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11638614728 = 2313891578009
BaseRepresentation
bin10101101011011011…
…10010101011001000
31010001010002212221202
422311231302223020
5142313441132403
65202515523332
7561262410236
oct126555625310
933033085852
1011638614728
114a32770564
1223098b9548
1311363233a0
147c5a29956
15481b88688
hex2b5b72ac8

11638614728 has 64 divisors (see below), whose sum is σ = 23919462000. Its totient is φ = 5276823552.

The previous prime is 11638614683. The next prime is 11638614731. The reversal of 11638614728 is 82741683611.

It can be written as a sum of positive squares in 8 ways, for example, as 1698923524 + 9939691204 = 41218^2 + 99698^2 .

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, 1449188 + ... + 1457196.

Almost surely, 211638614728 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 11638614728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11959731000).

11638614728 is an abundant number, since it is smaller than the sum of its proper divisors (12280847272).

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

11638614728 is a wasteful number, since it uses less digits than its factorization.

11638614728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8274 (or 8270 counting only the distinct ones).

The product of its digits is 387072, while the sum is 47.

The spelling of 11638614728 in words is "eleven billion, six hundred thirty-eight million, six hundred fourteen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 89 104 157 178 314 356 628 712 1157 1256 2041 2314 4082 4628 8009 8164 9256 13973 16018 16328 27946 32036 55892 64072 104117 111784 181649 208234 363298 416468 712801 726596 832936 1257413 1425602 1453192 2514826 2851204 5029652 5702408 9266413 10059304 16346369 18532826 32692738 37065652 65385476 74131304 111909757 130770952 223819514 447639028 895278056 1454826841 2909653682 5819307364 11638614728