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1065451200164 = 22131910716935953
BaseRepresentation
bin11111000000100011101…
…01110001111010100100
310202212010010101220001122
433200101311301322210
5114424021001401124
62133243404513112
7136655605526411
oct17402165617244
93685103356048
101065451200164
1138094547635a
121525a954b798
13796191b1650
14397d4c8d108
151caac84975e
hexf811d71ea4

1065451200164 has 96 divisors (see below), whose sum is σ = 2135020567680. Its totient is φ = 461161340928.

The previous prime is 1065451200133. The next prime is 1065451200169. The reversal of 1065451200164 is 4610021545601.

1065451200164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10654512001642 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1065451200169) 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, 178974212 + ... + 178980164.

It is an arithmetic number, because the mean of its divisors is an integer number (22239797580).

Almost surely, 21065451200164 is an apocalyptic number.

It is an amenable number.

1065451200164 is an abundant number, since it is smaller than the sum of its proper divisors (1069569367516).

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

1065451200164 is a wasteful number, since it uses less digits than its factorization.

1065451200164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7789 (or 7787 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 1065451200164 its reverse (4610021545601), we get a palindrome (5675472745765).

The spelling of 1065451200164 in words is "one trillion, sixty-five billion, four hundred fifty-one million, two hundred thousand, one hundred sixty-four".

Divisors: 1 2 4 13 19 26 38 52 76 107 214 247 428 494 988 1391 1693 2033 2782 3386 4066 5564 5953 6772 8132 11906 22009 23812 26429 32167 44018 52858 64334 77389 88036 105716 113107 128668 154778 181151 226214 309556 362302 418171 452428 636971 724604 836342 1273942 1470391 1672684 2354963 2547884 2940782 3441869 4709926 5881564 6883738 8280623 9419852 10078429 12102449 13767476 16561246 20156858 24204898 33122492 40313716 44744297 48409796 89488594 131019577 157331837 178977188 191490151 262039154 314663674 382980302 524078308 629327348 765960604 1078391903 2156783806 2489371963 4313567612 4978743926 9957487852 14019094739 20489446157 28038189478 40978892314 56076378956 81957784628 266362800041 532725600082 1065451200164