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201010040457772 = 2272133721311000537
BaseRepresentation
bin101101101101000101001100…
…000011101100101000101100
3222100201101001022221120210211
4231231011030003230220230
5202321322030324122042
61551302423205512204
760224332121461300
oct5555051403545054
9870641038846724
10201010040457772
1159058974576827
121a665113a12664
13882121c73bba0
14378cd1b721d00
151838aec006017
hexb6d14c0eca2c

201010040457772 has 144 divisors (see below), whose sum is σ = 452798850792288. Its totient is φ = 77334869283840.

The previous prime is 201010040457749. The next prime is 201010040457833. The reversal of 201010040457772 is 277754040010102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200401888 + ... + 201402424.

Almost surely, 2201010040457772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201010040457772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226399425396144).

201010040457772 is an abundant number, since it is smaller than the sum of its proper divisors (251788810334516).

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

201010040457772 is a wasteful number, since it uses less digits than its factorization.

201010040457772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002736 (or 1002727 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 40.

Adding to 201010040457772 its reverse (277754040010102), we get a palindrome (478764080467874).

The spelling of 201010040457772 in words is "two hundred one trillion, ten billion, forty million, four hundred fifty-seven thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 37 49 52 74 91 98 148 182 196 259 364 481 518 637 962 1036 1274 1813 1924 2131 2548 3367 3626 4262 6734 7252 8524 13468 14917 23569 27703 29834 47138 55406 59668 78847 94276 104419 110812 157694 193921 208838 315388 387842 417676 551929 775684 1000537 1025011 1103858 1357447 2001074 2050022 2207716 2714894 3863503 4002148 4100044 5429788 7003759 7175077 7727006 13006981 14007518 14350154 15454012 26013962 28015036 28700308 37019869 49026313 50225539 52027924 74039738 91048867 98052626 100451078 148079476 182097734 196105252 200902156 259139083 364195468 481258297 518278166 637342069 962516594 1036556332 1274684138 1813973581 1925033188 2132144347 2549368276 3368808079 3627947162 4264288694 6737616158 7255894324 8528577388 13475232316 14925010429 23581656553 27717876511 29850020858 47163313106 55435753022 59700041716 78889340839 94326626212 104475073003 110871506044 157778681678 194025135577 208950146006 315557363356 388050271154 417900292012 552225385873 776100542308 1025561430907 1104450771746 1358175949039 2051122861814 2208901543492 2716351898078 3865577701111 4102245723628 5432703796156 7178930016349 7731155402222 14357860032698 15462310804444 28715720065396 50252510114443 100505020228886 201010040457772