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42595833472 = 276126320743
BaseRepresentation
bin100111101010111010…
…001101011010000000
311001221120120112120221
4213222322031122000
51144214013132342
631322424312424
73035364416263
oct475272153200
9131846515527
1042595833472
1117079268165
128309312714
13402aac6bba
1420c1246cda
151194842a67
hex9eae8d680

42595833472 has 64 divisors (see below), whose sum is σ = 86582136960. Its totient is φ = 20868111360.

The previous prime is 42595833439. The next prime is 42595833493. The reversal of 42595833472 is 27433859524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2043133 + ... + 2063875.

It is an arithmetic number, because the mean of its divisors is an integer number (1352845890).

Almost surely, 242595833472 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 42595833472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43291068480).

42595833472 is an abundant number, since it is smaller than the sum of its proper divisors (43986303488).

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

42595833472 is a wasteful number, since it uses less digits than its factorization.

42595833472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21081 (or 21069 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 52.

The spelling of 42595833472 in words is "forty-two billion, five hundred ninety-five million, eight hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 263 488 526 976 1052 1952 2104 3904 4208 7808 8416 16043 16832 20743 32086 33664 41486 64172 82972 128344 165944 256688 331888 513376 663776 1026752 1265323 1327552 2053504 2530646 2655104 5061292 5455409 10122584 10910818 20245168 21821636 40490336 43643272 80980672 87286544 161961344 174573088 332779949 349146176 665559898 698292352 1331119796 2662239592 5324479184 10648958368 21297916736 42595833472