Search a number
-
+
70072347140 = 2253732632
BaseRepresentation
bin100000101000010100…
…0110010101000000100
320200212110111001111022
41001100220302220010
52122002010102030
652105113330312
75030313060155
oct1012050625004
9220773431438
1070072347140
11277990165a4
12116b7106998
1367b9428603
14356a48992c
151c51b51de5
hex1050a32a04

70072347140 has 72 divisors (see below), whose sum is σ = 151816643160. Its totient is φ = 27167706432.

The previous prime is 70072347119. The next prime is 70072347181. The reversal of 70072347140 is 4174327007.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23108256196 + 46964090944 = 152014^2 + 216712^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 70072347140.

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 23 ways as a sum of consecutive naturals, for example, 266434649 + ... + 266434911.

Almost surely, 270072347140 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 70072347140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75908321580).

70072347140 is an abundant number, since it is smaller than the sum of its proper divisors (81744296020).

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

70072347140 is an frugal number, since it uses more digits than its factorization.

70072347140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 35.

The spelling of 70072347140 in words is "seventy billion, seventy-two million, three hundred forty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 263 370 526 740 1052 1315 1369 2630 2738 5260 5476 6845 9731 13690 19462 27380 38924 48655 50653 69169 97310 101306 138338 194620 202612 253265 276676 345845 360047 506530 691690 720094 1013060 1383380 1440188 1800235 2559253 3600470 5118506 7200940 10237012 12796265 13321739 25592530 26643478 51185060 53286956 66608695 94692361 133217390 189384722 266434780 378769444 473461805 946923610 1893847220 3503617357 7007234714 14014469428 17518086785 35036173570 70072347140