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10347490881 = 3971353109
BaseRepresentation
bin10011010001100001…
…00010111001000001
3222201010122000000000
421220300202321001
5132142424202011
64430434350213
7514264135620
oct115060427101
928633560000
1010347490881
11442a986062
12200942b369
13c8b9a5590
147023796b7
1540864d356
hex268c22e41

10347490881 has 160 divisors (see below), whose sum is σ = 19641726720. Its totient is φ = 5305906944.

The previous prime is 10347490871. The next prime is 10347490897. The reversal of 10347490881 is 18809474301.

It is a happy number.

10347490881 is a `hidden beast` number, since 10 + 3 + 474 + 90 + 8 + 81 = 666.

It is not a de Polignac number, because 10347490881 - 27 = 10347490753 is a prime.

It is a super-2 number, since 2×103474908812 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10347490831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 94931055 + ... + 94931163.

It is an arithmetic number, because the mean of its divisors is an integer number (122760792).

Almost surely, 210347490881 is an apocalyptic number.

It is an amenable number.

10347490881 is a deficient number, since it is larger than the sum of its proper divisors (9294235839).

10347490881 is an frugal number, since it uses more digits than its factorization.

10347490881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10347490881 in words is "ten billion, three hundred forty-seven million, four hundred ninety thousand, eight hundred eighty-one".

Divisors: 1 3 7 9 13 21 27 39 53 63 81 91 109 117 159 189 243 273 327 351 371 477 567 689 729 763 819 981 1053 1113 1417 1431 1701 2067 2187 2289 2457 2943 3159 3339 4251 4293 4823 5103 5777 6201 6561 6867 7371 8829 9477 9919 10017 12753 12879 14469 15309 17331 18603 19683 20601 22113 26487 28431 29757 30051 38259 38637 40439 43407 45927 51993 55809 61803 66339 75101 79461 85293 89271 90153 114777 115911 121317 130221 137781 155979 167427 185409 199017 225303 238383 255879 267813 270459 344331 347733 363951 390663 467937 502281 525707 556227 597051 675909 715149 803439 811377 1032993 1043199 1091853 1171989 1403811 1506843 1577121 1668681 1791153 2027727 2145447 2410317 2434131 3098979 3275559 3515967 4211433 4520529 4731363 5006043 6083181 7230951 7302393 9296937 9826677 10547901 12634299 13561587 14194089 15018129 18249543 21692853 27890811 29480031 31643703 37902897 42582267 54748629 65078559 88440093 94931109 113708691 127746801 164245887 195235677 265320279 383240403 492737661 795960837 1149721209 1478212983 3449163627 10347490881