Search a number
-
+
70028723968 = 287317431091
BaseRepresentation
bin100000100111000001…
…0011000011100000000
320200202102101202202021
41001032002120130000
52121404323131333
652100514331224
75026243222000
oct1011602303400
9220672352667
1070028723968
1127776430895
12116a4589b14
1367b0393898
143564772000
151c4cdd682d
hex104e098700

70028723968 has 288 divisors, whose sum is σ = 176778201600. Its totient is φ = 27564687360.

The previous prime is 70028723929. The next prime is 70028723971. The reversal of 70028723968 is 86932782007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64187103 + ... + 64188193.

It is an arithmetic number, because the mean of its divisors is an integer number (613813200).

Almost surely, 270028723968 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 70028723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88389100800).

70028723968 is an abundant number, since it is smaller than the sum of its proper divisors (106749477632).

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

70028723968 is a wasteful number, since it uses less digits than its factorization.

70028723968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 70028723968 in words is "seventy billion, twenty-eight million, seven hundred twenty-three thousand, nine hundred sixty-eight".