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9052236648 = 2334713153511
BaseRepresentation
bin10000110111000111…
…00010101101101000
3212100212101021020000
420123203202231220
5122014333033043
64054124503000
7440215512330
oct103343425550
925325337200
109052236648
11392582a414
1219076aaa60
13b1353c760
1461c3320c0
1537ea992d3
hex21b8e2b68

9052236648 has 160 divisors (see below), whose sum is σ = 31205919360. Its totient is φ = 2387387520.

The previous prime is 9052236647. The next prime is 9052236659. The reversal of 9052236648 is 8466322509.

9052236648 is a `hidden beast` number, since 90 + 522 + 36 + 6 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9052236647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17788 + ... + 135723.

It is an arithmetic number, because the mean of its divisors is an integer number (195036996).

Almost surely, 29052236648 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 9052236648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15602959680).

9052236648 is an abundant number, since it is smaller than the sum of its proper divisors (22153682712).

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

9052236648 is a wasteful number, since it uses less digits than its factorization.

9052236648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153549 (or 153536 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 9052236648 is about 95143.2427868632. The cubic root of 9052236648 is about 2084.1003810068.

The spelling of 9052236648 in words is "nine billion, fifty-two million, two hundred thirty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 252 273 312 324 351 364 378 468 504 546 567 648 702 728 756 819 936 1053 1092 1134 1404 1512 1638 2106 2184 2268 2457 2808 3276 4212 4536 4914 6552 7371 8424 9828 14742 19656 29484 58968 153511 307022 460533 614044 921066 1074577 1228088 1381599 1842132 1995643 2149154 2763198 3223731 3684264 3991286 4144797 4298308 5526396 5986929 6447462 7982572 8289594 8596616 9671193 11052792 11973858 12434391 12894924 13969501 15965144 16579188 17960787 19342386 23947716 24868782 25789848 27939002 29013579 33158376 35921574 38684772 41908503 47895432 49737564 53882361 55878004 58027158 71843148 77369544 83817006 87040737 99475128 107764722 111756008 116054316 125725509 143686296 161647083 167634012 174081474 215529444 232108632 251451018 323294166 335268024 348162948 377176527 431058888 502902036 646588332 696325896 754353054 1005804072 1131529581 1293176664 1508706108 2263059162 3017412216 4526118324 9052236648