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5156066538 = 2327236432767
BaseRepresentation
bin1001100110101001…
…10101010011101010
3111022100001022121100
410303110311103222
541024423112123
62211344222230
7241525561650
oct46324652352
914270038540
105156066538
112206513117
12bba90a976
136422a2b5c
1436cac8dd0
152029d3643
hex1335354ea

5156066538 has 96 divisors (see below), whose sum is σ = 13348048896. Its totient is φ = 1406411424.

The previous prime is 5156066519. The next prime is 5156066551. The reversal of 5156066538 is 8356606515.

5156066538 is a `hidden beast` number, since 5 + 1 + 5 + 606 + 6 + 5 + 38 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5156066493 and 5156066502.

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 47 ways as a sum of consecutive naturals, for example, 1862031 + ... + 1864797.

It is an arithmetic number, because the mean of its divisors is an integer number (139042176).

Almost surely, 25156066538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5156066538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6674024448).

5156066538 is an abundant number, since it is smaller than the sum of its proper divisors (8191982358).

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

5156066538 is a wasteful number, since it uses less digits than its factorization.

5156066538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 5156066538 is about 71805.7556049653. The cubic root of 5156066538 is about 1727.5853175617.

The spelling of 5156066538 in words is "five billion, one hundred fifty-six million, sixty-six thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 643 966 1286 1449 1929 2767 2898 3858 4501 5534 5787 8301 9002 11574 13503 14789 16602 19369 24903 27006 29578 38738 40509 44367 49806 58107 63641 81018 88734 103523 116214 127282 133101 174321 190923 207046 266202 310569 348642 381846 445487 572769 621138 890974 931707 1145538 1336461 1779181 1863414 2672922 3558362 4009383 5337543 8018766 10675086 12454267 16012629 24908534 32025258 37362801 40921163 74725602 81842326 112088403 122763489 224176806 245526978 286448141 368290467 572896282 736580934 859344423 1718688846 2578033269 5156066538