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38371149000 = 23325331831657
BaseRepresentation
bin100011101111000110…
…010100010011001000
310200001011002022222200
4203233012110103020
51112041003232000
625343310520200
72525605246032
oct435706242310
9120034068880
1038371149000
1115300571198
12752a506060
1338067877c2
141c00126c52
15ee89d9500
hex8ef1944c8

38371149000 has 384 divisors, whose sum is σ = 135572935680. Its totient is φ = 9777024000.

The previous prime is 38371148999. The next prime is 38371149077. The reversal of 38371149000 is 94117383.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23156172 + ... + 23157828.

It is an arithmetic number, because the mean of its divisors is an integer number (353054520).

Almost surely, 238371149000 is an apocalyptic number.

38371149000 is a gapful number since it is divisible by the number (30) 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 38371149000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67786467840).

38371149000 is an abundant number, since it is smaller than the sum of its proper divisors (97201786680).

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

38371149000 is a wasteful number, since it uses less digits than its factorization.

38371149000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 38371149000 in words is "thirty-eight billion, three hundred seventy-one million, one hundred forty-nine thousand".