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2713295832 = 23313233112197
BaseRepresentation
bin1010000110111001…
…1001101111011000
321000002112201011020
42201232121233120
521024100431312
61125123202440
7124144430322
oct24156315730
97002481136
102713295832
111172648355
12638816420
133431904c0
141ba4d4612
1510d30e78c
hexa1b99bd8

2713295832 has 128 divisors (see below), whose sum is σ = 7869173760. Its totient is φ = 772738560.

The previous prime is 2713295821. The next prime is 2713295857. The reversal of 2713295832 is 2385923172.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216358 + ... + 228554.

It is an arithmetic number, because the mean of its divisors is an integer number (61477920).

Almost surely, 22713295832 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 2713295832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934586880).

2713295832 is an abundant number, since it is smaller than the sum of its proper divisors (5155877928).

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

2713295832 is a wasteful number, since it uses less digits than its factorization.

2713295832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12273 (or 12269 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 2713295832 is about 52089.3063113726. The cubic root of 2713295832 is about 1394.7586041882.

The spelling of 2713295832 in words is "two billion, seven hundred thirteen million, two hundred ninety-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 31 39 46 52 62 69 78 92 93 104 124 138 156 184 186 248 276 299 312 372 403 552 598 713 744 806 897 1196 1209 1426 1612 1794 2139 2392 2418 2852 3224 3588 4278 4836 5704 7176 8556 9269 9672 12197 17112 18538 24394 27807 36591 37076 48788 55614 73182 74152 97576 111228 146364 158561 222456 280531 292728 317122 378107 475683 561062 634244 756214 841593 951366 1122124 1134321 1268488 1512428 1683186 1902732 2244248 2268642 3024856 3366372 3646903 3805464 4537284 4915391 6732744 7293806 8696461 9074568 9830782 10940709 14587612 14746173 17392922 19661564 21881418 26089383 29175224 29492346 34785844 39323128 43762836 52178766 58984692 69571688 87525672 104357532 113053993 117969384 208715064 226107986 339161979 452215972 678323958 904431944 1356647916 2713295832