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21245255595392 = 271759487339799
BaseRepresentation
bin1001101010010100010111…
…11010011011010110000000
32210020000201101120001122212
410311022023322123112000
510241040240413023032
6113103534035121252
74321630144651163
oct465121372332600
983200641501585
1021245255595392
116851075a14834
122471581143228
13bb155a73104a
145363c0d49ada
1526c987b4bbb2
hex13528be9b580

21245255595392 has 128 divisors (see below), whose sum is σ = 45667488960000. Its totient is φ = 9808103448576.

The previous prime is 21245255595379. The next prime is 21245255595419. The reversal of 21245255595392 is 29359555254212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62353109 + ... + 62692907.

It is an arithmetic number, because the mean of its divisors is an integer number (356777257500).

Almost surely, 221245255595392 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 21245255595392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22833744480000).

21245255595392 is an abundant number, since it is smaller than the sum of its proper divisors (24422233364608).

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

21245255595392 is a wasteful number, since it uses less digits than its factorization.

21245255595392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340376 (or 340364 counting only the distinct ones).

The product of its digits is 48600000, while the sum is 59.

The spelling of 21245255595392 in words is "twenty-one trillion, two hundred forty-five billion, two hundred fifty-five million, five hundred ninety-five thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 59 64 68 118 128 136 236 272 472 487 544 944 974 1003 1088 1888 1948 2006 2176 3776 3896 4012 7552 7792 8024 8279 15584 16048 16558 28733 31168 32096 33116 57466 62336 64192 66232 114932 128384 132464 229864 264928 339799 459728 488461 529856 679598 919456 976922 1059712 1359196 1838912 1953844 2718392 3677824 3907688 5436784 5776583 7815376 10873568 11553166 15630752 20048141 21747136 23106332 31261504 40096282 43494272 46212664 62523008 80192564 92425328 160385128 165482113 184850656 320770256 330964226 340818397 369701312 641540512 661928452 681636794 739402624 1283081024 1323856904 1363273588 2566162048 2647713808 2726547176 2813195921 5295427616 5453094352 5626391842 9763444667 10590855232 10906188704 11252783684 19526889334 21181710464 21812377408 22505567368 39053778668 43624754816 45011134736 78107557336 90022269472 156215114672 165978559339 180044538944 312430229344 331957118678 360089077888 624860458688 663914237356 1249720917376 1327828474712 2655656949424 5311313898848 10622627797696 21245255595392