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38677619712 = 210331461881
BaseRepresentation
bin100100000001010111…
…011010010000000000
310200211111202122202210
4210001113122100000
51113202432312322
625433535342120
72536316225454
oct440127322000
9120744678683
1038677619712
1115448565176
1275b5081940
13385510c914
141c2cb02664
15101587570c
hex9015da400

38677619712 has 176 divisors, whose sum is σ = 106767327744. Its totient is φ = 12435456000.

The previous prime is 38677619641. The next prime is 38677619797. The reversal of 38677619712 is 21791677683.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43901512 + ... + 43902392.

It is an arithmetic number, because the mean of its divisors is an integer number (606632544).

Almost surely, 238677619712 is an apocalyptic number.

38677619712 is a gapful number since it is divisible by the number (32) 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 38677619712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53383663872).

38677619712 is an abundant number, since it is smaller than the sum of its proper divisors (68089708032).

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

38677619712 is a wasteful number, since it uses less digits than its factorization.

38677619712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1378 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 57.

The spelling of 38677619712 in words is "thirty-eight billion, six hundred seventy-seven million, six hundred nineteen thousand, seven hundred twelve".