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96888953040 = 24351140918971
BaseRepresentation
bin101101000111100001…
…0000001100011010000
3100021002100122210010020
41122033002001203100
53041412032444130
6112302110303440
76666666340515
oct1321702014320
9307070583106
1096888953040
11380aa319510
121693bab7b80
1391a1117459
144991bcd30c
1527c105ce10
hex168f0818d0

96888953040 has 160 divisors (see below), whose sum is σ = 327777449472. Its totient is φ = 23479872000.

The previous prime is 96888953033. The next prime is 96888953113. The reversal of 96888953040 is 4035988869.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 10795755 + ... + 10804725.

Almost surely, 296888953040 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 96888953040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163888724736).

96888953040 is an abundant number, since it is smaller than the sum of its proper divisors (230888496432).

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

96888953040 is a wasteful number, since it uses less digits than its factorization.

96888953040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13089 (or 13083 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 96888953040 in words is "ninety-six billion, eight hundred eighty-eight million, nine hundred fifty-three thousand, forty".

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 4091 8182 8971 12273 16364 17942 20455 24546 26913 32728 35884 40910 44855 45001 49092 53826 61365 65456 71768 81820 89710 90002 98184 98681 107652 122730 134565 135003 143536 163640 179420 180004 196368 197362 215304 225005 245460 269130 270006 296043 327280 358840 360008 394724 430608 450010 490920 493405 538260 540012 592086 675015 717680 720016 789448 900020 981840 986810 1076520 1080024 1184172 1350030 1480215 1578896 1800040 1973620 2153040 2160048 2368344 2700060 2960430 3600080 3947240 4736688 5400120 5920860 7894480 10800240 11841720 23683440 36700361 73400722 110101083 146801444 183501805 220202166 293602888 367003610 403703971 440404332 550505415 587205776 734007220 807407942 880808664 1101010830 1211111913 1468014440 1614815884 1761617328 2018519855 2202021660 2422223826 2936028880 3229631768 4037039710 4404043320 4844447652 6055559565 6459263536 8074079420 8808086640 9688895304 12111119130 16148158840 19377790608 24222238260 32296317680 48444476520 96888953040