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9013793481 = 34721121372
BaseRepresentation
bin10000110010100001…
…11001001011001001
3212021012001011010000
420121100321023021
5121430012342411
64050232513213
7436240660200
oct103120711311
925235034100
109013793481
113906062500
1218b684b809
13b0859c714
146171a6237
1537b503956
hex2194392c9

9013793481 has 135 divisors (see below), whose sum is σ = 17343410007. Its totient is φ = 4648311360.

The previous prime is 9013793473. The next prime is 9013793483. The reversal of 9013793481 is 1843973109.

The square root of 9013793481 is 94941.

It is a perfect power (a square), and thus also a powerful number.

9013793481 is a `hidden beast` number, since 90 + 13 + 79 + 3 + 481 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5294745225 + 3719048256 = 72765^2 + 60984^2 .

It is not a de Polignac number, because 9013793481 - 23 = 9013793473 is a prime.

It is a super-2 number, since 2×90137934812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9013793483) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 65794045 + ... + 65794181.

Almost surely, 29013793481 is an apocalyptic number.

9013793481 is the 94941-st square number.

9013793481 is the 47471-st centered octagonal number.

It is an amenable number.

9013793481 is a deficient number, since it is larger than the sum of its proper divisors (8329616526).

9013793481 is a wasteful number, since it uses less digits than its factorization.

9013793481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The cubic root of 9013793481 is about 2081.1459323665.

The spelling of 9013793481 in words is "nine billion, thirteen million, seven hundred ninety-three thousand, four hundred eighty-one".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 121 137 147 189 231 297 363 411 441 539 567 693 847 891 959 1089 1233 1323 1507 1617 2079 2541 2877 3267 3699 3969 4521 4851 5929 6237 6713 7623 8631 9801 10549 11097 13563 14553 16577 17787 18769 20139 22869 25893 31647 40689 43659 49731 53361 56307 60417 68607 73843 77679 94941 116039 122067 131383 149193 160083 168921 181251 206459 221529 284823 348117 394149 447579 480249 506763 543753 619377 664587 812273 854469 919681 1044351 1182447 1342737 1445213 1520289 1858131 1993761 2271049 2436819 2759043 3133053 3547341 4335639 5574393 5981283 6813147 7310457 8277129 9399159 10116491 10642023 13006917 15897343 16723179 20439441 21931371 24831387 30349473 39020751 47692029 61318323 65794113 74494161 91048419 111281401 117062253 143076087 183954969 273145257 333844203 429228261 819435771 1001532609 1287684783 3004597827 9013793481