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37684036140 = 22353591749491
BaseRepresentation
bin100011000110001001…
…001100001000101100
310121021021011101100020
4203012021030020230
51104134103124030
625151203402140
72502563010402
oct430611141054
9117237141306
1037684036140
1114a88724123
127378383350
13372730b14a
141b76b85472
15ea8510510
hex8c624c22c

37684036140 has 48 divisors (see below), whose sum is σ = 105809276160. Its totient is φ = 10021078720.

The previous prime is 37684036123. The next prime is 37684036147. The reversal of 37684036140 is 4163048673.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 37684036092 and 37684036101.

It is not an unprimeable number, because it can be changed into a prime (37684036147) 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 15 ways as a sum of consecutive naturals, for example, 853206 + ... + 896285.

It is an arithmetic number, because the mean of its divisors is an integer number (2204359920).

Almost surely, 237684036140 is an apocalyptic number.

37684036140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

37684036140 is an abundant number, since it is smaller than the sum of its proper divisors (68125240020).

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

37684036140 is a wasteful number, since it uses less digits than its factorization.

37684036140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749862 (or 1749860 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 37684036140 in words is "thirty-seven billion, six hundred eighty-four million, thirty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 359 718 1077 1436 1795 2154 3590 4308 5385 7180 10770 21540 1749491 3498982 5248473 6997964 8747455 10496946 17494910 20993892 26242365 34989820 52484730 104969460 628067269 1256134538 1884201807 2512269076 3140336345 3768403614 6280672690 7536807228 9421009035 12561345380 18842018070 37684036140