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426923359104 = 27311219734657
BaseRepresentation
bin1100011011001101001…
…11010111101110000000
31111210222000121201111010
412031212213113232000
523443314334442404
6524043105120520
742562362451224
oct6154647275600
91453860551433
10426923359104
1115506a119600
126a8a7929140
1331349496768
141693db74784
15b18a390189
hex63669d7b80

426923359104 has 192 divisors, whose sum is σ = 1247379048720. Its totient is φ = 129277378560.

The previous prime is 426923359081. The next prime is 426923359111. The reversal of 426923359104 is 401953329624.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91671144 + ... + 91675800.

Almost surely, 2426923359104 is an apocalyptic number.

426923359104 is a gapful number since it is divisible by the number (44) 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 426923359104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623689524360).

426923359104 is an abundant number, since it is smaller than the sum of its proper divisors (820455689616).

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

426923359104 is a wasteful number, since it uses less digits than its factorization.

426923359104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6669 (or 6646 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 426923359104 in words is "four hundred twenty-six billion, nine hundred twenty-three million, three hundred fifty-nine thousand, one hundred four".