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423051285921408 = 27322389491365377
BaseRepresentation
bin110000000110000110100110…
…1100111100111111010000000
32001110220022022111111122102100
41200030031031213213322000
5420422233013143441113
64055431024443550400
7155052306146240154
oct14014151547477200
92043808274448370
10423051285921408
11112885051a84221
123b54620b82b400
131520974664a231
147667b11bc7064
1533d9804e0bd73
hex180c34d9e7e80

423051285921408 has 384 divisors, whose sum is σ = 1287196294550400. Its totient is φ = 133098350837760.

The previous prime is 423051285921367. The next prime is 423051285921457. The reversal of 423051285921408 is 804129582150324.

423051285921408 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 5 + 1 + 2 + 8 + 592 + 1 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1157666016 + ... + 1158031392.

It is an arithmetic number, because the mean of its divisors is an integer number (3352073683725).

Almost surely, 2423051285921408 is an apocalyptic number.

423051285921408 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 423051285921408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643598147275200).

423051285921408 is an abundant number, since it is smaller than the sum of its proper divisors (864145008628992).

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

423051285921408 is a wasteful number, since it uses less digits than its factorization.

423051285921408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366000 (or 365985 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 423051285921408 in words is "four hundred twenty-three trillion, fifty-one billion, two hundred eighty-five million, nine hundred twenty-one thousand, four hundred eight".