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70199114400 = 253352103139227
BaseRepresentation
bin100000101100000110…
…0010111101010100000
320201012022000111111000
41001120030113222200
52122231433130100
652125442352000
75033412425052
oct1013014275240
9221168014430
1070199114400
112785362a728
121173165b600
13680978181c
14357d2478d2
151c5cd42900
hex1058317aa0

70199114400 has 576 divisors, whose sum is σ = 259333401600. Its totient is φ = 18323573760.

The previous prime is 70199114399. The next prime is 70199114417. The reversal of 70199114400 is 441199107.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309247087 + ... + 309247313.

It is an arithmetic number, because the mean of its divisors is an integer number (450231600).

Almost surely, 270199114400 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 70199114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129666700800).

70199114400 is an abundant number, since it is smaller than the sum of its proper divisors (189134287200).

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

70199114400 is a wasteful number, since it uses less digits than its factorization.

70199114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 70199114400 in words is "seventy billion, one hundred ninety-nine million, one hundred fourteen thousand, four hundred".