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642404220426 = 232101721348989
BaseRepresentation
bin10010101100100100100…
…01100111111000001010
32021102011020212122101200
421112102101213320022
541011120440023201
61211041051525030
764261242530553
oct11262221477012
92242136778350
10642404220426
11228495486a71
12a4603a59776
1348769b456b7
1423141c8d32a
1511a9c961386
hex9592467e0a

642404220426 has 48 divisors (see below), whose sum is σ = 1405880335080. Its totient is φ = 211980873600.

The previous prime is 642404220421. The next prime is 642404220433. The reversal of 642404220426 is 624022404246.

642404220426 is a `hidden beast` number, since 6 + 4 + 2 + 4 + 0 + 4 + 220 + 426 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 584972577225 + 57431643201 = 764835^2 + 239649^2 .

It is a super-2 number, since 2×6424042204262 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (642404220421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13088740 + ... + 13137728.

Almost surely, 2642404220426 is an apocalyptic number.

642404220426 is an abundant number, since it is smaller than the sum of its proper divisors (763476114654).

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

642404220426 is a wasteful number, since it uses less digits than its factorization.

642404220426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56311 (or 56308 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 642404220426 in words is "six hundred forty-two billion, four hundred four million, two hundred twenty thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 7213 14426 21639 43278 48989 64917 97978 129834 146967 293934 440901 728513 881802 1457026 2185539 4371078 4947889 6556617 9895778 13113234 14843667 29687334 44531001 89062002 353357657 706715314 1060072971 2120145942 3180218913 6360437826 35689123357 71378246714 107067370071 214134740142 321202110213 642404220426