Search a number
-
+
96769195016 = 231331229131071
BaseRepresentation
bin101101000011111100…
…1001011110000001000
3100020210000022102222212
41122013321023300020
53041140403220031
6112242151404252
76664013404664
oct1320771136010
9306700272885
1096769195016
113804876253a
1216907983688
139182376710
14497dd378a4
1527b57a412b
hex1687e4bc08

96769195016 has 64 divisors (see below), whose sum is σ = 202584883200. Its totient is φ = 43032902400.

The previous prime is 96769195007. The next prime is 96769195043. The reversal of 96769195016 is 61059196769.

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, 672761 + ... + 803831.

It is an arithmetic number, because the mean of its divisors is an integer number (3165388800).

Almost surely, 296769195016 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 96769195016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101292441600).

96769195016 is an abundant number, since it is smaller than the sum of its proper divisors (105815688184).

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

96769195016 is a wasteful number, since it uses less digits than its factorization.

96769195016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131350 (or 131346 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 59.

The spelling of 96769195016 in words is "ninety-six billion, seven hundred sixty-nine million, one hundred ninety-five thousand, sixteen".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 229 248 403 458 806 916 1612 1832 2977 3224 5954 7099 11908 14198 23816 28396 56792 92287 131071 184574 262142 369148 524284 738296 1048568 1703923 3407846 4063201 6815692 8126402 13631384 16252804 30015259 32505608 52821613 60030518 105643226 120061036 211286452 240122072 390198367 422572904 780396734 930473029 1560793468 1860946058 3121586936 3721892116 7443784232 12096149377 24192298754 48384597508 96769195016