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37066700340 = 22325205926113
BaseRepresentation
bin100010100001010110…
…001111011000110100
310112200020112110211100
4202201112033120310
51101403033402330
625010032010100
72451355516515
oct424126173064
9115606473740
1037066700340
11147a120564a
127225690930
1336594529a7
141b18ba8a0c
15e6e21b060
hex8a158f634

37066700340 has 36 divisors (see below), whose sum is σ = 112435658244. Its totient is φ = 9884453376.

The previous prime is 37066700323. The next prime is 37066700357. The reversal of 37066700340 is 4300766073.

It is an interprime number because it is at equal distance from previous prime (37066700323) and next prime (37066700357).

It can be written as a sum of positive squares in 2 ways, for example, as 29136441636 + 7930258704 = 170694^2 + 89052^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×370667003402 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 37066700295 and 37066700304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102962877 + ... + 102963236.

It is an arithmetic number, because the mean of its divisors is an integer number (3123212729).

Almost surely, 237066700340 is an apocalyptic number.

37066700340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

37066700340 is an abundant number, since it is smaller than the sum of its proper divisors (75368957904).

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

37066700340 is a wasteful number, since it uses less digits than its factorization.

37066700340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205926128 (or 205926123 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 37066700340 in words is "thirty-seven billion, sixty-six million, seven hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 205926113 411852226 617778339 823704452 1029630565 1235556678 1853335017 2059261130 2471113356 3088891695 3706670034 4118522260 6177783390 7413340068 9266675085 12355566780 18533350170 37066700340