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93233829328 = 2429437345949
BaseRepresentation
bin101011011010100101…
…0110101010111010000
322220122121220020222221
41112311022311113100
53011420330014303
6110455300310424
76510264321253
oct1266512652720
9286577806887
1093233829328
11365a407aa12
121609b9a2414
138a3aaa6a63
1447265b109a
15265a20d4bd
hex15b52b55d0

93233829328 has 40 divisors (see below), whose sum is σ = 186916329000. Its totient is φ = 44998162944.

The previous prime is 93233829313. The next prime is 93233829341. The reversal of 93233829328 is 82392833239.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32635145104 + 60598684224 = 180652^2 + 246168^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2006098 + ... + 2052046.

It is an arithmetic number, because the mean of its divisors is an integer number (4672908225).

Almost surely, 293233829328 is an apocalyptic number.

It is an amenable number.

93233829328 is an abundant number, since it is smaller than the sum of its proper divisors (93682499672).

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

93233829328 is a wasteful number, since it uses less digits than its factorization.

93233829328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50359 (or 50353 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 52.

The spelling of 93233829328 in words is "ninety-three billion, two hundred thirty-three million, eight hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 4373 8746 17492 34984 45949 69968 91898 126817 183796 253634 367592 507268 735184 1014536 1332521 2029072 2665042 5330084 10660168 21320336 200934977 401869954 803739908 1607479816 3214959632 5827114333 11654228666 23308457332 46616914664 93233829328