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253343525343352 = 2310738370910391049
BaseRepresentation
bin111001100110101000100010…
…110101011001000001111000
31020020000101220212121011100021
4321212220202311121001320
5231201240014441441402
62254452224150420224
7104235315505401223
oct7146504265310170
91206011825534307
10253343525343352
11737a542744a054
12244b780a061674
13ab49265893a92
14467bc6bb0c5ba
151e450a6d4ed37
hexe66a22d59078

253343525343352 has 128 divisors (see below), whose sum is σ = 482311065600000. Its totient is φ = 124744415763456.

The previous prime is 253343525343329. The next prime is 253343525343379.

253343525343352 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 253343525343352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241509556524 + ... + 241509557572.

It is an arithmetic number, because the mean of its divisors is an integer number (3768055200000).

Almost surely, 2253343525343352 is an apocalyptic number.

It is an amenable number.

253343525343352 is a deficient number, since it is larger than the sum of its proper divisors (228967540256648).

253343525343352 is a wasteful number, since it uses less digits than its factorization.

253343525343352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3293 (or 3289 counting only the distinct ones).

The product of its digits is 58320000, while the sum is 52.

The spelling of 253343525343352 in words is "two hundred fifty-three trillion, three hundred forty-three billion, five hundred twenty-five million, three hundred forty-three thousand, three hundred fifty-two".

Divisors: 1 2 4 8 107 214 383 428 709 766 856 1039 1049 1418 1532 2078 2098 2836 3064 4156 4196 5672 8312 8392 40981 75863 81962 111173 112243 151726 163924 222346 224486 271547 303452 327848 397937 401767 444692 448972 543094 606904 736651 743741 795874 803534 889384 897944 1086188 1089911 1473302 1487482 1591748 1607068 2172376 2179822 2946604 2974964 3183496 3214136 4359644 5893208 5949928 8719288 29055529 42579259 42989069 58111058 78821657 79580287 85158518 85978138 116222116 116620477 157643314 159160574 170317036 171956276 232444232 233240954 282137333 284852803 315286628 318321148 340634072 343912552 417435913 466481908 564274666 569705606 630573256 636642296 772746899 834871826 932963816 1128549332 1139411212 1545493798 1669743652 2257098664 2278822424 3090987596 3339487304 6181975192 30188694631 30479249921 44665642691 60377389262 60958499842 82683918193 89331285382 120754778524 121916999684 165367836386 178662570764 241509557048 243833999368 295962062317 330735672772 357325141528 591924124634 661471345544 1183848249268 2367696498536 31667940667919 63335881335838 126671762671676 253343525343352