Search a number
-
+
42425098848 = 25321159353643
BaseRepresentation
bin100111100000101110…
…111010001001100000
311001111200022022201100
4213200232322021200
51143341311130343
631253445034400
73031222250556
oct474056721140
9131450268640
1042425098848
1116aa0953770
1282800b5a00
1340016183b2
1420a66c1bd6
1511848699d3
hex9e0bba260

42425098848 has 288 divisors, whose sum is σ = 134432887680. Its totient is φ = 12582789120.

The previous prime is 42425098831. The next prime is 42425098871. The reversal of 42425098848 is 84889052424.

42425098848 is a `hidden beast` number, since 424 + 2 + 50 + 98 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 42425098794 and 42425098803.

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, 65979615 + ... + 65980257.

It is an arithmetic number, because the mean of its divisors is an integer number (466780860).

Almost surely, 242425098848 is an apocalyptic number.

42425098848 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 42425098848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67216443840).

42425098848 is an abundant number, since it is smaller than the sum of its proper divisors (92007788832).

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

42425098848 is a wasteful number, since it uses less digits than its factorization.

42425098848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 42425098848 in words is "forty-two billion, four hundred twenty-five million, ninety-eight thousand, eight hundred forty-eight".