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42953319900 = 22345216332533
BaseRepresentation
bin101000000000001101…
…111010010111011100
311002212111020201210000
4220000031322113130
51200432022214100
631422114414300
73050265123621
oct500015722734
9132774221700
1042953319900
1117242035a97
1283a8b91390
134086ba182a
142116902348
1511b5e09900
hexa0037a5dc

42953319900 has 180 divisors, whose sum is σ = 140096219032. Its totient is φ = 11383597440.

The previous prime is 42953319887. The next prime is 42953319901. The reversal of 42953319900 is 991335924.

42953319900 is a `hidden beast` number, since 4 + 29 + 533 + 1 + 9 + 90 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42953319901) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1304034 + ... + 1336566.

Almost surely, 242953319900 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 42953319900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70048109516).

42953319900 is an abundant number, since it is smaller than the sum of its proper divisors (97142899132).

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

42953319900 is a wasteful number, since it uses less digits than its factorization.

42953319900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32722 (or 32706 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 42953319900 in words is "forty-two billion, nine hundred fifty-three million, three hundred nineteen thousand, nine hundred".