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38771185216 = 2615121632
BaseRepresentation
bin100100000110111100…
…010101011001000000
310201002000211021111211
4210012330111121000
51113400410411331
625451121015504
72541533431261
oct440674253100
9121060737454
1038771185216
1115496361335
127620484594
13386b60c71a
141c3b2da968
15101dba88b1
hex906f15640

38771185216 has 63 divisors (see below), whose sum is σ = 77927523723. Its totient is φ = 19139068800.

The previous prime is 38771185157. The next prime is 38771185217. The reversal of 38771185216 is 61258117783.

The square root of 38771185216 is 196904.

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

It is a Duffinian number.

Its product of digits (564480) is a multiple of the sum of its prime factors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 38771185216.

It is not an unprimeable number, because it can be changed into a prime (38771185217) 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, 237859951 + ... + 237860113.

It is an arithmetic number, because the mean of its divisors is an integer number (1236944821).

Almost surely, 238771185216 is an apocalyptic number.

38771185216 is the 196904-th square number.

It is an amenable number.

38771185216 is an abundant number, since it is smaller than the sum of its proper divisors (39156338507).

38771185216 is an frugal number, since it uses more digits than its factorization.

38771185216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 316 counting only the distinct ones).

The product of its digits is 564480, while the sum is 49.

Multiplying 38771185216 by its sum of digits (49), we get a square (1899788075584 = 13783282).

The spelling of 38771185216 in words is "thirty-eight billion, seven hundred seventy-one million, one hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 151 163 302 326 604 652 1208 1304 2416 2608 4832 5216 9664 10432 22801 24613 26569 45602 49226 53138 91204 98452 106276 182408 196904 212552 364816 393808 425104 729632 787616 850208 1459264 1575232 1700416 3716563 4011919 7433126 8023838 14866252 16047676 29732504 32095352 59465008 64190704 118930016 128381408 237860032 256762816 605799769 1211599538 2423199076 4846398152 9692796304 19385592608 38771185216