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7313003136 = 27339072333
BaseRepresentation
bin1101100111110001…
…11001001010000000
3200212122201001101000
412303320321022000
5104434112100021
63205355012000
7346136333565
oct66370711200
920778631330
107313003136
113112aaa54a
12150113a000
138c71074ba
144d535686c
152cc045b26
hex1b3e39280

7313003136 has 128 divisors (see below), whose sum is σ = 21616574400. Its totient is φ = 2433936384.

The previous prime is 7313003083. The next prime is 7313003147. The reversal of 7313003136 is 6313003137.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×73130031363 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3133426 + ... + 3135758.

Almost surely, 27313003136 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 7313003136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10808287200).

7313003136 is an abundant number, since it is smaller than the sum of its proper divisors (14303571264).

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

7313003136 is a wasteful number, since it uses less digits than its factorization.

7313003136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 7313003136 is about 85516.0986949241. The cubic root of 7313003136 is about 1941.0285345618.

Subtracting from 7313003136 its reverse (6313003137), we obtain a palindrome (999999999).

The spelling of 7313003136 in words is "seven billion, three hundred thirteen million, three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 907 1152 1728 1814 2333 2721 3456 3628 4666 5442 6999 7256 8163 9332 10884 13998 14512 16326 18664 20997 21768 24489 27996 29024 32652 37328 41994 43536 48978 55992 58048 62991 65304 74656 83988 87072 97956 111984 116096 125982 130608 149312 167976 174144 195912 223968 251964 261216 298624 335952 348288 391824 447936 503928 522432 671904 783648 895872 1007856 1044864 1343808 1567296 2015712 2116031 2687616 3134592 4031424 4232062 6348093 8062848 8464124 12696186 16928248 19044279 25392372 33856496 38088558 50784744 57132837 67712992 76177116 101569488 114265674 135425984 152354232 203138976 228531348 270851968 304708464 406277952 457062696 609416928 812555904 914125392 1218833856 1828250784 2437667712 3656501568 7313003136