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9090562752 = 263227158237
BaseRepresentation
bin10000111011101011…
…01111101011000000
3212110112111102202100
420131311233223000
5122104141002002
64102014150400
7441162336255
oct103565575300
925415442670
109090562752
113945427387
1219184b2400
13b1b46b41b
1462346b42c
1538311a11c
hex21dd6fac0

9090562752 has 84 divisors (see below), whose sum is σ = 26153055136. Its totient is φ = 3018954240.

The previous prime is 9090562727. The next prime is 9090562769. The reversal of 9090562752 is 2572650909.

It is a super-2 number, since 2×90905627522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9090562698 and 9090562707.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126978 + ... + 185214.

Almost surely, 29090562752 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 9090562752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13076527568).

9090562752 is an abundant number, since it is smaller than the sum of its proper divisors (17062492384).

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

9090562752 is a wasteful number, since it uses less digits than its factorization.

9090562752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58526 (or 58513 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 9090562752 is about 95344.4426906991. The cubic root of 9090562752 is about 2087.0375182658.

The spelling of 9090562752 in words is "nine billion, ninety million, five hundred sixty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 271 288 542 576 813 1084 1626 2168 2439 3252 4336 4878 6504 8672 9756 13008 17344 19512 26016 39024 52032 58237 78048 116474 156096 174711 232948 349422 465896 524133 698844 931792 1048266 1397688 1863584 2096532 2795376 3727168 4193064 5590752 8386128 11181504 15782227 16772256 31564454 33544512 47346681 63128908 94693362 126257816 142040043 189386724 252515632 284080086 378773448 505031264 568160172 757546896 1010062528 1136320344 1515093792 2272640688 3030187584 4545281376 9090562752