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96248672000 = 285313231367
BaseRepresentation
bin101100110100011011…
…1100010111100000000
3100012102201212010122122
41121220313202330000
53034104130001000
6112114355023412
76645063133115
oct1315067427400
9305381763578
1096248672000
1137900958928
12167a159ab68
1390cb587130
144930b5c90c
152784c35085
hex1668de2f00

96248672000 has 144 divisors (see below), whose sum is σ = 258212240832. Its totient is φ = 35537817600.

The previous prime is 96248671999. The next prime is 96248672011. The reversal of 96248672000 is 27684269.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300317 + ... + 531683.

Almost surely, 296248672000 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 96248672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129106120416).

96248672000 is an abundant number, since it is smaller than the sum of its proper divisors (161963568832).

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

96248672000 is a wasteful number, since it uses less digits than its factorization.

96248672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231411 (or 231387 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 96248672000 in words is "ninety-six billion, two hundred forty-eight million, six hundred seventy-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 256 260 320 325 400 416 500 520 640 650 800 832 1000 1040 1280 1300 1600 1625 1664 2000 2080 2600 3200 3250 3328 4000 4160 5200 6400 6500 8000 8320 10400 13000 16000 16640 20800 26000 32000 41600 52000 83200 104000 208000 231367 416000 462734 925468 1156835 1850936 2313670 3007771 3701872 4627340 5784175 6015542 7403744 9254680 11568350 12031084 14807488 15038855 18509360 23136700 24062168 28920875 29614976 30077710 37018720 46273400 48124336 57841750 59229952 60155420 74037440 75194275 92546800 96248672 115683500 120310840 148074880 150388550 185093600 192497344 231367000 240621680 296149760 300777100 370187200 375971375 384994688 462734000 481243360 601554200 740374400 751942750 769989376 925468000 962486720 1203108400 1480748800 1503885500 1850936000 1924973440 2406216800 3007771000 3701872000 3849946880 4812433600 6015542000 7403744000 9624867200 12031084000 19249734400 24062168000 48124336000 96248672000