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423461961936 = 24341361412037
BaseRepresentation
bin1100010100110000100…
…11001100000011010000
31111111000210101112020000
412022120103030003100
523414222230240221
6522311415250000
742410532200256
oct6123023140320
91444023345200
10423461961936
11153653268692
126a0a0679900
1330c17324a60
14166d21845d6
15b03655ae26
hex62984cc0d0

423461961936 has 200 divisors, whose sum is σ = 1341541338984. Its totient is φ = 128159677440.

The previous prime is 423461961931. The next prime is 423461962003. The reversal of 423461961936 is 639169164324.

It is a happy number.

423461961936 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 6 + 19 + 619 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22970433600 + 400491528336 = 151560^2 + 632844^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423461961931) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 821710 + ... + 1233746.

Almost surely, 2423461961936 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 423461961936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670770669492).

423461961936 is an abundant number, since it is smaller than the sum of its proper divisors (918079377048).

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

423461961936 is a wasteful number, since it uses less digits than its factorization.

423461961936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412131 (or 412116 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 423461961936 in words is "four hundred twenty-three billion, four hundred sixty-one million, nine hundred sixty-one thousand, nine hundred thirty-six".