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70252704000 = 283353174783
BaseRepresentation
bin100000101101101100…
…0110011000100000000
320201100000212010121000
41001123120303010000
52122334143012000
652135035132000
75034633063003
oct1013330630400
9221300763530
1070252704000
1127880902356
12117475a4000
1368178c5a4b
1435863d753a
151c628cb000
hex105b633100

70252704000 has 576 divisors, whose sum is σ = 274580167680. Its totient is φ = 17628364800.

The previous prime is 70252703999. The next prime is 70252704031. The reversal of 70252704000 is 40725207.

70252704000 is a `hidden beast` number, since 7 + 0 + 252 + 7 + 0 + 400 + 0 = 666.

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 (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 14685609 + ... + 14690391.

It is an arithmetic number, because the mean of its divisors is an integer number (476701680).

Almost surely, 270252704000 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 70252704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137290083840).

70252704000 is an abundant number, since it is smaller than the sum of its proper divisors (204327463680).

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

70252704000 is a wasteful number, since it uses less digits than its factorization.

70252704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The spelling of 70252704000 in words is "seventy billion, two hundred fifty-two million, seven hundred four thousand".