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2013526632 = 2331331409509
BaseRepresentation
bin111100000000011…
…1111101001101000
312012022210202021110
41320000333221220
513110430323012
6531444510320
7100616460015
oct17000775150
95168722243
102013526632
119436463a7
124823ab3a0
132612021a0
141515ba70c
15bbb8573c
hex7803fa68

2013526632 has 128 divisors (see below), whose sum is σ = 5620608000. Its totient is φ = 596920320.

The previous prime is 2013526591. The next prime is 2013526667. The reversal of 2013526632 is 2366253102.

It is a self number, because there is not a number n which added to its sum of digits gives 2013526632.

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, 3955594 + ... + 3956102.

It is an arithmetic number, because the mean of its divisors is an integer number (43911000).

Almost surely, 22013526632 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 2013526632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810304000).

2013526632 is an abundant number, since it is smaller than the sum of its proper divisors (3607081368).

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

2013526632 is a wasteful number, since it uses less digits than its factorization.

2013526632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 2013526632 is about 44872.3370463362. The cubic root of 2013526632 is about 1262.7550850386.

Adding to 2013526632 its reverse (2366253102), we get a palindrome (4379779734).

The spelling of 2013526632 in words is "two billion, thirteen million, five hundred twenty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 409 509 744 806 818 1018 1209 1227 1527 1612 1636 2036 2418 2454 3054 3224 3272 4072 4836 4908 5317 6108 6617 9672 9816 10634 12216 12679 13234 15779 15951 19851 21268 25358 26468 31558 31902 38037 39702 42536 47337 50716 52936 63116 63804 76074 79404 94674 101432 126232 127608 152148 158808 164827 189348 205127 208181 304296 329654 378696 410254 416362 494481 615381 624543 659308 820508 832724 988962 1230762 1249086 1318616 1641016 1665448 1977924 2461524 2498172 2706353 3955848 4923048 4996344 5412706 6453611 8119059 10825412 12907222 16238118 19360833 21650824 25814444 32476236 38721666 51628888 64952472 77443332 83896943 154886664 167793886 251690829 335587772 503381658 671175544 1006763316 2013526632