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1064232466401 = 313273193383389
BaseRepresentation
bin11110111110010010011…
…00101011011111100001
310202201222012010210122010
433133021030223133201
5114414022002411101
62132522431103133
7136613446464636
oct17371114533741
93681865123563
101064232466401
1138037a534675
12152309371aa9
137948385b200
143971b08418d
151ca3a85d2d6
hexf7c932b7e1

1064232466401 has 96 divisors (see below), whose sum is σ = 1573766737920. Its totient is φ = 639268651008.

The previous prime is 1064232466399. The next prime is 1064232466457. The reversal of 1064232466401 is 1046642324601.

It is not a de Polignac number, because 1064232466401 - 21 = 1064232466399 is a prime.

It is a super-2 number, since 2×10642324664012 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1064232466401.

It is not an unprimeable number, because it can be changed into a prime (1064232466001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2735815915 + ... + 2735816303.

It is an arithmetic number, because the mean of its divisors is an integer number (16393403520).

Almost surely, 21064232466401 is an apocalyptic number.

It is an amenable number.

1064232466401 is a deficient number, since it is larger than the sum of its proper divisors (509534271519).

1064232466401 is a wasteful number, since it uses less digits than its factorization.

1064232466401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 1064232466401 in words is "one trillion, sixty-four billion, two hundred thirty-two million, four hundred sixty-six thousand, four hundred one".

Divisors: 1 3 13 39 73 169 193 219 383 389 507 579 949 1149 1167 2509 2847 4979 5057 7527 12337 14089 14937 15171 27959 28397 32617 37011 42267 64727 65741 73919 75077 83877 85191 97851 148987 183157 194181 197223 221757 225231 363467 369161 446961 549471 960947 976001 1090401 1107483 1936831 2381041 2882841 2928003 4725071 4799093 5396087 5480621 5810493 7143123 10876051 12492311 12688013 14175213 14397279 16188261 16441863 25178803 28754491 32628153 37476933 38064039 70149131 71248073 75536409 86263473 141388663 210447393 213744219 373808383 424165989 911938703 926224949 1121425149 1838052619 2099077843 2735816109 2778674847 4859508979 5514157857 6297233529 14578526937 27288011959 81864035877 354744155467 1064232466401