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1025542426632 = 2331722982313337
BaseRepresentation
bin11101110110001110001…
…01111001000000001000
310122001002211000010202020
432323013011321000020
5113300302330123012
62103043325204440
7134043616540113
oct16730705710010
93561084003666
101025542426632
11365a25a67099
12146910100720
1375928cc0359
14378ca86b57a
151ba23d82a8c
hexeec7179008

1025542426632 has 128 divisors (see below), whose sum is σ = 2730043180800. Its totient is φ = 319920611328.

The previous prime is 1025542426631. The next prime is 1025542426673. The reversal of 1025542426632 is 2366242455201.

It is a super-2 number, since 2×10255424266322 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1025542426631) 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, 76887868 + ... + 76901204.

It is an arithmetic number, because the mean of its divisors is an integer number (21328462350).

Almost surely, 21025542426632 is an apocalyptic number.

1025542426632 is a gapful number since it is divisible by the number (12) 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 1025542426632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365021590400).

1025542426632 is an abundant number, since it is smaller than the sum of its proper divisors (1704500754168).

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

1025542426632 is a wasteful number, since it uses less digits than its factorization.

1025542426632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14415 (or 14411 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 1025542426632 in words is "one trillion, twenty-five billion, five hundred forty-two million, four hundred twenty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 229 408 458 687 823 916 1374 1646 1832 2469 2748 3292 3893 4938 5496 6584 7786 9876 11679 13337 13991 15572 19752 23358 26674 27982 31144 40011 41973 46716 53348 55964 80022 83946 93432 106696 111928 160044 167892 188467 226729 320088 335784 376934 453458 565401 680187 753868 906916 1130802 1360374 1507736 1813832 2261604 2720748 3054173 3203939 4523208 5441496 6108346 6407878 9162519 9611817 10976351 12216692 12815756 18325038 19223634 21952702 24433384 25631512 32929053 36650076 38447268 43905404 51920941 65858106 73300152 76894536 87810808 103841882 131716212 155762823 186597967 207683764 263432424 311525646 373195934 415367528 559793901 623051292 746391868 1119587802 1246102584 1492783736 2239175604 2513584379 4478351208 5027168758 7540753137 10054337516 15081506274 20108675032 30163012548 42730934443 60326025096 85461868886 128192803329 170923737772 256385606658 341847475544 512771213316 1025542426632