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96845281792 = 29783379859
BaseRepresentation
bin101101000110001101…
…1011011101000000000
3100020222022111001102121
41122030123123220000
53041314343004132
6112253510254024
76665626212220
oct1321433335000
9306868431377
1096845281792
1138087700676
1216929357314
13919506688c
14498a0a2080
1527bc2d3497
hex168c6dba00

96845281792 has 160 divisors (see below), whose sum is σ = 224660620800. Its totient is φ = 40849256448.

The previous prime is 96845281787. The next prime is 96845281837. The reversal of 96845281792 is 29718254869.

96845281792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 96845281792.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112741459 + ... + 112742317.

It is an arithmetic number, because the mean of its divisors is an integer number (1404128880).

Almost surely, 296845281792 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 96845281792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112330310400).

96845281792 is an abundant number, since it is smaller than the sum of its proper divisors (127815339008).

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

96845281792 is an equidigital number, since it uses as much as digits as its factorization.

96845281792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1330 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 61.

The spelling of 96845281792 in words is "ninety-six billion, eight hundred forty-five million, two hundred eighty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 128 166 224 256 332 379 448 512 581 664 758 859 896 1162 1328 1516 1718 1792 2324 2653 2656 3032 3436 3584 4648 5306 5312 6013 6064 6872 9296 10612 10624 12026 12128 13744 18592 21224 21248 24052 24256 27488 31457 37184 42448 42496 48104 48512 54976 62914 71297 74368 84896 96208 97024 109952 125828 142594 148736 169792 192416 194048 219904 220199 251656 285188 297472 325561 339584 384832 439808 440398 499079 503312 570376 651122 679168 769664 880796 998158 1006624 1140752 1302244 1358336 1539328 1761592 1996316 2013248 2278927 2281504 2604488 3078656 3523184 3992632 4026496 4557854 4563008 5208976 7046368 7985264 8052992 9115708 9126016 10417952 14092736 15970528 16105984 18231416 18252032 20835904 27021563 28185472 31941056 36462832 36504064 41671808 54043126 56370944 63882112 72925664 83343616 108086252 112741888 127764224 145851328 166687232 189150941 216172504 255528448 291702656 378301882 432345008 583405312 756603764 864690016 1166810624 1513207528 1729380032 3026415056 3458760064 6052830112 6917520128 12105660224 13835040256 24211320448 48422640896 96845281792