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42532994700 = 223115274
BaseRepresentation
bin100111100111001010…
…011111111010001100
311001210012100000000000
4213213022133322030
51144101421312300
631312301404300
73034002330000
oct474712377214
9131705300000
1042532994700
1117046848499
1282b0269690
13401aa94ab1
1420b6b6a700
15118e07dc00
hex9e729fe8c

42532994700 has 540 divisors, whose sum is σ = 161509133240. Its totient is φ = 9721827360.

The previous prime is 42532994683. The next prime is 42532994729. The reversal of 42532994700 is 749923524.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42532994700 is a `hidden beast` number, since 42 + 53 + 2 + 99 + 470 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6076142097 + ... + 6076142103.

Almost surely, 242532994700 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 42532994700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80754566620).

42532994700 is an abundant number, since it is smaller than the sum of its proper divisors (118976138540).

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

42532994700 is an frugal number, since it uses more digits than its factorization.

42532994700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 42532994700 in words is "forty-two billion, five hundred thirty-two million, nine hundred ninety-four thousand, seven hundred".