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70421742720 = 27325731103547
BaseRepresentation
bin100000110010101110…
…1101000010010000000
320201202210221012010100
41001211131220102000
52123210431231340
652203514202400
75042054636160
oct1014535502200
9221683835110
1070421742720
112795826867a
1211794123400
13684392c664
1435a0a3a5a0
151c7266b830
hex1065768480

70421742720 has 768 divisors, whose sum is σ = 290194145280. Its totient is φ = 15397724160.

The previous prime is 70421742679. The next prime is 70421742733. The reversal of 70421742720 is 2724712407.

It is a happy number.

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

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 95 ways as a sum of consecutive naturals, for example, 128741487 + ... + 128742033.

It is an arithmetic number, because the mean of its divisors is an integer number (377856960).

Almost surely, 270421742720 is an apocalyptic number.

70421742720 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 70421742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145097072640).

70421742720 is an abundant number, since it is smaller than the sum of its proper divisors (219772402560).

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

70421742720 is a wasteful number, since it uses less digits than its factorization.

70421742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The spelling of 70421742720 in words is "seventy billion, four hundred twenty-one million, seven hundred forty-two thousand, seven hundred twenty".