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21011025152 = 2813171013677
BaseRepresentation
bin10011100100010110…
…101100110100000000
32000020021221200000202
4103210112230310000
5321012310301102
613352523104332
71342446524045
oct234426546400
960207850022
1021011025152
118a021a31a7
1240a46720a8
131c9aca5180
1410346a31cc
1582e8c8e02
hex4e45acd00

21011025152 has 144 divisors (see below), whose sum is σ = 48309588432. Its totient is φ = 9034137600.

The previous prime is 21011025137. The next prime is 21011025187. The reversal of 21011025152 is 25152011012.

It can be written as a sum of positive squares in 8 ways, for example, as 3264522496 + 17746502656 = 57136^2 + 133216^2 .

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, 5712338 + ... + 5716014.

It is an arithmetic number, because the mean of its divisors is an integer number (335483253).

Almost surely, 221011025152 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 21011025152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24154794216).

21011025152 is an abundant number, since it is smaller than the sum of its proper divisors (27298563280).

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

21011025152 is a wasteful number, since it uses less digits than its factorization.

21011025152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 21011025152 its reverse (25152011012), we get a palindrome (46163036164).

The spelling of 21011025152 in words is "twenty-one billion, eleven million, twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 101 104 128 136 202 208 221 256 272 404 416 442 544 808 832 884 1088 1313 1616 1664 1717 1768 2176 2626 3232 3328 3434 3536 3677 4352 5252 6464 6868 7072 7354 10504 12928 13736 14144 14708 21008 22321 25856 27472 28288 29416 42016 44642 47801 54944 56576 58832 62509 84032 89284 95602 109888 117664 125018 168064 178568 191204 219776 235328 250036 336128 357136 371377 382408 439552 470656 500072 714272 742754 764816 812617 941312 1000144 1428544 1485508 1529632 1625234 2000288 2857088 2971016 3059264 3250468 4000576 4827901 5714176 5942032 6118528 6313409 6500936 8001152 9655802 11884064 12237056 12626818 13001872 16002304 19311604 23768128 25253636 26003744 38623208 47536256 50507272 52007488 77246416 82074317 95072512 101014544 104014976 154492832 164148634 202029088 208029952 308985664 328297268 404058176 617971328 656594536 808116352 1235942656 1313189072 1616232704 2626378144 5252756288 10505512576 21011025152