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96642503760 = 24351140499041
BaseRepresentation
bin101101000000001010…
…1111001010001010000
3100020110011220212021010
41122000111321101100
53040410440110020
6112221424130520
76660614504505
oct1320025712120
9306404825233
1096642503760
1137a931a0520
1216891466a40
139162048c8a
14496b1994ac
1527a95cade0
hex1680579450

96642503760 has 160 divisors (see below), whose sum is σ = 326944252800. Its totient is φ = 23420108800.

The previous prime is 96642503723. The next prime is 96642503777. The reversal of 96642503760 is 6730524669.

It is a super-2 number, since 2×966425037602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 10684840 + ... + 10693880.

It is an arithmetic number, because the mean of its divisors is an integer number (2043401580).

Almost surely, 296642503760 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 96642503760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163472126400).

96642503760 is an abundant number, since it is smaller than the sum of its proper divisors (230301749040).

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

96642503760 is a wasteful number, since it uses less digits than its factorization.

96642503760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13117 (or 13111 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 96642503760 in words is "ninety-six billion, six hundred forty-two million, five hundred three thousand, seven hundred sixty".

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 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4049 8098 9041 12147 16196 18082 20245 24294 27123 32392 36164 40490 44539 45205 48588 54246 60735 64784 72328 80980 89078 90410 97176 99451 108492 121470 133617 135615 144656 161960 178156 180820 194352 198902 216984 222695 242940 267234 271230 298353 323920 356312 361640 397804 433968 445390 485880 497255 534468 542460 596706 668085 712624 723280 795608 890780 971760 994510 1068936 1084920 1193412 1336170 1491765 1591216 1781560 1989020 2137872 2169840 2386824 2672340 2983530 3563120 3978040 4773648 5344680 5967060 7956080 10689360 11934120 23868240 36607009 73214018 109821027 146428036 183035045 219642054 292856072 366070090 402677099 439284108 549105135 585712144 732140180 805354198 878568216 1098210270 1208031297 1464280360 1610708396 1757136432 2013385495 2196420540 2416062594 2928560720 3221416792 4026770990 4392841080 4832125188 6040156485 6442833584 8053541980 8785682160 9664250376 12080312970 16107083960 19328500752 24160625940 32214167920 48321251880 96642503760