization.

21073917920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73648 (or 73640 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 41.

The spelling of 21073917920 in words is "twenty-one billion, seventy-three million, nine hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 163 176 220 326 352 440 652 815 880 1304 1630 1760 1793 2608 3260 3586 5216 6520 7172 8965 13040 14344 17930 26080 28688 35860 57376 71720 73459 143440 146918 286880 293836 367295 587672 734590 808049 1175344 1469180 1616098 2350688 2938360 3232196 4040245 5876720 6464392 8080490 11753440 11973817 12928784 16160980 23947634 25857568 32321960 47895268 59869085 64643920 95790536 119738170 129287840 131711987 191581072 239476340 263423974 383162144 478952680 526847948 658559935 957905360 1053695896 1317119870 1915810720 2107391792 2634239740 4214783584 5268479480 10536958960 21073917920