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38848015801 = 723727612
BaseRepresentation
bin100100001011100001…
…011010110110111001
310201021101101200021001
4210023201122312321
51114030043001201
625502503445001
72543455454200
oct441341326671
9121241350231
1038848015801
1115525768291
127642156761
1338815002ca
141c475ba237
1510257d3301
hex90b85adb9

38848015801 has 27 divisors (see below), whose sum is σ = 46506036717. Its totient is φ = 32355771840.

The previous prime is 38848015781. The next prime is 38848015807. The reversal of 38848015801 is 10851084883.

The square root of 38848015801 is 197099.

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

38848015801 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 4 ways, for example, as 2946861225 + 35901154576 = 54285^2 + 189476^2 .

It is not a de Polignac number, because 38848015801 - 211 = 38848013753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38848015807) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51048261 + ... + 51049021.

Almost surely, 238848015801 is an apocalyptic number.

38848015801 is the 197099-th square number.

38848015801 is the 98550-th centered octagonal number.

It is an amenable number.

38848015801 is a deficient number, since it is larger than the sum of its proper divisors (7658020916).

38848015801 is an frugal number, since it uses more digits than its factorization.

38848015801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 46.

The spelling of 38848015801 in words is "thirty-eight billion, eight hundred forty-eight million, fifteen thousand, eight hundred one".

Divisors: 1 7 37 49 259 761 1369 1813 5327 9583 28157 37289 67081 197099 579121 1041809 1379693 4053847 7292663 21427477 28376929 51048641 149992339 792816649 1049946373 5549716543 38848015801