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9001415316 = 2233131917583
BaseRepresentation
bin10000110001000011…
…01011001010010100
3212020022202021110110
420120201223022110
5121413330242231
64045111323020
7436030524225
oct103041531224
925208667413
109001415316
1138aa078613
1218b2680470
13b05b5756a
146156a324c
1537a3ab046
hex21886b294

9001415316 has 48 divisors (see below), whose sum is σ = 21690482688. Its totient is φ = 2902389600.

The previous prime is 9001415261. The next prime is 9001415317. The reversal of 9001415316 is 6135141009.

It is a super-2 number, since 2×90014153162 (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 (9001415317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1183261 + ... + 1190843.

It is an arithmetic number, because the mean of its divisors is an integer number (451885056).

Almost surely, 29001415316 is an apocalyptic number.

It is an amenable number.

9001415316 is an abundant number, since it is smaller than the sum of its proper divisors (12689067372).

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

9001415316 is a wasteful number, since it uses less digits than its factorization.

9001415316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10812 (or 10810 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 9001415316 is about 94875.7888820957. The cubic root of 9001415316 is about 2080.1928534819.

The spelling of 9001415316 in words is "nine billion, one million, four hundred fifteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 3191 6382 7583 9573 12764 15166 19146 22749 30332 38292 45498 90996 98921 197842 235073 296763 395684 470146 593526 705219 940292 1187052 1410438 2820876 24197353 48394706 72592059 96789412 145184118 290368236 750117943 1500235886 2250353829 3000471772 4500707658 9001415316