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38948601316 = 2210129772
BaseRepresentation
bin100100010001100001…
…000111110111100100
310201112101122221122111
4210101201013313210
51114231320220231
625520455410404
72546116435342
oct442141076744
9121471587574
1038948601316
1115577519709
12766b983a04
1338992ba471
141c56ac0992
15102e5514b1
hex911847de4

38948601316 has 27 divisors (see below), whose sum is σ = 68912120347. Its totient is φ = 19261750400.

The previous prime is 38948601193. The next prime is 38948601317. The reversal of 38948601316 is 61310684983.

The square root of 38948601316 is 197354.

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

It can be written as a sum of positive squares in 4 ways, for example, as 31396296100 + 7552305216 = 177190^2 + 86904^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38948601316.

It is not an unprimeable number, because it can be changed into a prime (38948601317) 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, 39865020 + ... + 39865996.

Almost surely, 238948601316 is an apocalyptic number.

38948601316 is the 197354-th square number.

It is an amenable number.

38948601316 is a deficient number, since it is larger than the sum of its proper divisors (29963519031).

38948601316 is an frugal number, since it uses more digits than its factorization.

38948601316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

Multiplying 38948601316 by its sum of digits (49), we get a square (1908481464484 = 13814782).

The spelling of 38948601316 in words is "thirty-eight billion, nine hundred forty-eight million, six hundred one thousand, three hundred sixteen".

Divisors: 1 2 4 101 202 404 977 1954 3908 10201 20402 40804 98677 197354 394708 954529 1909058 3818116 9966377 19932754 39865508 96407429 192814858 385629716 9737150329 19474300658 38948601316