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452700418048 = 2121941913883
BaseRepresentation
bin1101001011001110000…
…11000011000000000000
31121021111110200222202221
412211213003003000000
524404112301334143
6543545005020424
744464224030454
oct6454703030000
91537443628687
10452700418048
11164a976474aa
12738a0554714
13338c69acb68
1417ca73d4664
15bb983a72ed
hex69670c3000

452700418048 has 104 divisors (see below), whose sum is σ = 955280289600. Its totient is φ = 213909848064.

The previous prime is 452700418031. The next prime is 452700418061. The reversal of 452700418048 is 840814007254.

It is a junction number, because it is equal to n+sod(n) for n = 452700417995 and 452700418013.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 32601315 + ... + 32615197.

It is an arithmetic number, because the mean of its divisors is an integer number (9185387400).

Almost surely, 2452700418048 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 452700418048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477640144800).

452700418048 is an abundant number, since it is smaller than the sum of its proper divisors (502579871552).

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

452700418048 is a wasteful number, since it uses less digits than its factorization.

452700418048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14345 (or 14323 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 43.

The spelling of 452700418048 in words is "four hundred fifty-two billion, seven hundred million, four hundred eighteen thousand, forty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 419 512 608 838 1024 1216 1676 2048 2432 3352 4096 4864 6704 7961 9728 13408 13883 15922 19456 26816 27766 31844 38912 53632 55532 63688 77824 107264 111064 127376 214528 222128 254752 263777 429056 444256 509504 527554 858112 888512 1019008 1055108 1716224 1777024 2038016 2110216 3554048 4076032 4220432 5816977 7108096 8152064 8440864 11633954 14216192 16304128 16881728 23267908 28432384 32608256 33763456 46535816 56864768 67526912 93071632 110522563 135053824 186143264 221045126 270107648 372286528 442090252 540215296 744573056 884180504 1080430592 1489146112 1768361008 2978292224 3536722016 5956584448 7073444032 11913168896 14146888064 23826337792 28293776128 56587552256 113175104512 226350209024 452700418048