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103042606544 = 2423237893697
BaseRepresentation
bin101111111110111010…
…0010110010111010000
3100211222012211202202222
41133331310112113100
53142012401402134
6115200452400212
710305330463343
oct1377564262720
9324865752688
10103042606544
113a777957469
1217b78916068
139941c91047
144db719845a
152a313e7a2e
hex17fdd165d0

103042606544 has 120 divisors (see below), whose sum is σ = 216810263880. Its totient is φ = 47397740544.

The previous prime is 103042606523. The next prime is 103042606559. The reversal of 103042606544 is 445606240301.

It can be written as a sum of positive squares in 4 ways, for example, as 4622368144 + 98420238400 = 67988^2 + 313720^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27870104 + ... + 27873800.

It is an arithmetic number, because the mean of its divisors is an integer number (1806752199).

Almost surely, 2103042606544 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 103042606544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108405131940).

103042606544 is an abundant number, since it is smaller than the sum of its proper divisors (113767657336).

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

103042606544 is a wasteful number, since it uses less digits than its factorization.

103042606544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 103042606544 its reverse (445606240301), we get a palindrome (548648846845).

The spelling of 103042606544 in words is "one hundred three billion, forty-two million, six hundred six thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 23 37 46 74 89 92 148 178 184 296 356 368 529 592 712 851 1058 1424 1702 2047 2116 3293 3404 3697 4094 4232 6586 6808 7394 8188 8464 13172 13616 14788 16376 19573 26344 29576 32752 39146 47081 52688 59152 75739 78292 85031 94162 136789 151478 156584 170062 188324 273578 302956 313168 329033 340124 376648 547156 605912 658066 680248 753296 1094312 1211824 1316132 1360496 1741997 1955713 2188624 2632264 3146147 3483994 3911426 5264528 6292294 6967988 7567759 7822852 12174221 12584588 13935976 15135518 15645704 24348442 25169176 27871952 30271036 31291408 48696884 50338352 60542072 72361381 97393768 121084144 144722762 174058457 194787536 280007083 289445524 348116914 560014166 578891048 696233828 1120028332 1157782096 1392467656 2240056664 2784935312 4480113328 6440162909 12880325818 25760651636 51521303272 103042606544