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96664527432 = 233211233312
BaseRepresentation
bin101101000000110100…
…1111010001001001000
3100020111201100210001200
41122001221322021020
53040432104334212
6112223532144200
76661302632454
oct1320151721110
9306451323050
1096664527432
1137aa4673200
1216898908060
13916678a535
14497008d664
1527ab4cb6dc
hex1681a7a248

96664527432 has 108 divisors (see below), whose sum is σ = 287849789955. Its totient is φ = 29283487200.

The previous prime is 96664527413. The next prime is 96664527469. The reversal of 96664527432 is 23472546669.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 48332263716 + 48332263716 = 219846^2 + 219846^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=219846.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29018007 + ... + 29021337.

Almost surely, 296664527432 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 96664527432

96664527432 is an abundant number, since it is smaller than the sum of its proper divisors (191185262523).

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

96664527432 is a wasteful number, since it uses less digits than its factorization.

96664527432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6696 (or 3347 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 96664527432 in words is "ninety-six billion, six hundred sixty-four million, five hundred twenty-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 3331 4356 6662 8712 9993 13324 19986 26648 29979 36641 39972 59958 73282 79944 109923 119916 146564 219846 239832 293128 329769 403051 439692 659538 806102 879384 1209153 1319076 1612204 2418306 2638152 3224408 3627459 4836612 7254918 9673224 11095561 14509836 22191122 29019672 33286683 44382244 66573366 88764488 99860049 122051171 133146732 199720098 244102342 266293464 366153513 399440196 488204684 732307026 798880392 976409368 1098460539 1342562881 1464614052 2196921078 2685125762 2929228104 4027688643 4393842156 5370251524 8055377286 8787684312 10740503048 12083065929 16110754572 24166131858 32221509144 48332263716 96664527432