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37343444130 = 232529311034481
BaseRepresentation
bin100010110001110101…
…111011110010100010
310120101112021111221100
4202301311323302202
51102434410203010
625053315335230
72461256015646
oct426165736242
9116345244840
1037343444130
1114923445323
1272a22b1516
1336a189a205
141b43846c26
15e886842c0
hex8b1d7bca2

37343444130 has 192 divisors, whose sum is σ = 104710993920. Its totient is φ = 9212313600.

The previous prime is 37343444093. The next prime is 37343444137. The reversal of 37343444130 is 3144434373.

It is not an unprimeable number, because it can be changed into a prime (37343444137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8331490 + ... + 8335970.

It is an arithmetic number, because the mean of its divisors is an integer number (545369760).

Almost surely, 237343444130 is an apocalyptic number.

37343444130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 37343444130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52355496960).

37343444130 is an abundant number, since it is smaller than the sum of its proper divisors (67367549790).

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

37343444130 is a wasteful number, since it uses less digits than its factorization.

37343444130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4657 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 37343444130 in words is "thirty-seven billion, three hundred forty-three million, four hundred forty-four thousand, one hundred thirty".