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70398388224 = 211342318451
BaseRepresentation
bin100000110010000010…
…0100010100000000000
320201201011222122210000
41001210010202200000
52123133441410344
652201321440000
75041352266233
oct1014404424000
9221634878700
1070398388224
112794606703a
1211788340000
13683bb43428
14359b8bb41a
151c705a6a69
hex1064122800

70398388224 has 240 divisors, whose sum is σ = 219428969760. Its totient is φ = 22444646400.

The previous prime is 70398388199. The next prime is 70398388231. The reversal of 70398388224 is 42288389307.

70398388224 is a `hidden beast` number, since 7 + 0 + 39 + 8 + 388 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3806199 + ... + 3824649.

It is an arithmetic number, because the mean of its divisors is an integer number (914287374).

Almost surely, 270398388224 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 70398388224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109714484880).

70398388224 is an abundant number, since it is smaller than the sum of its proper divisors (149030581536).

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

70398388224 is a wasteful number, since it uses less digits than its factorization.

70398388224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18508 (or 18479 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 70398388224 in words is "seventy billion, three hundred ninety-eight million, three hundred eighty-eight thousand, two hundred twenty-four".