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21354444320 = 2551122354409
BaseRepresentation
bin10011111000110100…
…101111011000100000
32001010020011011120012
4103320310233120200
5322213214204240
613450551504052
71354116532106
oct237064573040
961106134505
1021354444320
1190690330a0
12417b688028
132024195b91
141068139c76
1584eb12b65
hex4f8d2f620

21354444320 has 96 divisors (see below), whose sum is σ = 55284042240. Its totient is φ = 7730288640.

The previous prime is 21354444317. The next prime is 21354444341. The reversal of 21354444320 is 2344445312.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 365276 + ... + 419684.

It is an arithmetic number, because the mean of its divisors is an integer number (575875440).

Almost surely, 221354444320 is an apocalyptic number.

21354444320 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 21354444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27642021120).

21354444320 is an abundant number, since it is smaller than the sum of its proper divisors (33929597920).

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

21354444320 is a wasteful number, since it uses less digits than its factorization.

21354444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54658 (or 54650 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 21354444320 its reverse (2344445312), we get a palindrome (23698889632).

The spelling of 21354444320 in words is "twenty-one billion, three hundred fifty-four million, four hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 223 352 440 446 880 892 1115 1760 1784 2230 2453 3568 4460 4906 7136 8920 9812 12265 17840 19624 24530 35680 39248 49060 54409 78496 98120 108818 196240 217636 272045 392480 435272 544090 598499 870544 1088180 1196998 1741088 2176360 2393996 2992495 4352720 4787992 5984990 8705440 9575984 11969980 12133207 19151968 23939960 24266414 47879920 48532828 60666035 95759840 97065656 121332070 133465277 194131312 242664140 266930554 388262624 485328280 533861108 667326385 970656560 1067722216 1334652770 1941313120 2135444432 2669305540 4270888864 5338611080 10677222160 21354444320