Search a number
-
+
11071465470 = 23251321017207
BaseRepresentation
bin10100100111110100…
…10010011111111110
31001120120220201102200
422103322102133332
5140133243343340
65030335532330
7541234621662
oct122372223776
931516821380
1011071465470
11477160a96a
12218b98a0a6
13107598a200
147705948a2
1544bea9330
hex293e927fe

11071465470 has 144 divisors (see below), whose sum is σ = 31483419552. Its totient is φ = 2697926400.

The previous prime is 11071465469. The next prime is 11071465477. The reversal of 11071465470 is 7456417011.

11071465470 is a `hidden beast` number, since 1 + 1 + 0 + 71 + 46 + 547 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11071465477) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1532607 + ... + 1539813.

It is an arithmetic number, because the mean of its divisors is an integer number (218634858).

Almost surely, 211071465470 is an apocalyptic number.

11071465470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11071465470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15741709776).

11071465470 is an abundant number, since it is smaller than the sum of its proper divisors (20411954082).

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

11071465470 is a wasteful number, since it uses less digits than its factorization.

11071465470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7347 (or 7331 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 11071465470 in words is "eleven billion, seventy-one million, four hundred sixty-five thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 101 117 130 169 195 202 234 303 338 390 505 507 585 606 845 909 1010 1014 1170 1313 1515 1521 1690 1818 2535 2626 3030 3042 3939 4545 5070 6565 7207 7605 7878 9090 11817 13130 14414 15210 17069 19695 21621 23634 34138 36035 39390 43242 51207 59085 64863 72070 85345 93691 102414 108105 118170 129726 153621 170690 187382 216210 256035 281073 307242 324315 468455 512070 562146 648630 727907 768105 843219 936910 1217983 1405365 1455814 1536210 1686438 2183721 2435966 2810730 3639535 3653949 4216095 4367442 6089915 6551163 7279070 7307898 8432190 9462791 10918605 10961847 12179830 13102326 18269745 18925582 21837210 21923694 28388373 32755815 36539490 47313955 54809235 56776746 65511630 85165119 94627910 109618470 123016283 141941865 170330238 246032566 283883730 369048849 425825595 615081415 738097698 851651190 1107146547 1230162830 1845244245 2214293094 3690488490 5535732735 11071465470