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64525143413406 = 231353239203932029
BaseRepresentation
bin11101010101111011011100…
…10000001001001010011110
322110110112200012001200011110
432222331232100021022132
531424134443203212111
6345122235222202450
716406534130340404
oct1652755620111236
9273415605050143
1064525143413406
1119617a61320875
1272a14a3b83426
132a009059620b0
1411d10682d5474
1576d6a8c415a6
hex3aaf6e40929e

64525143413406 has 128 divisors (see below), whose sum is σ = 142266087936000. Its totient is φ = 19387666561536.

The previous prime is 64525143413327. The next prime is 64525143413411. The reversal of 64525143413406 is 60431434152546.

It is a super-2 number, since 2×645251434134062 (a number of 28 digits) contains 22 as substring.

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, 2014569000 + ... + 2014601028.

It is an arithmetic number, because the mean of its divisors is an integer number (1111453812000).

Almost surely, 264525143413406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64525143413406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71133043968000).

64525143413406 is an abundant number, since it is smaller than the sum of its proper divisors (77740944522594).

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

64525143413406 is a wasteful number, since it uses less digits than its factorization.

64525143413406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34378.

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 64525143413406 in words is "sixty-four trillion, five hundred twenty-five billion, one hundred forty-three million, four hundred thirteen thousand, four hundred six".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 239 318 478 689 717 1378 1434 2039 2067 3107 4078 4134 6117 6214 9321 12234 12667 18642 25334 26507 32029 38001 53014 64058 76002 79521 96087 108067 159042 164671 192174 216134 324201 329342 416377 487321 494013 648402 832754 974642 988026 1249131 1404871 1461963 1697537 2498262 2809742 2923926 3395074 4214613 5092611 6335173 7654931 8429226 10185222 12670346 15309862 19005519 22067981 22964793 25828013 38011038 44135962 45929586 51656026 65307131 66203943 77484039 99514103 130614262 132407886 154968078 195921393 199028206 298542309 335764169 391842786 405711343 597084618 671528338 811422686 848992703 1007292507 1217134029 1697985406 2014585014 2434268058 2546978109 3461277943 5093956218 5274247459 6922555886 10383833829 10548494918 15608404309 15822742377 20767667658 31216808618 31645484754 44996613259 46825212927 89993226518 93650425854 134989839777 202909256017 269979679554 405818512034 608727768051 827245428377 1217455536102 1654490856754 2481736285131 4963472570262 10754190568901 21508381137802 32262571706703 64525143413406