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36429066496 = 287921512
BaseRepresentation
bin100001111011010101…
…110111000100000000
310111000210201022122001
4201323111313010000
51044101320111441
624422453153344
72426513645644
oct417325670400
9114023638561
1036429066496
11144a4292929
12708802b854
13358730b564
141a98226c24
15e33267731
hex87b577100

36429066496 has 81 divisors (see below), whose sum is σ = 74138901543. Its totient is φ = 17864870400.

The previous prime is 36429066493. The next prime is 36429066551. The reversal of 36429066496 is 69466092463.

The square root of 36429066496 is 190864.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36429066493) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 241252021 + ... + 241252171.

Almost surely, 236429066496 is an apocalyptic number.

36429066496 is the 190864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36429066496

36429066496 is an abundant number, since it is smaller than the sum of its proper divisors (37709835047).

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

36429066496 is an frugal number, since it uses more digits than its factorization.

36429066496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 55.

The spelling of 36429066496 in words is "thirty-six billion, four hundred twenty-nine million, sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 79 128 151 158 256 302 316 604 632 1208 1264 2416 2528 4832 5056 6241 9664 10112 11929 12482 19328 20224 22801 23858 24964 38656 45602 47716 49928 91204 95432 99856 182408 190864 199712 364816 381728 399424 729632 763456 798848 942391 1459264 1526912 1597696 1801279 1884782 2918528 3053824 3602558 3769564 5837056 7205116 7539128 14410232 15078256 28820464 30156512 57640928 60313024 115281856 120626048 142301041 230563712 241252096 284602082 461127424 569204164 1138408328 2276816656 4553633312 9107266624 18214533248 36429066496