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76431206656 = 287237164677
BaseRepresentation
bin100011100101110100…
…1111010100100000000
321022021121210120212201
41013023221322210000
52223012342103111
655040110002544
75344015352200
oct1071351724400
9238247716781
1076431206656
112a4614728a2
12129907a6454
13729095cc8c
1439b0bd0400
151ec50236c1
hex11cba7a900

76431206656 has 108 divisors (see below), whose sum is σ = 182269892028. Its totient is φ = 31870734336.

The previous prime is 76431206641. The next prime is 76431206659. The reversal of 76431206656 is 65660213467.

It can be written as a sum of positive squares in 2 ways, for example, as 67516825600 + 8914381056 = 259840^2 + 94416^2 .

It is not an unprimeable number, because it can be changed into a prime (76431206659) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 381790 + ... + 546466.

Almost surely, 276431206656 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 76431206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91134946014).

76431206656 is an abundant number, since it is smaller than the sum of its proper divisors (105838685372).

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

76431206656 is a wasteful number, since it uses less digits than its factorization.

76431206656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164744 (or 164723 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 76431206656 in words is "seventy-six billion, four hundred thirty-one million, two hundred six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 64 74 98 112 128 148 196 224 256 259 296 392 448 518 592 784 896 1036 1184 1568 1792 1813 2072 2368 3136 3626 4144 4736 6272 7252 8288 9472 12544 14504 16576 29008 33152 58016 66304 116032 164677 232064 329354 464128 658708 1152739 1317416 2305478 2634832 4610956 5269664 6093049 8069173 9221912 10539328 12186098 16138346 18443824 21078656 24372196 32276692 36887648 42157312 42651343 48744392 64553384 73775296 85302686 97488784 129106768 147550592 170605372 194977568 258213536 295101184 298559401 341210744 389955136 516427072 597118802 682421488 779910272 1032854144 1194237604 1364842976 1559820544 2065708288 2388475208 2729685952 4776950416 5459371904 9553900832 10918743808 19107801664 38215603328 76431206656