Search a number
-
+
93325301310048 = 25310732212820679
BaseRepresentation
bin10101001110000011111101…
…011011101110001001100000
3110020102210220201011022010220
4111032003331123232021200
544213020204113410143
6530253015045123040
725441346652322623
oct2516037533561140
9406383821138126
1093325301310048
1127811046670925
12a57309a6b9480
13400c6cc41b8c2
141908d7c0d9dba
15abc912b1dd83
hex54e0fd6ee260

93325301310048 has 96 divisors (see below), whose sum is σ = 247345293807360. Its totient is φ = 30808122078720.

The previous prime is 93325301310029. The next prime is 93325301310107. The reversal of 93325301310048 is 84001310352339.

93325301310048 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×933253013100482 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 93325301309991 and 93325301310009.

It is a congruent number.

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, 31675773 + ... + 34496451.

It is an arithmetic number, because the mean of its divisors is an integer number (2576513477160).

Almost surely, 293325301310048 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 93325301310048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123672646903680).

93325301310048 is an abundant number, since it is smaller than the sum of its proper divisors (154019992497312).

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

93325301310048 is a wasteful number, since it uses less digits than its factorization.

93325301310048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824020 (or 2824012 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 93325301310048 in words is "ninety-three trillion, three hundred twenty-five billion, three hundred one million, three hundred ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3221 3424 5136 6442 9663 10272 12884 19326 25768 38652 51536 77304 103072 154608 309216 344647 689294 1033941 1378588 2067882 2757176 2820679 4135764 5514352 5641358 8271528 8462037 11028704 11282716 16543056 16924074 22565432 33086112 33848148 45130864 67696296 90261728 135392592 270785184 301812653 603625306 905437959 1207250612 1810875918 2414501224 3621751836 4829002448 7243503672 9085407059 9658004896 14487007344 18170814118 27256221177 28974014688 36341628236 54512442354 72683256472 109024884708 145366512944 218049769416 290733025888 436099538832 872199077664 972138555313 1944277110626 2916415665939 3888554221252 5832831331878 7777108442504 11665662663756 15554216885008 23331325327512 31108433770016 46662650655024 93325301310048