Search a number
-
+
70700720640 = 29351117192591
BaseRepresentation
bin100000111011000010…
…1110110001000000000
320202111020212201212220
41001312011312020000
52124243341030030
652251321451040
75052013131654
oct1016605661000
9222436781786
1070700720640
1127a90793940
1211851640a80
136889679a54
1435c9adaa64
151c8bdc6a10
hex1076176200

70700720640 has 640 divisors, whose sum is σ = 274919546880. Its totient is φ = 15276441600.

The previous prime is 70700720599. The next prime is 70700720653. The reversal of 70700720640 is 4602700707.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-5 number, since 5×707007206405 (a number of 55 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 27285745 + ... + 27288335.

It is an arithmetic number, because the mean of its divisors is an integer number (429561792).

Almost surely, 270700720640 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 70700720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137459773440).

70700720640 is an abundant number, since it is smaller than the sum of its proper divisors (204218826240).

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

70700720640 is a wasteful number, since it uses less digits than its factorization.

70700720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The spelling of 70700720640 in words is "seventy billion, seven hundred million, seven hundred twenty thousand, six hundred forty".