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37423321728 = 2731319571691
BaseRepresentation
bin100010110110100110…
…101001001010000000
310120121002120201101220
4202312212221022000
51103120332243403
625105251355040
72463245662152
oct426646511200
9116532521356
1037423321728
1114964542571
127304bb2a80
1336b52b6970
141b502baad2
15e906b1953
hex8b69a9280

37423321728 has 256 divisors, whose sum is σ = 113047334400. Its totient is φ = 10873958400.

The previous prime is 37423321703. The next prime is 37423321801. The reversal of 37423321728 is 82712332473.

It is a self number, because there is not a number n which added to its sum of digits gives 37423321728.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54157863 + ... + 54158553.

It is an arithmetic number, because the mean of its divisors is an integer number (441591150).

Almost surely, 237423321728 is an apocalyptic number.

37423321728 is a gapful number since it is divisible by the number (38) 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 37423321728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56523667200).

37423321728 is an abundant number, since it is smaller than the sum of its proper divisors (75624012672).

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

37423321728 is a wasteful number, since it uses less digits than its factorization.

37423321728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1299 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The spelling of 37423321728 in words is "thirty-seven billion, four hundred twenty-three million, three hundred twenty-one thousand, seven hundred twenty-eight".