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70240794624 = 211367111347
BaseRepresentation
bin100000101101010101…
…1010111100000000000
320201022012110002000000
41001122223113200000
52122323120411444
652133532000000
75034426621540
oct1013253274000
9221265402000
1070240794624
11278751086a0
1211743600000
1368152b6090
1435849b7320
151c61827469
hex105aad7800

70240794624 has 1344 divisors, whose sum is σ = 288745067520. Its totient is φ = 16482631680.

The previous prime is 70240794587. The next prime is 70240794641. The reversal of 70240794624 is 42649704207.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 70240794624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1494484969 + ... + 1494485015.

It is an arithmetic number, because the mean of its divisors is an integer number (214840080).

Almost surely, 270240794624 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 70240794624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144372533760).

70240794624 is an abundant number, since it is smaller than the sum of its proper divisors (218504272896).

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

70240794624 is a wasteful number, since it uses less digits than its factorization.

70240794624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 70240794624 in words is "seventy billion, two hundred forty million, seven hundred ninety-four thousand, six hundred twenty-four".