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70954447200 = 25352713267373
BaseRepresentation
bin100001000010100110…
…1101111000101100000
320210010221022101021220
41002011031233011200
52130303314302300
652332424015040
75061213564360
oct1020515570540
9223127271256
1070954447200
1128100a3240a
1211902601480
1368ca0c5700
1436116a69a0
151ca42e4da0
hex108536f160

70954447200 has 864 divisors, whose sum is σ = 290859883776. Its totient is φ = 14707630080.

The previous prime is 70954447169. The next prime is 70954447253. The reversal of 70954447200 is 274445907.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 190226214 + ... + 190226586.

It is an arithmetic number, because the mean of its divisors is an integer number (336643384).

Almost surely, 270954447200 is an apocalyptic number.

70954447200 is a gapful number since it is divisible by the number (70) 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 70954447200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145429941888).

70954447200 is an abundant number, since it is smaller than the sum of its proper divisors (219905436576).

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

70954447200 is a wasteful number, since it uses less digits than its factorization.

70954447200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 70954447200 in words is "seventy billion, nine hundred fifty-four million, four hundred forty-seven thousand, two hundred".