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5340551784 = 2333153167811
BaseRepresentation
bin1001111100101001…
…00101101001101000
3111210012012010210020
410332110211221220
541414140124114
62241534320440
7246225640551
oct47624455150
914705163706
105340551784
1122a0669667
121050659120
13671587419
143893cd328
15213cc5aa9
hex13e525a68

5340551784 has 128 divisors (see below), whose sum is σ = 14143610880. Its totient is φ = 1678060800.

The previous prime is 5340551773. The next prime is 5340551789. The reversal of 5340551784 is 4871550435.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5340551789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6584739 + ... + 6585549.

It is an arithmetic number, because the mean of its divisors is an integer number (110496960).

Almost surely, 25340551784 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 5340551784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7071805440).

5340551784 is an abundant number, since it is smaller than the sum of its proper divisors (8803059096).

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

5340551784 is a wasteful number, since it uses less digits than its factorization.

5340551784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The square root of 5340551784 is about 73079.0789761338. The cubic root of 5340551784 is about 1747.9488113101.

The spelling of 5340551784 in words is "five billion, three hundred forty million, five hundred fifty-one thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 31 53 62 93 106 124 159 167 186 212 248 318 334 372 424 501 636 668 744 811 1002 1272 1336 1622 1643 2004 2433 3244 3286 4008 4866 4929 5177 6488 6572 8851 9732 9858 10354 13144 15531 17702 19464 19716 20708 25141 26553 31062 35404 39432 41416 42983 50282 53106 62124 70808 75423 85966 100564 106212 124248 128949 135437 150846 171932 201128 212424 257898 270874 274381 301692 343864 406311 515796 541748 548762 603384 812622 823143 1031592 1083496 1097524 1332473 1625244 1646286 2195048 2664946 3250488 3292572 3997419 4198547 5329892 6585144 7178161 7994838 8397094 10659784 12595641 14356322 15989676 16794188 21534483 25191282 28712644 31979352 33588376 43068966 50382564 57425288 86137932 100765128 172275864 222522991 445045982 667568973 890091964 1335137946 1780183928 2670275892 5340551784