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10310169040 = 2456710717977
BaseRepresentation
bin10011001101000100…
…01011000111010000
3222121112101212001121
421212202023013100
5132103400402130
64423022412024
7513331663603
oct114642130720
928545355047
1010310169040
114410904666
121bb8a31014
13c84038a52
146db42233a
15405229d7a
hex26688b1d0

10310169040 has 80 divisors (see below), whose sum is σ = 24557660352. Its totient is φ = 4024323072.

The previous prime is 10310169031. The next prime is 10310169041. The reversal of 10310169040 is 4096101301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10310168996 and 10310169014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10310169041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564532 + ... + 582508.

Almost surely, 210310169040 is an apocalyptic number.

10310169040 is a gapful number since it is divisible by the number (10) 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 10310169040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12278830176).

10310169040 is an abundant number, since it is smaller than the sum of its proper divisors (14247491312).

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

10310169040 is a wasteful number, since it uses less digits than its factorization.

10310169040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18164 (or 18158 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 10310169040 in words is "ten billion, three hundred ten million, one hundred sixty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 107 134 214 268 335 428 535 536 670 856 1070 1072 1340 1712 2140 2680 4280 5360 7169 8560 14338 17977 28676 35845 35954 57352 71690 71908 89885 114704 143380 143816 179770 286760 287632 359540 573520 719080 1204459 1438160 1923539 2408918 3847078 4817836 6022295 7694156 9617695 9635672 12044590 15388312 19235390 19271344 24089180 30776624 38470780 48178360 76941560 96356720 128877113 153883120 257754226 515508452 644385565 1031016904 1288771130 2062033808 2577542260 5155084520 10310169040