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75342669696 = 273472148303
BaseRepresentation
bin100011000101011000…
…1011110011110000000
321012110202112011220000
41012022301132132000
52213300210412241
654340102520000
75305030061100
oct1061261363600
9235422464800
1075342669696
1129a52a77978
1212728136000
137149293a78
14390a3d7200
151e5e6a3eb6
hex118ac5e780

75342669696 has 240 divisors, whose sum is σ = 260827435440. Its totient is φ = 21526331904.

The previous prime is 75342669691. The next prime is 75342669707. The reversal of 75342669696 is 69696624357.

It is a happy number.

75342669696 is a `hidden beast` number, since 7 + 534 + 2 + 6 + 6 + 9 + 6 + 96 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75342669691) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 433881 + ... + 582183.

It is an arithmetic number, because the mean of its divisors is an integer number (1086780981).

Almost surely, 275342669696 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 75342669696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130413717720).

75342669696 is an abundant number, since it is smaller than the sum of its proper divisors (185484765744).

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

75342669696 is a wasteful number, since it uses less digits than its factorization.

75342669696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148343 (or 148315 counting only the distinct ones).

The product of its digits is 88179840, while the sum is 63.

The spelling of 75342669696 in words is "seventy-five billion, three hundred forty-two million, six hundred sixty-nine thousand, six hundred ninety-six".