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159867227556 = 22349722292
BaseRepresentation
bin1001010011100011010…
…1000100110110100100
3120021122102101121110000
42110320311010312210
510104402002240211
6201235245301300
714356442004351
oct2247065046644
9507572347400
10159867227556
1161887978273
1226b97264830
13120c98c024a
147a48031628
154259eb2656
hex2538d44da4

159867227556 has 135 divisors (see below), whose sum is σ = 424129487859. Its totient is φ = 52509399552.

The previous prime is 159867227549. The next prime is 159867227587. The reversal of 159867227556 is 655722768951.

The square root of 159867227556 is 399834.

It is a perfect power (a square), and thus also a powerful number.

159867227556 is a `hidden beast` number, since 1 + 5 + 9 + 8 + 6 + 72 + 2 + 7 + 556 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32692256100 + 127174971456 = 180810^2 + 356616^2 .

It is a junction number, because it is equal to n+sod(n) for n = 159867227493 and 159867227502.

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 44 ways as a sum of consecutive naturals, for example, 698110050 + ... + 698110278.

Almost surely, 2159867227556 is an apocalyptic number.

159867227556 is the 399834-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159867227556

159867227556 is an abundant number, since it is smaller than the sum of its proper divisors (264262260303).

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

159867227556 is an frugal number, since it uses more digits than its factorization.

159867227556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 331 counting only the distinct ones).

The product of its digits is 63504000, while the sum is 63.

The spelling of 159867227556 in words is "one hundred fifty-nine billion, eight hundred sixty-seven million, two hundred twenty-seven thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 194 229 291 324 388 458 582 687 873 916 1164 1374 1746 2061 2619 2748 3492 4122 5238 6183 7857 8244 9409 10476 12366 15714 18549 18818 22213 24732 28227 31428 37098 37636 44426 52441 56454 66639 74196 84681 88852 104882 112908 133278 157323 169362 199917 209764 254043 266556 314646 338724 399834 471969 508086 599751 629292 762129 799668 943938 1016172 1199502 1415907 1524258 1799253 1887876 2154661 2399004 2831814 3048516 3598506 4247721 4309322 5086777 5663628 6463983 7197012 8495442 8618644 10173554 12927966 15260331 16990884 19391949 20347108 25855932 30520662 38783898 45780993 58175847 61041324 77567796 91561986 116351694 137342979 174527541 183123972 232703388 274685958 349055082 412028937 493417369 549371916 698110164 824057874 986834738 1480252107 1648115748 1973669476 2960504214 4440756321 5921008428 8881512642 13322268963 17763025284 26644537926 39966806889 53289075852 79933613778 159867227556