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42746669460 = 22355112157463
BaseRepresentation
bin100111110011111001…
…100110100110010100
311002100002101210200000
4213303321212212110
51200021121410320
631345413251300
73042205460325
oct476371464624
9132302353600
1042746669460
1117146420500
12834b933b30
134053129471
1420d72ac44c
1511a2bd9c90
hex9f3e66994

42746669460 has 432 divisors, whose sum is σ = 149065582848. Its totient is φ = 10274584320.

The previous prime is 42746669447. The next prime is 42746669461. The reversal of 42746669460 is 6496664724.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 42746669397 and 42746669406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42746669461) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92325189 + ... + 92325651.

Almost surely, 242746669460 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 42746669460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74532791424).

42746669460 is an abundant number, since it is smaller than the sum of its proper divisors (106318913388).

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

42746669460 is a wasteful number, since it uses less digits than its factorization.

42746669460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 42746669460 in words is "forty-two billion, seven hundred forty-six million, six hundred sixty-nine thousand, four hundred sixty".