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37146242420 = 2257237904329
BaseRepresentation
bin100010100110000101…
…101010110101110100
310112212210012122001022
4202212011222311310
51102033414224140
625021552520312
72453342564600
oct424605526564
9115783178038
1037146242420
11148320a3801
127248250098
13366ca82801
141b25592500
15e761ce0b5
hex8a616ad74

37146242420 has 36 divisors (see below), whose sum is σ = 90742966020. Its totient is φ = 12735854208.

The previous prime is 37146242383. The next prime is 37146242431. The reversal of 37146242420 is 2424264173.

It can be written as a sum of positive squares in 2 ways, for example, as 20256120976 + 16890121444 = 142324^2 + 129962^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 18951185 + ... + 18953144.

It is an arithmetic number, because the mean of its divisors is an integer number (2520637945).

Almost surely, 237146242420 is an apocalyptic number.

It is an amenable number.

37146242420 is an abundant number, since it is smaller than the sum of its proper divisors (53596723600).

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

37146242420 is a wasteful number, since it uses less digits than its factorization.

37146242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37904352 (or 37904343 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The spelling of 37146242420 in words is "thirty-seven billion, one hundred forty-six million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 37904329 75808658 151617316 189521645 265330303 379043290 530660606 758086580 1061321212 1326651515 1857312121 2653303030 3714624242 5306606060 7429248484 9286560605 18573121210 37146242420