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37827201996 = 223243213111467
BaseRepresentation
bin100011001110101011…
…010100101111001100
310121122020112221222100
4203032223110233030
51104432230430441
625213320115100
72506251624513
oct431653245714
9117566487870
1037827201996
1115051518811
1273b8305a90
13374ab8647c
141b8bbb167a
15eb5d8ecb6
hex8cead4bcc

37827201996 has 72 divisors (see below), whose sum is σ = 97896903104. Its totient is φ = 12308980320.

The previous prime is 37827201991. The next prime is 37827202009. The reversal of 37827201996 is 69910272873.

It is not an unprimeable number, because it can be changed into a prime (37827201991) by changing a digit.

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, 3293055 + ... + 3304521.

Almost surely, 237827201996 is an apocalyptic number.

37827201996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37827201996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48948451552).

37827201996 is an abundant number, since it is smaller than the sum of its proper divisors (60069701108).

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

37827201996 is a wasteful number, since it uses less digits than its factorization.

37827201996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13651 (or 13646 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 37827201996 in words is "thirty-seven billion, eight hundred twenty-seven million, two hundred one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 2131 4262 6393 8524 11467 12786 19179 22934 25572 34401 38358 45868 68802 76716 91633 103203 137604 183266 206406 274899 366532 412812 493081 549798 824697 986162 1099596 1479243 1649394 1972324 2958486 3298788 4437729 5916972 8875458 17750916 24436177 48872354 73308531 97744708 146617062 219925593 293234124 439851186 879702372 1050755611 2101511222 3152266833 4203022444 6304533666 9456800499 12609067332 18913600998 37827201996