Search a number
-
+
420994796544 = 2103475313681
BaseRepresentation
bin1100010000001010011…
…11101100110000000000
31111020122211222112120000
412020011033230300000
523344144131442134
6521222523320000
742262433504250
oct6100517546000
91436584875500
10420994796544
111525a7650823
1269712380000
133091315088a
141653a63d960
15ae3eb68e99
hex62053ecc00

420994796544 has 440 divisors, whose sum is σ = 1463984726688. Its totient is φ = 118006087680.

The previous prime is 420994796543. The next prime is 420994796603. The reversal of 420994796544 is 445697499024.

420994796544 is a `hidden beast` number, since 4 + 20 + 99 + 479 + 6 + 54 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (420994796543) 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, 30765384 + ... + 30779064.

Almost surely, 2420994796544 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 420994796544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731992363344).

420994796544 is an abundant number, since it is smaller than the sum of its proper divisors (1042989930144).

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

420994796544 is a wasteful number, since it uses less digits than its factorization.

420994796544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13773 (or 13746 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 420994796544 in words is "four hundred twenty billion, nine hundred ninety-four million, seven hundred ninety-six thousand, five hundred forty-four".