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42497454057408 = 2633743734992243
BaseRepresentation
bin10011010100110101101011…
…01001110010011111000000
312120110201100122100021212000
421222122311221302133000
521032234241214314113
6230215021052104000
711644224346214130
oct1152326551623700
9176421318307760
1042497454057408
11125a50839aaa69
12492435b465000
131a93653682a9c
14a6cc5ddbcac0
154da6ca079373
hex26a6b5a727c0

42497454057408 has 896 divisors, whose sum is σ = 148467348480000. Its totient is φ = 11668646191104.

The previous prime is 42497454057403. The next prime is 42497454057419. The reversal of 42497454057408 is 80475045479424.

42497454057408 is a `hidden beast` number, since 4 + 2 + 4 + 9 + 7 + 4 + 54 + 0 + 574 + 0 + 8 = 666.

42497454057408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×424974540574083 (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42497454057403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18946701535 + ... + 18946703777.

Almost surely, 242497454057408 is an apocalyptic number.

42497454057408 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 42497454057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74233674240000).

42497454057408 is an abundant number, since it is smaller than the sum of its proper divisors (105969894422592).

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

42497454057408 is a wasteful number, since it uses less digits than its factorization.

42497454057408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 42497454057408 in words is "forty-two trillion, four hundred ninety-seven billion, four hundred fifty-four million, fifty-seven thousand, four hundred eight".