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45572075640 = 2332572133741131
BaseRepresentation
bin101010011100010011…
…101011000001111000
311100121222220022022100
4222130103223001320
51221312422410030
632534023423400
73202214152200
oct523423530170
9140558808270
1045572075640
1118366280a33
1289b9bb4b60
1343b35b0740
1422c4627400
1512bac92360
hexa9c4eb078

45572075640 has 1152 divisors, whose sum is σ = 196696019520. Its totient is φ = 9057484800.

The previous prime is 45572075629. The next prime is 45572075641. The reversal of 45572075640 is 4657027554.

45572075640 is a `hidden beast` number, since 4 + 5 + 572 + 0 + 75 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45572075641) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 347878375 + ... + 347878505.

Almost surely, 245572075640 is an apocalyptic number.

45572075640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45572075640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98348009760).

45572075640 is an abundant number, since it is smaller than the sum of its proper divisors (151123943880).

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

45572075640 is a wasteful number, since it uses less digits than its factorization.

45572075640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 45572075640 in words is "forty-five billion, five hundred seventy-two million, seventy-five thousand, six hundred forty".