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70533074304 = 27327211293917
BaseRepresentation
bin100000110110000011…
…0010100110110000000
320202001120102102100100
41001230012110312000
52123422431334204
652222532322400
75044606145100
oct1015406246600
9222046372310
1070533074304
1127a05099750
1211805473400
136860a0cb34
1435b173b200
151c7c30da39
hex106c194d80

70533074304 has 576 divisors, whose sum is σ = 266517248400. Its totient is φ = 17684029440.

The previous prime is 70533074243. The next prime is 70533074309. The reversal of 70533074304 is 40347033507.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70533074309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18004954 + ... + 18008870.

Almost surely, 270533074304 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 70533074304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133258624200).

70533074304 is an abundant number, since it is smaller than the sum of its proper divisors (195984174096).

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

70533074304 is a wasteful number, since it uses less digits than its factorization.

70533074304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 36.

The spelling of 70533074304 in words is "seventy billion, five hundred thirty-three million, seventy-four thousand, three hundred four".