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37838220084 = 22327178832451
BaseRepresentation
bin100011001111010101…
…010110101100110100
310121200000021201221200
4203033111112230310
51104443041020314
625214352212500
72506444364310
oct431725265464
9117600251850
1037838220084
1115057763875
1273bbb3a130
133750243552
141b8d43cb40
15eb6d19709
hex8cf556b34

37838220084 has 72 divisors (see below), whose sum is σ = 115740451008. Its totient is φ = 10174982400.

The previous prime is 37838220059. The next prime is 37838220137. The reversal of 37838220084 is 48002283873.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4411942 + ... + 4420509.

It is an arithmetic number, because the mean of its divisors is an integer number (1607506264).

Almost surely, 237838220084 is an apocalyptic number.

37838220084 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

37838220084 is an abundant number, since it is smaller than the sum of its proper divisors (77902230924).

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

37838220084 is a wasteful number, since it uses less digits than its factorization.

37838220084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8832485 (or 8832480 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 37838220084 in words is "thirty-seven billion, eight hundred thirty-eight million, two hundred twenty thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 8832451 17664902 26497353 35329804 52994706 61827157 79492059 105989412 123654314 150151667 158984118 185481471 247308628 300303334 317968236 370962942 450455001 556444413 600606668 741925884 900910002 1051061669 1112888826 1351365003 1801820004 2102123338 2225777652 2702730006 3153185007 4204246676 5405460012 6306370014 9459555021 12612740028 18919110042 37838220084