Search a number
-
+
970196317440 = 28357269134177
BaseRepresentation
bin11100001111001000011…
…01001111010100000000
310102202020122112111000020
432013210031033110000
5111343430224124230
62021411350053440
7130044240426150
oct16074415172400
93382218474006
10970196317440
1134450458a089
1213804494a280
137064879b80c
1434d5a102760
151a384eba810
hexe1e434f500

970196317440 has 288 divisors, whose sum is σ = 3554407422720. Its totient is φ = 220933128192.

The previous prime is 970196317423. The next prime is 970196317483. The reversal of 970196317440 is 44713691079.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7163632 + ... + 7297808.

It is an arithmetic number, because the mean of its divisors is an integer number (12341692440).

Almost surely, 2970196317440 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 970196317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777203711360).

970196317440 is an abundant number, since it is smaller than the sum of its proper divisors (2584211105280).

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

970196317440 is a wasteful number, since it uses less digits than its factorization.

970196317440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134477 (or 134463 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 970196317440 in words is "nine hundred seventy billion, one hundred ninety-six million, three hundred seventeen thousand, four hundred forty".