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93552969096 = 233259197111791
BaseRepresentation
bin101011100100000110…
…0010000010110001000
322221110212102020110100
41113020030100112020
53013044030002341
6110551100445400
76521221055016
oct1271014202610
9287425366410
1093552969096
1136748237394
121616a849860
138a8bc46562
144756b278b6
15267824d3b6
hex15c8310588

93552969096 has 96 divisors (see below), whose sum is σ = 258977347200. Its totient is φ = 30499889280.

The previous prime is 93552969089. The next prime is 93552969149. The reversal of 93552969096 is 69096925539.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 780961 + ... + 892751.

It is an arithmetic number, because the mean of its divisors is an integer number (2697680700).

Almost surely, 293552969096 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 93552969096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129488673600).

93552969096 is an abundant number, since it is smaller than the sum of its proper divisors (165424378104).

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

93552969096 is a wasteful number, since it uses less digits than its factorization.

93552969096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112059 (or 112052 counting only the distinct ones).

The product of its (nonzero) digits is 35429400, while the sum is 63.

The spelling of 93552969096 in words is "ninety-three billion, five hundred fifty-two million, nine hundred sixty-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 197 236 354 394 472 531 591 708 788 1062 1182 1416 1576 1773 2124 2364 3546 4248 4728 7092 11623 14184 23246 34869 46492 69738 92984 104607 111791 139476 209214 223582 278952 335373 418428 447164 670746 836856 894328 1006119 1341492 2012238 2682984 4024476 6595669 8048952 13191338 19787007 22022827 26382676 39574014 44045654 52765352 59361021 66068481 79148028 88091308 118722042 132136962 158296056 176182616 198205443 237444084 264273924 396410886 474888168 528547848 792821772 1299346793 1585643544 2598693586 3898040379 5197387172 7796080758 10394774344 11694121137 15592161516 23388242274 31184323032 46776484548 93552969096