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70454030400 = 263252133731009
BaseRepresentation
bin100000110011101100…
…0110011000001000000
320201212001200120111100
41001213120303001000
52123242212433100
652211030214400
75042626243305
oct1014730630100
9221761616440
1070454030400
1127974510906
12117a2ab4400
13684a5259b0
1435a50430ac
151c753e8400
hex1067633040

70454030400 has 504 divisors, whose sum is σ = 270663553160. Its totient is φ = 17278894080.

The previous prime is 70454030369. The next prime is 70454030411. The reversal of 70454030400 is 403045407.

It can be written as a sum of positive squares in 12 ways, for example, as 36762693696 + 33691336704 = 191736^2 + 183552^2 .

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 71 ways as a sum of consecutive naturals, for example, 69825096 + ... + 69826104.

Almost surely, 270454030400 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 70454030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135331776580).

70454030400 is an abundant number, since it is smaller than the sum of its proper divisors (200209522760).

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

70454030400 is a wasteful number, since it uses less digits than its factorization.

70454030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 70454030400 its reverse (403045407), we get a palindrome (70857075807).

The spelling of 70454030400 in words is "seventy billion, four hundred fifty-four million, thirty thousand, four hundred".