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93241696968 = 23337173798041
BaseRepresentation
bin101011011010110100…
…0110110001011001000
322220200011200222101000
41112311220312023020
53011424333300333
6110500141055000
76510421230060
oct1266550661310
9286604628330
1093241696968
11365a8563aa2
12160a2557460
138a3c5ccb74
14472765c3a0
15265ac64713
hex15b5a362c8

93241696968 has 256 divisors, whose sum is σ = 321891494400. Its totient is φ = 24395489280.

The previous prime is 93241696913. The next prime is 93241696969. The reversal of 93241696968 is 86969614239.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (93241696969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 902028 + ... + 1000068.

It is an arithmetic number, because the mean of its divisors is an integer number (1257388650).

Almost surely, 293241696968 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 93241696968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160945747200).

93241696968 is an abundant number, since it is smaller than the sum of its proper divisors (228649797432).

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

93241696968 is a wasteful number, since it uses less digits than its factorization.

93241696968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98117 (or 98107 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The spelling of 93241696968 in words is "ninety-three billion, two hundred forty-one million, six hundred ninety-six thousand, nine hundred sixty-eight".