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9934750320 = 2435113979479
BaseRepresentation
bin10010100000010100…
…00100001001110000
3221122100222121101120
421100022010021300
5130321244002240
64321452102240
7501122661435
oct112012041160
927570877346
109934750320
1142389a8a60
121b13164980
13c24322bb1
146a3619b8c
153d22bead0
hex250284270

9934750320 has 160 divisors (see below), whose sum is σ = 33685701120. Its totient is φ = 2402104320.

The previous prime is 9934750297. The next prime is 9934750337. The reversal of 9934750320 is 230574399.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1043341 + ... + 1052819.

It is an arithmetic number, because the mean of its divisors is an integer number (210535632).

Almost surely, 29934750320 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 9934750320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16842850560).

9934750320 is an abundant number, since it is smaller than the sum of its proper divisors (23750950800).

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

9934750320 is a wasteful number, since it uses less digits than its factorization.

9934750320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9903 (or 9897 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 9934750320 is about 99673.2176665327. The cubic root of 9934750320 is about 2149.7385887328.

The spelling of 9934750320 in words is "nine billion, nine hundred thirty-four million, seven hundred fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 397 440 528 660 794 880 1191 1320 1588 1985 2382 2640 3176 3970 4367 4764 5955 6352 7940 8734 9479 9528 11910 13101 15880 17468 18958 19056 21835 23820 26202 28437 31760 34936 37916 43670 47395 47640 52404 56874 65505 69872 75832 87340 94790 95280 104269 104808 113748 131010 142185 151664 174680 189580 208538 209616 227496 262020 284370 312807 349360 379160 417076 454992 521345 524040 568740 625614 758320 834152 1042690 1048080 1137480 1251228 1564035 1668304 2085380 2274960 2502456 3128070 3763163 4170760 5004912 6256140 7526326 8341520 11289489 12512280 15052652 18815815 22578978 25024560 30105304 37631630 41394793 45157956 56447445 60210608 75263260 82789586 90315912 112894890 124184379 150526520 165579172 180631824 206973965 225789780 248368758 301053040 331158344 413947930 451579560 496737516 620921895 662316688 827895860 903159120 993475032 1241843790 1655791720 1986950064 2483687580 3311583440 4967375160 9934750320