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455540822208 = 2634208142227
BaseRepresentation
bin1101010000100000101…
…10010101000011000000
31121112211102102110210000
412220100112111003000
524430421422302313
6545134512440000
744624504046243
oct6502026250300
91545742373700
10455540822208
11166214a1115a
1274353849000
1333c5a2b5894
141809673525a
15bcb2923673
hex6a105950c0

455540822208 has 140 divisors (see below), whose sum is σ = 1351046601432. Its totient is φ = 151770378240.

The previous prime is 455540822207. The next prime is 455540822221. The reversal of 455540822208 is 802228045554.

455540822208 is a `hidden beast` number, since 4 + 5 + 5 + 540 + 82 + 2 + 20 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (455540822207) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 10766791 + ... + 10809017.

Almost surely, 2455540822208 is an apocalyptic number.

455540822208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455540822208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675523300716).

455540822208 is an abundant number, since it is smaller than the sum of its proper divisors (895505779224).

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

455540822208 is a wasteful number, since it uses less digits than its factorization.

455540822208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44332 (or 44313 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 45.

The spelling of 455540822208 in words is "four hundred fifty-five billion, five hundred forty million, eight hundred twenty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2081 2592 4162 5184 6243 8324 12486 16648 18729 24972 33296 37458 42227 49944 56187 66592 74916 84454 99888 112374 126681 133184 149832 168561 168908 199776 224748 253362 299664 337122 337816 380043 399552 449496 506724 599328 674244 675632 760086 898992 1013448 1140129 1198656 1348488 1351264 1520172 1797984 2026896 2280258 2696976 2702528 3040344 3420387 3595968 4053792 4560516 5393952 6080688 6840774 8107584 9121032 10787904 12161376 13681548 18242064 24322752 27363096 36484128 54726192 72968256 87874387 109452384 175748774 218904768 263623161 351497548 527246322 702995096 790869483 1054492644 1405990192 1581738966 2108985288 2372608449 2811980384 3163477932 4217970576 4745216898 5623960768 6326955864 7117825347 8435941152 9490433796 12653911728 14235650694 16871882304 18980867592 25307823456 28471301388 37961735184 50615646912 56942602776 75923470368 113885205552 151846940736 227770411104 455540822208