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37290289140 = 22365131771163
BaseRepresentation
bin100010101110101011…
…001010011111110100
310120020211020222000000
4202232223022133310
51102332303223030
625044140151300
72460042141066
oct425653123764
9116224228000
1037290289140
11148a643a185
127288538530
133693878a60
141b3a76b736
15e83b84860
hex8aeaca7f4

37290289140 has 672 divisors, whose sum is σ = 136598628096. Its totient is φ = 8465264640.

The previous prime is 37290289117. The next prime is 37290289147. The reversal of 37290289140 is 4198209273.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37290289147) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 228774699 + ... + 228774861.

It is an arithmetic number, because the mean of its divisors is an integer number (203271768).

Almost surely, 237290289140 is an apocalyptic number.

37290289140 is a gapful number since it is divisible by the number (30) 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 37290289140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68299314048).

37290289140 is an abundant number, since it is smaller than the sum of its proper divisors (99308338956).

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

37290289140 is a wasteful number, since it uses less digits than its factorization.

37290289140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 37290289140 in words is "thirty-seven billion, two hundred ninety million, two hundred eighty-nine thousand, one hundred forty".