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38312717472 = 25363121709
BaseRepresentation
bin100011101011100111…
…011010110010100000
310122220002010201000000
4203223213122302200
51111431023424342
625333422300000
72524265503521
oct435347326240
9118802121000
1038312717472
1115280591777
127512a27600
1337c7639733
141bd6476848
15ee37e644c
hex8eb9daca0

38312717472 has 252 divisors, whose sum is σ = 116924647770. Its totient is φ = 12351709440.

The previous prime is 38312717459. The next prime is 38312717483. The reversal of 38312717472 is 27471721383.

38312717472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 36418378896 + 1894338576 = 190836^2 + 43524^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 22417354 + ... + 22419062.

Almost surely, 238312717472 is an apocalyptic number.

38312717472 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 38312717472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58462323885).

38312717472 is an abundant number, since it is smaller than the sum of its proper divisors (78611930298).

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

38312717472 is an equidigital number, since it uses as much as digits as its factorization.

38312717472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1745 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The spelling of 38312717472 in words is "thirty-eight billion, three hundred twelve million, seven hundred seventeen thousand, four hundred seventy-two".