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38988477025 = 521722321012
BaseRepresentation
bin100100010011111001…
…001111001001100001
310201122011200211211121
4210103321033021201
51114322022231100
625524442212241
72550112405141
oct442371171141
9121564624747
1038988477025
1115597a84943
1276811b4081
1338a463c564
141c5c100921
151032ccb51a
hex913e4f261

38988477025 has 81 divisors (see below), whose sum is σ = 54223669003. Its totient is φ = 27801664000.

The previous prime is 38988477013. The next prime is 38988477037. The reversal of 38988477025 is 52077488983.

The square root of 38988477025 is 197455.

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

It is an interprime number because it is at equal distance from previous prime (38988477013) and next prime (38988477037).

It can be written as a sum of positive squares in 13 ways, for example, as 81703521 + 38906773504 = 9039^2 + 197248^2 .

It is not a de Polignac number, because 38988477025 - 25 = 38988476993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 386024475 + ... + 386024575.

Almost surely, 238988477025 is an apocalyptic number.

38988477025 is the 197455-th square number.

38988477025 is the 98728-th centered octagonal number.

It is an amenable number.

38988477025 is a deficient number, since it is larger than the sum of its proper divisors (15235191978).

38988477025 is a wasteful number, since it uses less digits than its factorization.

38988477025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 61.

The spelling of 38988477025 in words is "thirty-eight billion, nine hundred eighty-eight million, four hundred seventy-seven thousand, twenty-five".

Divisors: 1 5 17 23 25 85 101 115 289 391 425 505 529 575 1445 1717 1955 2323 2525 2645 6647 7225 8585 8993 9775 10201 11615 13225 29189 33235 39491 42925 44965 51005 53429 58075 145945 152881 166175 173417 197455 224825 234623 255025 267145 671347 729725 764405 867085 908293 987275 1173115 1335725 2948089 3356735 3822025 3988591 4335425 4541465 5396329 5865575 14740445 15440981 16783675 19942955 22707325 26981645 67806047 73702225 77204905 91737593 99714775 134908225 339030235 386024525 458687965 1559539081 1695151175 2293439825 7797695405 38988477025