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21146534244 = 22341129204599
BaseRepresentation
bin10011101100011011…
…101000000101100100
32000120201221020120000
4103230123220011210
5321302003043434
613414203341300
71346013401223
oct235433500544
960521836500
1021146534244
118a71738190
124121b21830
131cc009c374
141048698cba
1583b744b99
hex4ec6e8164

21146534244 has 120 divisors (see below), whose sum is σ = 62386632000. Its totient is φ = 6187043520.

The previous prime is 21146534237. The next prime is 21146534251. The reversal of 21146534244 is 44243564112.

21146534244 is a `hidden beast` number, since 2 + 114 + 6 + 534 + 2 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (21146534237) and next prime (21146534251).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21146534199 and 21146534208.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1057 + ... + 205655.

It is an arithmetic number, because the mean of its divisors is an integer number (519888600).

Almost surely, 221146534244 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 21146534244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31193316000).

21146534244 is an abundant number, since it is smaller than the sum of its proper divisors (41240097756).

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

21146534244 is a wasteful number, since it uses less digits than its factorization.

21146534244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204655 (or 204644 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 21146534244 in words is "twenty-one billion, one hundred forty-six million, five hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 81 87 99 108 116 132 162 174 198 261 297 319 324 348 396 522 594 638 783 891 957 1044 1188 1276 1566 1782 1914 2349 2871 3132 3564 3828 4698 5742 8613 9396 11484 17226 25839 34452 51678 103356 204599 409198 613797 818396 1227594 1841391 2250589 2455188 3682782 4501178 5524173 5933371 6751767 7365564 9002356 11048346 11866742 13503534 16572519 17800113 20255301 22096692 23733484 27007068 33145038 35600226 40510602 53400339 60765903 65267081 66290076 71200452 81021204 106800678 121531806 130534162 160201017 182297709 195801243 213601356 243063612 261068324 320402034 364595418 391602486 480603051 587403729 640804068 729190836 783204972 961206102 1174807458 1762211187 1922412204 2349614916 3524422374 5286633561 7048844748 10573267122 21146534244