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905143091008 = 26133761482017
BaseRepresentation
bin11010010101111101011…
…10110111111101000000
310012112022222102011202111
431022332232313331000
5104312213112403013
61531452245425104
7122252201220652
oct15127656677500
93175288364674
10905143091008
11319961750232
1212750a70b194
136747c167c20
1431b484946d2
1518828cea73d
hexd2bebb7f40

905143091008 has 112 divisors (see below), whose sum is σ = 2019157977424. Its totient is φ = 399803351040.

The previous prime is 905143090987. The next prime is 905143091059. The reversal of 905143091008 is 800190341509.

It can be written as a sum of positive squares in 8 ways, for example, as 2202237184 + 902940853824 = 46928^2 + 950232^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1636816 + ... + 2118832.

It is an arithmetic number, because the mean of its divisors is an integer number (18028196227).

Almost surely, 2905143091008 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 905143091008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009578988712).

905143091008 is an abundant number, since it is smaller than the sum of its proper divisors (1114014886416).

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

905143091008 is a wasteful number, since it uses less digits than its factorization.

905143091008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482140 (or 482130 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 905143091008 in words is "nine hundred five billion, one hundred forty-three million, ninety-one thousand, eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 61 64 74 104 122 148 208 244 296 416 481 488 592 793 832 962 976 1184 1586 1924 1952 2257 2368 3172 3848 3904 4514 6344 7696 9028 12688 15392 18056 25376 29341 30784 36112 50752 58682 72224 117364 144448 234728 469456 482017 938912 964034 1877824 1928068 3856136 6266221 7712272 12532442 15424544 17834629 25064884 29403037 30849088 35669258 50129768 58806074 71338516 100259536 117612148 142677032 200519072 231850177 235224296 285354064 382239481 401038144 463700354 470448592 570708128 764478962 927400708 940897184 1087912369 1141416256 1528957924 1854801416 1881794368 2175824738 3057915848 3709602832 4351649476 6115831696 7419205664 8703298952 12231663392 14142860797 14838411328 17406597904 24463326784 28285721594 34813195808 56571443188 69626391616 113142886376 226285772752 452571545504 905143091008