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38270705641 = 72279472
BaseRepresentation
bin100011101001000111…
…001001111111101001
310122210011002021121021
4203221013021333221
51111334300040031
625325322012441
72523245426200
oct435107117751
9118704067537
1038270705641
11152598a7653
127500947121
1337bba1a26c
141bd0a5c237
15edec98511
hex8e91c9fe9

38270705641 has 9 divisors (see below), whose sum is σ = 44520577149. Its totient is φ = 32802288204.

The previous prime is 38270705617. The next prime is 38270705657. The reversal of 38270705641 is 14650707283.

The square root of 38270705641 is 195629.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 38270705641 - 27 = 38270705513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38270705611) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1355430 + ... + 1383376.

Almost surely, 238270705641 is an apocalyptic number.

38270705641 is the 195629-th square number.

38270705641 is the 97815-th centered octagonal number.

It is an amenable number.

38270705641 is a deficient number, since it is larger than the sum of its proper divisors (6249871508).

38270705641 is an frugal number, since it uses more digits than its factorization.

38270705641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55908 (or 27954 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 38270705641 in words is "thirty-eight billion, two hundred seventy million, seven hundred five thousand, six hundred forty-one".

Divisors: 1 7 49 27947 195629 1369403 781034809 5467243663 38270705641