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70419731200 = 2852713271131
BaseRepresentation
bin100000110010101010…
…1111101001100000000
320201202200010222211121
41001211111331030000
52123204422344300
652203403122024
75042031560530
oct1014525751400
9221680128747
1070419731200
1127957114365
1211793513314
1368433a6c00
1435a06754c0
151c723c081a
hex106557d300

70419731200 has 648 divisors, whose sum is σ = 220409392896. Its totient is φ = 21805056000.

The previous prime is 70419731183. The next prime is 70419731219. The reversal of 70419731200 is 213791407.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 537555135 + ... + 537555265.

It is an arithmetic number, because the mean of its divisors is an integer number (340137952).

Almost surely, 270419731200 is an apocalyptic number.

70419731200 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 70419731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110204696448).

70419731200 is an abundant number, since it is smaller than the sum of its proper divisors (149989661696).

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

70419731200 is a wasteful number, since it uses less digits than its factorization.

70419731200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The spelling of 70419731200 in words is "seventy billion, four hundred nineteen million, seven hundred thirty-one thousand, two hundred".