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21120261552 = 24321317963029
BaseRepresentation
bin10011101010110111…
…011001110110110000
32000111220111110012100
4103222313121312300
5321223241332202
613411424300400
71345244155365
oct235267316660
960456443170
1021120261552
118a58923115
124115171700
131cb7800ab0
141044dba46c
158392a541c
hex4eadd9db0

21120261552 has 120 divisors (see below), whose sum is σ = 64010746800. Its totient is φ = 6462134784.

The previous prime is 21120261527. The next prime is 21120261577. The reversal of 21120261552 is 25516202112.

21120261552 is a `hidden beast` number, since 21 + 1 + 20 + 2 + 615 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (21120261527) and next prime (21120261577).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303574 + ... + 366602.

It is an arithmetic number, because the mean of its divisors is an integer number (533422890).

Almost surely, 221120261552 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 21120261552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32005373400).

21120261552 is an abundant number, since it is smaller than the sum of its proper divisors (42890485248).

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

21120261552 is a wasteful number, since it uses less digits than its factorization.

21120261552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63235 (or 63226 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 21120261552 its reverse (25516202112), we get a palindrome (46636463664).

The spelling of 21120261552 in words is "twenty-one billion, one hundred twenty million, two hundred sixty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 179 208 234 312 358 468 537 624 716 936 1074 1432 1611 1872 2148 2327 2864 3222 4296 4654 6444 6981 8592 9308 12888 13962 18616 20943 25776 27924 37232 41886 55848 63029 83772 111696 126058 167544 189087 252116 335088 378174 504232 567261 756348 819377 1008464 1134522 1512696 1638754 2269044 2458131 3025392 3277508 4538088 4916262 6555016 7374393 9076176 9832524 11282191 13110032 14748786 19665048 22564382 29497572 33846573 39330096 45128764 58995144 67693146 90257528 101539719 117990288 135386292 146668483 180515056 203079438 270772584 293336966 406158876 440005449 541545168 586673932 812317752 880010898 1173347864 1320016347 1624635504 1760021796 2346695728 2640032694 3520043592 5280065388 7040087184 10560130776 21120261552