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422543642688 = 2633498749033
BaseRepresentation
bin1100010011000011001…
…00000101000001000000
31111101122210102002001000
412021201210011001000
523410332133031223
6522040332412000
742346011462546
oct6114144050100
91441583362030
10422543642688
11153221963862
1269a85017000
1330acbcb5c9b
1416646219d96
15aed0b11543
hex6261905040

422543642688 has 112 divisors (see below), whose sum is σ = 1242474487360. Its totient is φ = 140816765952.

The previous prime is 422543642683. The next prime is 422543642693. The reversal of 422543642688 is 886246345224.

422543642688 is a `hidden beast` number, since 4 + 2 + 254 + 364 + 26 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (422543642683) and next prime (422543642693).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (422543642683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8593020 + ... + 8642052.

Almost surely, 2422543642688 is an apocalyptic number.

422543642688 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 422543642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621237243680).

422543642688 is an abundant number, since it is smaller than the sum of its proper divisors (819930844672).

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

422543642688 is a wasteful number, since it uses less digits than its factorization.

422543642688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54041 (or 54025 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 54.

The spelling of 422543642688 in words is "four hundred twenty-two billion, five hundred forty-three million, six hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 4987 9974 14961 19948 29922 39896 44883 49033 59844 79792 89766 98066 119688 134649 147099 159584 179532 196132 239376 269298 294198 319168 359064 392264 441297 478752 538596 588396 718128 784528 882594 957504 1077192 1176792 1323891 1436256 1569056 1765188 2154384 2353584 2647782 2872512 3138112 3530376 4308768 4707168 5295564 7060752 8617536 9414336 10591128 14121504 21182256 28243008 42364512 84729024 244527571 489055142 733582713 978110284 1467165426 1956220568 2200748139 2934330852 3912441136 4401496278 5868661704 6602244417 7824882272 8802992556 11737323408 13204488834 15649764544 17605985112 23474646816 26408977668 35211970224 46949293632 52817955336 70423940448 105635910672 140847880896 211271821344 422543642688