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96140869440 = 26357311219127
BaseRepresentation
bin101100110001001110…
…0010011111101000000
3100012011020000012100020
41121202130103331000
53033344030310230
6112055544253440
76642313623000
oct1314234237500
9305136005306
1096140869440
1137856018200
1216771471280
1390b2141035
1449206da000
15277a53d810
hex1662713f40

96140869440 has 1344 divisors, whose sum is σ = 415113216000. Its totient is φ = 18776862720.

The previous prime is 96140869303. The next prime is 96140869481. The reversal of 96140869440 is 4496804169.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 757014657 + ... + 757014783.

It is an arithmetic number, because the mean of its divisors is an integer number (308864000).

Almost surely, 296140869440 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 96140869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207556608000).

96140869440 is an abundant number, since it is smaller than the sum of its proper divisors (318972346560).

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

96140869440 is a wasteful number, since it uses less digits than its factorization.

96140869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 96140869440 in words is "ninety-six billion, one hundred forty million, eight hundred sixty-nine thousand, four hundred forty".