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9750260130 = 23513612331759
BaseRepresentation
bin10010001010010100…
…10010100110100010
3221011111211112102120
421011022102212202
5124432031311010
64251301525110
7463422562242
oct110512224642
927144745376
109750260130
114153849826
121a81413796
13bc50392c0
14686d13b22
153c0ecae70
hex2452929a2

9750260130 has 128 divisors (see below), whose sum is σ = 25738352640. Its totient is φ = 2349250560.

The previous prime is 9750260101. The next prime is 9750260131. The reversal of 9750260130 is 310620579.

It is a junction number, because it is equal to n+sod(n) for n = 9750260091 and 9750260100.

It is not an unprimeable number, because it can be changed into a prime (9750260131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5542191 + ... + 5543949.

It is an arithmetic number, because the mean of its divisors is an integer number (201080880).

Almost surely, 29750260130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9750260130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869176320).

9750260130 is an abundant number, since it is smaller than the sum of its proper divisors (15988092510).

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

9750260130 is a wasteful number, since it uses less digits than its factorization.

9750260130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 9750260130 is about 98743.4055013296. The cubic root of 9750260130 is about 2136.3483397689.

The spelling of 9750260130 in words is "nine billion, seven hundred fifty million, two hundred sixty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 61 65 78 122 130 183 195 233 305 366 390 466 610 699 793 915 1165 1398 1586 1759 1830 2330 2379 3029 3495 3518 3965 4758 5277 6058 6990 7930 8795 9087 10554 11895 14213 15145 17590 18174 22867 23790 26385 28426 30290 42639 45435 45734 52770 68601 71065 85278 90870 107299 114335 137202 142130 184769 213195 214598 228670 321897 343005 369538 409847 426390 536495 554307 643794 686010 819694 923845 1072990 1108614 1229541 1394887 1609485 1847690 2049235 2459082 2771535 2789774 3218970 4098470 4184661 5328011 5543070 6147705 6974435 8369322 10656022 12295410 13948870 15984033 20923305 25000667 26640055 31968066 41846610 50001334 53280110 75002001 79920165 125003335 150004002 159840330 250006670 325008671 375010005 650017342 750020010 975026013 1625043355 1950052026 3250086710 4875130065 9750260130