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7152084072 = 2332729574799
BaseRepresentation
bin1101010100100110…
…00010010001101000
3200110102220111220200
412222103002101220
5104121413142242
63141405552200
7342143466030
oct65223022150
920412814820
107152084072
11304018a691
121477275660
1389c984613
144bbc288c0
152bcd5b04c
hex1aa4c2468

7152084072 has 96 divisors (see below), whose sum is σ = 22149504000. Its totient is φ = 2042335872.

The previous prime is 7152084067. The next prime is 7152084089. The reversal of 7152084072 is 2704802517.

It is a super-2 number, since 2×71520840722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1487929 + ... + 1492727.

It is an arithmetic number, because the mean of its divisors is an integer number (230724000).

Almost surely, 27152084072 is an apocalyptic number.

7152084072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7152084072 is an abundant number, since it is smaller than the sum of its proper divisors (14997419928).

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

7152084072 is a wasteful number, since it uses less digits than its factorization.

7152084072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7775 (or 7768 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 7152084072 is about 84569.9951046469. The cubic root of 7152084072 is about 1926.6856834660.

Adding to 7152084072 its reverse (2704802517), we get a palindrome (9856886589).

The spelling of 7152084072 in words is "seven billion, one hundred fifty-two million, eighty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2957 4799 5914 8871 9598 11828 14397 17742 19196 20699 23656 26613 28794 33593 35484 38392 41398 43191 53226 57588 62097 67186 70968 82796 86382 100779 106452 115176 124194 134372 165592 172764 186291 201558 212904 248388 268744 302337 345528 372582 403116 496776 604674 745164 806232 1209348 1490328 2418696 14190643 28381286 42571929 56762572 85143858 99334501 113525144 127715787 170287716 198669002 255431574 298003503 340575432 397338004 510863148 596007006 794676008 894010509 1021726296 1192014012 1788021018 2384028024 3576042036 7152084072