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10816922592 = 2532710934909
BaseRepresentation
bin10100001001011110…
…10010001111100000
31000220211221121020200
422010233102033200
5134123113010332
64545204105200
7532024216320
oct120457221740
930824847220
1010816922592
114650964053
12211a695200
131035016b18
14748855280
1543497917c
hex284bd23e0

10816922592 has 144 divisors (see below), whose sum is σ = 35194330080. Its totient is φ = 3087092736.

The previous prime is 10816922591. The next prime is 10816922617. The reversal of 10816922592 is 29522961801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×108169225922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10816922591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2201034 + ... + 2205942.

It is an arithmetic number, because the mean of its divisors is an integer number (244405070).

Almost surely, 210816922592 is an apocalyptic number.

10816922592 is a gapful number since it is divisible by the number (12) 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 10816922592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17597165040).

10816922592 is an abundant number, since it is smaller than the sum of its proper divisors (24377407488).

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

10816922592 is a wasteful number, since it uses less digits than its factorization.

10816922592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6025 (or 6014 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10816922592 in words is "ten billion, eight hundred sixteen million, nine hundred twenty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1093 2016 2186 3279 4372 4909 6558 7651 8744 9818 9837 13116 14727 15302 17488 19636 19674 22953 26232 29454 30604 34363 34976 39272 39348 44181 45906 52464 58908 61208 68726 68859 78544 78696 88362 91812 103089 104928 117816 122416 137452 137718 157088 157392 176724 183624 206178 235632 244832 274904 275436 309267 314784 353448 367248 412356 471264 549808 550872 618534 706896 734496 824712 1099616 1101744 1237068 1413792 1649424 2203488 2474136 3298848 4948272 5365537 9896544 10731074 16096611 21462148 32193222 37558759 42924296 48289833 64386444 75117518 85848592 96579666 112676277 128772888 150235036 171697184 193159332 225352554 257545776 300470072 338028831 386318664 450705108 515091552 600940144 676057662 772637328 901410216 1201880288 1352115324 1545274656 1802820432 2704230648 3605640864 5408461296 10816922592