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6101552028 = 223111322915527
BaseRepresentation
bin1011010111010111…
…00100101110011100
3120202020010221212110
411223223210232130
544443444131103
62445241234020
7304126223265
oct55353445634
916666127773
106101552028
112651192390
121223492910
13763133b20
1441c4c596c
1525a9e7403
hex16bae4b9c

6101552028 has 96 divisors (see below), whose sum is σ = 16800053760. Its totient is φ = 1699165440.

The previous prime is 6101552027. The next prime is 6101552053. The reversal of 6101552028 is 8202551016.

It is a junction number, because it is equal to n+sod(n) for n = 6101551986 and 6101552004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6101552021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385201 + ... + 400727.

It is an arithmetic number, because the mean of its divisors is an integer number (175000560).

Almost surely, 26101552028 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 6101552028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8400026880).

6101552028 is an abundant number, since it is smaller than the sum of its proper divisors (10698501732).

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

6101552028 is a wasteful number, since it uses less digits than its factorization.

6101552028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15787 (or 15785 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 6101552028 is about 78112.4319682853. The cubic root of 6101552028 is about 1827.3150856734.

The spelling of 6101552028 in words is "six billion, one hundred one million, five hundred fifty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 229 286 429 458 572 687 858 916 1374 1716 2519 2748 2977 5038 5954 7557 8931 10076 11908 15114 15527 17862 30228 31054 32747 35724 46581 62108 65494 93162 98241 130988 170797 186324 196482 201851 341594 392964 403702 512391 605553 683188 807404 1024782 1211106 2049564 2220361 2422212 3555683 4440722 6661083 7111366 8881444 10667049 13322166 14222732 21334098 26644332 39112513 42668196 46223879 78225026 92447758 117337539 138671637 156450052 184895516 234675078 277343274 469350156 508462669 554686548 1016925338 1525388007 2033850676 3050776014 6101552028