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634071251044 = 227113188774869
BaseRepresentation
bin10010011101000011001…
…01110111100001100100
32020121122111220221101001
421032201211313201210
540342034220013134
61203142135243044
763544606464310
oct11164145674144
92217574827331
10634071251044
112249a9766810
12a2a79219484
1347a3c63009a
14229912acb40
15117610e3414
hex93a1977864

634071251044 has 96 divisors (see below), whose sum is σ = 1429683978240. Its totient is φ = 238798972800.

The previous prime is 634071251041. The next prime is 634071251089. The reversal of 634071251044 is 440152170436.

It is a junction number, because it is equal to n+sod(n) for n = 634071250994 and 634071251012.

It is not an unprimeable number, because it can be changed into a prime (634071251041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8431642 + ... + 8506510.

It is an arithmetic number, because the mean of its divisors is an integer number (14892541440).

Almost surely, 2634071251044 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 634071251044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714841989120).

634071251044 is an abundant number, since it is smaller than the sum of its proper divisors (795612727196).

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

634071251044 is a wasteful number, since it uses less digits than its factorization.

634071251044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75809 (or 75807 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

It can be divided in two parts, 634071 and 251044, that added together give a triangular number (885115 = T1330).

The spelling of 634071251044 in words is "six hundred thirty-four billion, seventy-one million, two hundred fifty-one thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 308 341 434 682 868 887 1364 1774 2387 3548 4774 6209 9548 9757 12418 19514 24836 27497 39028 54994 68299 74869 109988 136598 149738 192479 273196 299476 302467 384958 524083 604934 769916 823559 1048166 1209868 1647118 2096332 2117269 2320939 3294236 4234538 4641878 5764913 8469076 9283756 11529826 16246573 23059652 25530329 32493146 51060658 64986292 66408803 102121316 132817606 178712303 265635212 357424606 464861621 714849212 730496833 929723242 1460993666 1859446484 2058672893 2921987332 4117345786 5113477831 8234691572 10226955662 14410710251 20453911324 22645401823 28821420502 45290803646 57642841004 90581607292 158517812761 317035625522 634071251044