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20353952322 = 23411210192
BaseRepresentation
bin10010111101001100…
…001010101001000010
31221112111112220120000
4102331030022221002
5313141102433242
613203411500430
71320250511604
oct227514125102
957474486500
1020353952322
1186a5303700
123b405b7716
131bc4b15a92
14db1301174
157e1d85a4c
hex4bd30aa42

20353952322 has 90 divisors (see below), whose sum is σ = 50180275299. Its totient is φ = 6161811480.

The previous prime is 20353952291. The next prime is 20353952323. The reversal of 20353952322 is 22325935302.

20353952322 is a `hidden beast` number, since 2 + 0 + 35 + 395 + 232 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10176976161 + 10176976161 = 100881^2 + 100881^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=100881.

It is not an unprimeable number, because it can be changed into a prime (20353952323) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19973929 + ... + 19974947.

Almost surely, 220353952322 is an apocalyptic number.

20353952322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20353952322

20353952322 is an abundant number, since it is smaller than the sum of its proper divisors (29826322977).

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

20353952322 is an equidigital number, since it uses as much as digits as its factorization.

20353952322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 20353952322 in words is "twenty billion, three hundred fifty-three million, nine hundred fifty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 594 726 891 1019 1089 1782 2038 2178 3057 3267 6114 6534 9171 9801 11209 18342 19602 22418 27513 33627 55026 67254 82539 100881 123299 165078 201762 246598 302643 369897 605286 739794 907929 1038361 1109691 1815858 2076722 2219382 3115083 3329073 6230166 6658146 9345249 9987219 11421971 18690498 19974438 22843942 28035747 34265913 56071494 68531826 84107241 102797739 125641681 168214482 205595478 251283362 308393217 376925043 616786434 753850086 925179651 1130775129 1850359302 2261550258 3392325387 6784650774 10176976161 20353952322