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10716676164 = 22371073
BaseRepresentation
bin10011111101100001…
…11000000001000100
31000122212022120000000
421332300320001010
5133421432114124
64531223321300
7526366146555
oct117660700104
930585276000
1010716676164
1145aa314467
1220b0bb0230
13101a3180cc
147393dc32c
1542ac766c9
hex27ec38044

10716676164 has 96 divisors (see below), whose sum is σ = 28392336000. Its totient is φ = 3538840104.

The previous prime is 10716676151. The next prime is 10716676169. The reversal of 10716676164 is 46167661701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10716676164 is a `hidden beast` number, since 10 + 7 + 16 + 6 + 7 + 616 + 4 = 666.

It is a super-2 number, since 2×107166761642 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10716676169) 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, 100155799 + ... + 100155905.

It is an arithmetic number, because the mean of its divisors is an integer number (295753500).

Almost surely, 210716676164 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 10716676164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14196168000).

10716676164 is an abundant number, since it is smaller than the sum of its proper divisors (17675659836).

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

10716676164 is an frugal number, since it uses more digits than its factorization.

10716676164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 10716676164 in words is "ten billion, seven hundred sixteen million, six hundred seventy-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 243 321 324 428 486 642 729 963 972 1284 1458 1926 2187 2889 2916 3852 4374 5778 8667 8748 11449 11556 17334 22898 26001 34347 34668 45796 52002 68694 78003 103041 104004 137388 156006 206082 234009 309123 312012 412164 468018 618246 927369 936036 1225043 1236492 1854738 2450086 2782107 3675129 3709476 4900172 5564214 7350258 8346321 11025387 11128428 14700516 16692642 22050774 25038963 33076161 33385284 44101548 50077926 66152322 99228483 100155852 132304644 198456966 297685449 396913932 595370898 893056347 1190741796 1786112694 2679169041 3572225388 5358338082 10716676164