Search a number
-
+
70514028480 = 2635731261179
BaseRepresentation
bin100000110101011110…
…1101010111111000000
320202000020120210101110
41001222331222333000
52123403042402410
652221012203320
75044255231650
oct1015275527700
9222006523343
1070514028480
11279a53702a5
12117bb009540
136859aa1b0c
1435acdc0360
151c7a7ea720
hex106af6afc0

70514028480 has 672 divisors, whose sum is σ = 270220561920. Its totient is φ = 15256166400.

The previous prime is 70514028439. The next prime is 70514028503. The reversal of 70514028480 is 8482041507.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×705140284802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 393933031 + ... + 393933209.

Almost surely, 270514028480 is an apocalyptic number.

70514028480 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 70514028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135110280960).

70514028480 is an abundant number, since it is smaller than the sum of its proper divisors (199706533440).

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

70514028480 is a wasteful number, since it uses less digits than its factorization.

70514028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

Adding to 70514028480 its reverse (8482041507), we get a palindrome (78996069987).

The spelling of 70514028480 in words is "seventy billion, five hundred fourteen million, twenty-eight thousand, four hundred eighty".