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7113667272 = 23317971731039
BaseRepresentation
bin1101010000000000…
…11111001011001000
3200100202121201222020
412220000133023020
5104032044323042
63133514324440
7341166113505
oct65000371310
920322551866
107113667272
113020530568
121466429720
13894a2359a
144b6aa84ac
152b97bd3ec
hex1a801f2c8

7113667272 has 128 divisors (see below), whose sum is σ = 19152806400. Its totient is φ = 2193850368.

The previous prime is 7113667237. The next prime is 7113667273. The reversal of 7113667272 is 2727663117.

It is not an unprimeable number, because it can be changed into a prime (7113667273) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6846129 + ... + 6847167.

It is an arithmetic number, because the mean of its divisors is an integer number (149631300).

Almost surely, 27113667272 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 7113667272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576403200).

7113667272 is an abundant number, since it is smaller than the sum of its proper divisors (12039139128).

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

7113667272 is a wasteful number, since it uses less digits than its factorization.

7113667272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1331 counting only the distinct ones).

The product of its digits is 148176, while the sum is 42.

The square root of 7113667272 is about 84342.5590790320. The cubic root of 7113667272 is about 1923.2298133453.

The spelling of 7113667272 in words is "seven billion, one hundred thirteen million, six hundred sixty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 97 102 136 173 194 204 291 346 388 408 519 582 692 776 1038 1039 1164 1384 1649 2076 2078 2328 2941 3117 3298 4152 4156 4947 5882 6234 6596 8312 8823 9894 11764 12468 13192 16781 17646 17663 19788 23528 24936 33562 35292 35326 39576 50343 52989 67124 70584 70652 100686 100783 105978 134248 141304 179747 201372 201566 211956 285277 302349 359494 402744 403132 423912 539241 570554 604698 718988 806264 855831 1078482 1141108 1209396 1437976 1711662 1713311 2156964 2282216 2418792 3055699 3423324 3426622 4313928 5139933 6111398 6846648 6853244 9167097 10279866 12222796 13706488 17435459 18334194 20559732 24445592 34870918 36668388 41119464 52306377 69741836 73336776 104612754 139483672 209225508 296402803 418451016 592805606 889208409 1185611212 1778416818 2371222424 3556833636 7113667272