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42995647200 = 25352111985717
BaseRepresentation
bin101000000010101111…
…011000001011100000
311002222102220011220210
4220002233120023200
51201023341202300
631430225534120
73051320654052
oct500257301340
9132872804823
1042995647200
1117263a16130
1283bb1a4340
1340928a177c
14211c39d8d2
1511b99bb050
hexa02bd82e0

42995647200 has 288 divisors, whose sum is σ = 160710963840. Its totient is φ = 9874483200.

The previous prime is 42995647171. The next prime is 42995647249. The reversal of 42995647200 is 274659924.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42995647200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458742 + ... + 544458.

It is an arithmetic number, because the mean of its divisors is an integer number (558024180).

Almost surely, 242995647200 is an apocalyptic number.

42995647200 is a gapful number since it is divisible by the number (40) 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 42995647200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80355481920).

42995647200 is an abundant number, since it is smaller than the sum of its proper divisors (117715316640).

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

42995647200 is a wasteful number, since it uses less digits than its factorization.

42995647200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85770 (or 85757 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 42995647200 in words is "forty-two billion, nine hundred ninety-five million, six hundred forty-seven thousand, two hundred".