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10613355420 = 2235597394057
BaseRepresentation
bin10011110001001101…
…01111001110011100
31000101122220022120210
421320212233032130
5133214004333140
64513053012420
7524003014113
oct117046571634
930348808523
1010613355420
114556a65018
122082484110
131001ab0c85
147297c4c7a
15421b67d80
hex2789af39c

10613355420 has 96 divisors (see below), whose sum is σ = 30269433600. Its totient is φ = 2777808384.

The previous prime is 10613355373. The next prime is 10613355433. The reversal of 10613355420 is 2455331601.

It is a super-2 number, since 2×106133554202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 2614032 + ... + 2618088.

It is an arithmetic number, because the mean of its divisors is an integer number (315306600).

Almost surely, 210613355420 is an apocalyptic number.

10613355420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10613355420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15134716800).

10613355420 is an abundant number, since it is smaller than the sum of its proper divisors (19656078180).

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

10613355420 is a wasteful number, since it uses less digits than its factorization.

10613355420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4867 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 10613355420 in words is "ten billion, six hundred thirteen million, three hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 739 885 1180 1478 1770 2217 2956 3540 3695 4057 4434 7390 8114 8868 11085 12171 14780 16228 20285 22170 24342 40570 43601 44340 48684 60855 81140 87202 121710 130803 174404 218005 239363 243420 261606 436010 478726 523212 654015 718089 872020 957452 1196815 1308030 1436178 2393630 2616060 2872356 2998123 3590445 4787260 5996246 7180890 8994369 11992492 14361780 14990615 17988738 29981230 35977476 44971845 59962460 89943690 176889257 179887380 353778514 530667771 707557028 884446285 1061335542 1768892570 2122671084 2653338855 3537785140 5306677710 10613355420