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37414111680 = 2633511393667
BaseRepresentation
bin100010110110000011…
…100000100111000000
310120120110020210121000
4202312003200213000
51103111003033210
625104322132000
72463104462541
oct426603404700
9116513223530
1037414111680
111495a321960
127301ab1000
1336b341082a
141b4cda04c8
15e8e992ac0
hex8b60e09c0

37414111680 has 224 divisors, whose sum is σ = 143988007680. Its totient is φ = 9070064640.

The previous prime is 37414111667. The next prime is 37414111681. The reversal of 37414111680 is 8611141473.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37414111681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101794 + ... + 291873.

Almost surely, 237414111680 is an apocalyptic number.

37414111680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

37414111680 is an abundant number, since it is smaller than the sum of its proper divisors (106573896000).

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

37414111680 is a wasteful number, since it uses less digits than its factorization.

37414111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393704 (or 393688 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 37414111680 in words is "thirty-seven billion, four hundred fourteen million, one hundred eleven thousand, six hundred eighty".