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423639963648 = 2113511194073
BaseRepresentation
bin1100010101000101110…
…10001101100000000000
31111111111012022221200000
412022202322031200000
523420103312314043
6522341214400000
742415123163556
oct6124272154000
91444435287600
10423639963648
11153734795a40
126a130200000
1330c45179205
141670ba7bbd6
15b046ebc2d3
hex62a2e8d800

423639963648 has 576 divisors, whose sum is σ = 1457429500800. Its totient is φ = 121589268480.

The previous prime is 423639963613. The next prime is 423639963731. The reversal of 423639963648 is 846369936324.

It is a happy number.

423639963648 is a `hidden beast` number, since 4 + 236 + 39 + 9 + 6 + 364 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4236399636482 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 104009740 + ... + 104013812.

It is an arithmetic number, because the mean of its divisors is an integer number (2530259550).

Almost surely, 2423639963648 is an apocalyptic number.

423639963648 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 423639963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728714750400).

423639963648 is an abundant number, since it is smaller than the sum of its proper divisors (1033789537152).

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

423639963648 is a wasteful number, since it uses less digits than its factorization.

423639963648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140 (or 4108 counting only the distinct ones).

The product of its digits is 120932352, while the sum is 63.

The spelling of 423639963648 in words is "four hundred twenty-three billion, six hundred thirty-nine million, nine hundred sixty-three thousand, six hundred forty-eight".