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25401234406000 = 2453191993359063
BaseRepresentation
bin1011100011010001011111…
…00011011011101001110000
310022221100000200220022202111
411301220233203123221300
511312133212001443000
6130005055504255104
75231115160662265
oct561505743335160
9108840020808674
1025401234406000
11810366a682442
122a22b1a011494
13112343166608b
1463b5d7ad126c
152e0b27535cba
hex171a2f8dba70

25401234406000 has 160 divisors (see below), whose sum is σ = 64977734016000. Its totient is φ = 9577357574400.

The previous prime is 25401234405979. The next prime is 25401234406003. The reversal of 25401234406000 is 60443210452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25401234406003) 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, 5882469 + ... + 9241531.

It is an arithmetic number, because the mean of its divisors is an integer number (406110837600).

Almost surely, 225401234406000 is an apocalyptic number.

25401234406000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25401234406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32488867008000).

25401234406000 is an abundant number, since it is smaller than the sum of its proper divisors (39576499610000).

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

25401234406000 is a wasteful number, since it uses less digits than its factorization.

25401234406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359304 (or 3359288 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 25401234406000 its reverse (60443210452), we get a palindrome (25461677616452).

The spelling of 25401234406000 in words is "twenty-five trillion, four hundred one billion, two hundred thirty-four million, four hundred six thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 199 200 250 304 380 398 400 475 500 760 796 950 995 1000 1520 1592 1900 1990 2000 2375 3184 3781 3800 3980 4750 4975 7562 7600 7960 9500 9950 15124 15920 18905 19000 19900 24875 30248 37810 38000 39800 49750 60496 75620 79600 94525 99500 151240 189050 199000 302480 378100 398000 472625 756200 945250 1512400 1890500 3359063 3781000 6718126 7562000 13436252 16795315 26872504 33590630 53745008 63822197 67181260 83976575 127644394 134362520 167953150 255288788 268725040 319110985 335906300 419882875 510577576 638221970 668453537 671812600 839765750 1021155152 1276443940 1336907074 1343625200 1595554925 1679531500 2552887880 2673814148 3191109850 3342267685 3359063000 5105775760 5347628296 6382219700 6684535370 6718126000 7977774625 10695256592 12700617203 12764439400 13369070740 15955549250 16711338425 25401234406 25528878800 26738141480 31911098500 33422676850 50802468812 53476282960 63503086015 63822197000 66845353700 83556692125 101604937624 127006172030 127644394000 133690707400 167113384250 203209875248 254012344060 267381414800 317515430075 334226768500 508024688120 635030860150 668453537000 1016049376240 1270061720300 1336907074000 1587577150375 2540123440600 3175154300750 5080246881200 6350308601500 12700617203000 25401234406000