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96828868864 = 2871319218761
BaseRepresentation
bin101101000101101110…
…0110100100100000000
3100020221011121012010101
41122023130310210000
53041301142300424
6112252122412144
76665336543140
oct1321334644400
9306834535111
1096828868864
1138079410372
1216923961054
13919183b0a0
144987c2c920
1527bab40344
hex168b734900

96828868864 has 144 divisors (see below), whose sum is σ = 250403735680. Its totient is φ = 36289658880.

The previous prime is 96828868861. The next prime is 96828868867. The reversal of 96828868864 is 46886882869.

It is an interprime number because it is at equal distance from previous prime (96828868861) and next prime (96828868867).

It is not an unprimeable number, because it can be changed into a prime (96828868861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333244 + ... + 552004.

Almost surely, 296828868864 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 96828868864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125201867840).

96828868864 is an abundant number, since it is smaller than the sum of its proper divisors (153574866816).

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

96828868864 is a wasteful number, since it uses less digits than its factorization.

96828868864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218816 (or 218802 counting only the distinct ones).

The product of its digits is 509607936, while the sum is 73.

The spelling of 96828868864 in words is "ninety-six billion, eight hundred twenty-eight million, eight hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 128 133 152 182 208 224 247 256 266 304 364 416 448 494 532 608 728 832 896 988 1064 1216 1456 1664 1729 1792 1976 2128 2432 2912 3328 3458 3952 4256 4864 5824 6916 7904 8512 11648 13832 15808 17024 23296 27664 31616 34048 55328 63232 110656 218761 221312 437522 442624 875044 1531327 1750088 2843893 3062654 3500176 4156459 5687786 6125308 7000352 8312918 11375572 12250616 14000704 16625836 19907251 22751144 24501232 28001408 29095213 33251672 39814502 45502288 49002464 54033967 56002816 58190426 66503344 79629004 91004576 98004928 108067934 116380852 133006688 159258008 182009152 196009856 216135868 232761704 266013376 318516016 364018304 378237769 392019712 432271736 465523408 532026752 637032032 728036608 756475538 864543472 931046816 1064053504 1274064064 1512951076 1729086944 1862093632 2548128128 3025902152 3458173888 3724187264 5096256256 6051804304 6916347776 7448374528 12103608608 13832695552 24207217216 48414434432 96828868864