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9073122632 = 23721722832
BaseRepresentation
bin10000111001100110…
…01101110101001000
3212102022200101101222
420130303031311020
5122040204411012
64100152301212
7440561161400
oct103463156510
925368611358
109073122632
1139365a5362
1219126a1808
13b17973222
1462100b800
15381822972
hex21cccdd48

9073122632 has 108 divisors (see below), whose sum is σ = 21096706905. Its totient is φ = 3646814976.

The previous prime is 9073122599. The next prime is 9073122637. The reversal of 9073122632 is 2362213709.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 8303947876 + 769174756 = 91126^2 + 27734^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=67354.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9073122592 and 9073122601.

It is not an unprimeable number, because it can be changed into a prime (9073122637) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32060363 + ... + 32060645.

Almost surely, 29073122632 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 9073122632

9073122632 is an abundant number, since it is smaller than the sum of its proper divisors (12023584273).

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

9073122632 is a wasteful number, since it uses less digits than its factorization.

9073122632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 9073122632 is about 95252.9402800774. The cubic root of 9073122632 is about 2085.7020128973.

The spelling of 9073122632 in words is "nine billion, seventy-three million, one hundred twenty-two thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 283 289 392 476 566 578 833 952 1132 1156 1666 1981 2023 2264 2312 3332 3962 4046 4811 6664 7924 8092 9622 13867 14161 15848 16184 19244 27734 28322 33677 38488 55468 56644 67354 80089 81787 110936 113288 134708 160178 163574 235739 269416 320356 327148 471478 560623 572509 640712 654296 942956 1121246 1145018 1361513 1885912 2242492 2290036 2723026 3924361 4007563 4484984 4580072 5446052 7848722 8015126 9530591 10892104 15697444 16030252 19061182 23145721 31394888 32060504 38122364 46291442 66714137 76244728 92582884 133428274 162020047 185165768 266856548 324040094 533713096 648080188 1134140329 1296160376 2268280658 4536561316 9073122632