Search a number
-
+
42371069952 = 211359179653
BaseRepresentation
bin100111011101100000…
…110011100000000000
311001100220122101000010
4213131200303200000
51143233443214302
631244235024520
73026665103121
oct473540634000
9131326571003
1042371069952
1116a73400a92
128265b9b140
133cc337c233
14209d45a048
15117ec4616c
hex9dd833800

42371069952 has 192 divisors, whose sum is σ = 115695216000. Its totient is φ = 13785595904.

The previous prime is 42371069941. The next prime is 42371069989. The reversal of 42371069952 is 25996017324.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64886458 + ... + 64887110.

It is an arithmetic number, because the mean of its divisors is an integer number (602579250).

Almost surely, 242371069952 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 42371069952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57847608000).

42371069952 is an abundant number, since it is smaller than the sum of its proper divisors (73324146048).

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

42371069952 is a wasteful number, since it uses less digits than its factorization.

42371069952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 42371069952 in words is "forty-two billion, three hundred seventy-one million, sixty-nine thousand, nine hundred fifty-two".