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8135445318 = 237111310313151
BaseRepresentation
bin1111001001110100…
…10000101101000110
3202222222021102221120
413210322100231012
5113130133222233
63423134454410
7405414100320
oct74472205506
922888242846
108135445318
1134a5279530
1216b0664406
139c8617290
14572684610
153293524b3
hex1e4e90b46

8135445318 has 128 divisors (see below), whose sum is σ = 22060007424. Its totient is φ = 1931472000.

The previous prime is 8135445301. The next prime is 8135445341.

It is a happy number.

8135445318 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×81354453182 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 8135445318.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 612043 + ... + 625193.

It is an arithmetic number, because the mean of its divisors is an integer number (172343808).

Almost surely, 28135445318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8135445318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11030003712).

8135445318 is an abundant number, since it is smaller than the sum of its proper divisors (13924562106).

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

8135445318 is a wasteful number, since it uses less digits than its factorization.

8135445318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13290.

The product of its digits is 230400, while the sum is 42.

The square root of 8135445318 is about 90196.7034763466. The cubic root of 8135445318 is about 2011.2240028813.

The spelling of 8135445318 in words is "eight billion, one hundred thirty-five million, four hundred forty-five thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 103 143 154 182 206 231 273 286 309 429 462 546 618 721 858 1001 1133 1339 1442 2002 2163 2266 2678 3003 3399 4017 4326 6006 6798 7931 8034 9373 13151 14729 15862 18746 23793 26302 28119 29458 39453 44187 47586 56238 78906 88374 92057 103103 144661 170963 184114 206206 276171 289322 309309 341926 433983 512889 552342 618618 867966 1012627 1025778 1196741 1354553 1880593 2025254 2393482 2709106 3037881 3590223 3761186 4063659 5641779 6075762 7180446 8127318 9481871 11283558 13164151 14900083 17609189 18963742 26328302 28445613 29800166 35218378 39492453 44700249 52827567 56891226 78984906 89400498 104300581 105655134 123264323 193701079 208601162 246528646 312901743 369792969 387402158 581103237 625803486 739585938 1162206474 1355907553 2711815106 4067722659 8135445318