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964516241040 = 243511633757653
BaseRepresentation
bin11100000100100011010…
…01011101111010010000
310102012120210110201000020
432002101221131322100
5111300312124203130
62015032002223440
7126453416530512
oct16022151357220
93365523421006
10964516241040
1134205a300670
12136b1a654b80
136cc51a88271
143497b9b1bb2
151a1514c9e10
hexe091a5de90

964516241040 has 160 divisors (see below), whose sum is σ = 3262389872256. Its totient is φ = 233781166080.

The previous prime is 964516241033. The next prime is 964516241071. The reversal of 964516241040 is 40142615469.

It is a junction number, because it is equal to n+sod(n) for n = 964516240983 and 964516241001.

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, 16700854 + ... + 16758506.

Almost surely, 2964516241040 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 964516241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631194936128).

964516241040 is an abundant number, since it is smaller than the sum of its proper divisors (2297873631216).

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

964516241040 is a wasteful number, since it uses less digits than its factorization.

964516241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64017 (or 64011 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 964516241040 in words is "nine hundred sixty-four billion, five hundred sixteen million, two hundred forty-one 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 6337 12674 19011 25348 31685 38022 50696 57653 63370 69707 76044 95055 101392 115306 126740 139414 152088 172959 190110 209121 230612 253480 278828 288265 304176 345918 348535 380220 418242 461224 506960 557656 576530 634183 691836 697070 760440 836484 864795 922448 1045605 1115312 1153060 1268366 1383672 1394140 1520880 1672968 1729590 1902549 2091210 2306120 2536732 2767344 2788280 3170915 3345936 3459180 3805098 4182420 4612240 5073464 5576560 6341830 6918360 7610196 8364840 9512745 10146928 12683660 13836720 15220392 16729680 19025490 25367320 30440784 38050980 50734640 76101960 152203920 365347061 730694122 1096041183 1461388244 1826735305 2192082366 2922776488 3653470610 4018817671 4384164732 5480205915 5845552976 7306941220 8037635342 8768329464 10960411830 12056453013 14613882440 16075270684 17536658928 20094088355 21920823660 24112906026 29227764880 32150541368 40188176710 43841647320 48225812052 60282265065 64301082736 80376353420 87683294640 96451624104 120564530130 160752706840 192903248208 241129060260 321505413680 482258120520 964516241040