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21178422384 = 2437177946933
BaseRepresentation
bin10011101110010101…
…010001010001110000
32000122221221022212020
4103232111101101300
5321333134004014
613421303031440
71346551422450
oct235625212160
960587838766
1021178422384
118a88738219
12413073b580
131cc68858a2
14104c9d9d60
1583e4431a9
hex4ee551470

21178422384 has 160 divisors (see below), whose sum is σ = 67044280320. Its totient is φ = 5622829056.

The previous prime is 21178422373. The next prime is 21178422437. The reversal of 21178422384 is 48322487112.

It is a super-2 number, since 2×211784223842 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427782 + ... + 474714.

It is an arithmetic number, because the mean of its divisors is an integer number (419026752).

Almost surely, 221178422384 is an apocalyptic number.

21178422384 is a gapful number since it is divisible by the number (24) 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 21178422384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33522140160).

21178422384 is an abundant number, since it is smaller than the sum of its proper divisors (45865857936).

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

21178422384 is a wasteful number, since it uses less digits than its factorization.

21178422384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47047 (or 47041 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The spelling of 21178422384 in words is "twenty-one billion, one hundred seventy-eight million, four hundred twenty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 79 84 102 112 119 136 158 168 204 237 238 272 316 336 357 408 474 476 553 632 714 816 948 952 1106 1264 1343 1428 1659 1896 1904 2212 2686 2856 3318 3792 4029 4424 5372 5712 6636 8058 8848 9401 10744 13272 16116 18802 21488 26544 28203 32232 37604 46933 56406 64464 75208 93866 112812 140799 150416 187732 225624 281598 328531 375464 451248 563196 657062 750928 797861 985593 1126392 1314124 1595722 1971186 2252784 2393583 2628248 3191444 3707707 3942372 4787166 5256496 5585027 6382888 7415414 7884744 9574332 11123121 11170054 12765776 14830828 15769488 16755081 19148664 22246242 22340108 25953949 29661656 33510162 38297328 44492484 44680216 51907898 59323312 63031019 67020324 77861847 88984968 89360432 103815796 126062038 134040648 155723694 177969936 189093057 207631592 252124076 268081296 311447388 378186114 415263184 441217133 504248152 622894776 756372228 882434266 1008496304 1245789552 1323651399 1512744456 1764868532 2647302798 3025488912 3529737064 5294605596 7059474128 10589211192 21178422384