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426452892228 = 223311237881983
BaseRepresentation
bin1100011010010101001…
…00101011101001000100
31111202202020100112021000
412031022210223221010
523441333420022403
6523524301253300
742544620526536
oct6151244535104
91452666315230
10426452892228
111549485a3900
126a796264230
13312a2b81cac
14168d74a9856
15b15de0c7a3
hex634a92ba44

426452892228 has 144 divisors (see below), whose sum is σ = 1248113198080. Its totient is φ = 125735353920.

The previous prime is 426452892227. The next prime is 426452892293. The reversal of 426452892228 is 822298254624.

426452892228 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 528 + 92 + 2 + 28 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (426452892221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42525 + ... + 924507.

Almost surely, 2426452892228 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 426452892228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624056599040).

426452892228 is an abundant number, since it is smaller than the sum of its proper divisors (821660305852).

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

426452892228 is a wasteful number, since it uses less digits than its factorization.

426452892228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882055 (or 882036 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 426452892228 in words is "four hundred twenty-six billion, four hundred fifty-two million, eight hundred ninety-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 99 108 111 121 132 148 198 222 242 297 333 363 396 407 444 484 594 666 726 814 999 1089 1188 1221 1332 1452 1628 1998 2178 2442 3267 3663 3996 4356 4477 4884 6534 7326 8954 10989 13068 13431 14652 17908 21978 26862 40293 43956 53724 80586 120879 161172 241758 483516 881983 1763966 2645949 3527932 5291898 7937847 9701813 10583796 15875694 19403626 23813541 29105439 31751388 32633371 38807252 47627082 58210878 65266742 87316317 95254164 97900113 106719943 116421756 130533484 174632634 195800226 213439886 261948951 293700339 320159829 349265268 358967081 391600452 426879772 523897902 587400678 640319658 717934162 881101017 960479487 1047795804 1076901243 1174801356 1280639316 1435868324 1762202034 1920958974 2153802486 2881438461 3230703729 3524404068 3841917948 3948637891 4307604972 5762876922 6461407458 7897275782 9692111187 11525753844 11845913673 12922814916 15794551564 19384222374 23691827346 35537741019 38768444748 47383654692 71075482038 106613223057 142150964076 213226446114 426452892228