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9125084480 = 265113409617
BaseRepresentation
bin10000111111110010…
…11011110101000000
3212112221110022122212
420133321123311000
5122142010200410
64105250121252
7442061636561
oct103771336500
925487408585
109125084480
113962966036
121927b80228
13b25667595
14627c96168
15386188b05
hex21fe5bd40

9125084480 has 112 divisors (see below), whose sum is σ = 22010613840. Its totient is φ = 3603038208.

The previous prime is 9125084467. The next prime is 9125084513. The reversal of 9125084480 is 844805219.

It can be written as a sum of positive squares in 8 ways, for example, as 1801832704 + 7323251776 = 42448^2 + 85576^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14789132 + ... + 14789748.

Almost surely, 29125084480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9125084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11005306920).

9125084480 is an abundant number, since it is smaller than the sum of its proper divisors (12885529360).

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

9125084480 is a wasteful number, since it uses less digits than its factorization.

9125084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The square root of 9125084480 is about 95525.3080602204. The cubic root of 9125084480 is about 2089.6760469483.

Adding to 9125084480 its reverse (844805219), we get a palindrome (9969889699).

The spelling of 9125084480 in words is "nine billion, one hundred twenty-five million, eighty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 160 226 320 409 452 565 617 818 904 1130 1234 1636 1808 2045 2260 2468 3085 3272 3616 4090 4520 4936 6170 6544 7232 8180 9040 9872 12340 13088 16360 18080 19744 24680 26176 32720 36160 39488 46217 49360 65440 69721 92434 98720 130880 139442 184868 197440 231085 252353 278884 348605 369736 462170 504706 557768 697210 739472 924340 1009412 1115536 1261765 1394420 1478944 1848680 2018824 2231072 2523530 2788840 2957888 3697360 4037648 4462144 5047060 5577680 7394720 8075296 10094120 11155360 14789440 16150592 20188240 22310720 28515889 40376480 57031778 80752960 114063556 142579445 228127112 285158890 456254224 570317780 912508448 1140635560 1825016896 2281271120 4562542240 9125084480