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188046251449 = 72619492
BaseRepresentation
bin1010111100100001101…
…1100001010110111001
3122222101021012100012121
42233020123201112321
511040104320021244
6222215351441241
716404650523100
oct2571033412671
9588337170177
10188046251449
117282822aa71
1230540386221
131496a92c794
14915c6a3037
154d58cdcc84
hex2bc86e15b9

188046251449 has 9 divisors (see below), whose sum is σ = 218751211407. Its totient is φ = 161179899384.

The previous prime is 188046251443. The next prime is 188046251473. The reversal of 188046251449 is 944152640881.

The square root of 188046251449 is 433643.

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

It can be written as a sum of positive squares in only one way, i.e., 115265003049 + 72781248400 = 339507^2 + 269780^2 .

It is not a de Polignac number, because 188046251449 - 227 = 187912033721 is a prime.

It is a super-2 number, since 2×1880462514492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 188046251396 and 188046251405.

It is not an unprimeable number, because it can be changed into a prime (188046251443) 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, 3004527 + ... + 3066475.

Almost surely, 2188046251449 is an apocalyptic number.

188046251449 is the 433643-rd square number.

188046251449 is the 216822-nd centered octagonal number.

It is an amenable number.

188046251449 is a deficient number, since it is larger than the sum of its proper divisors (30704959958).

188046251449 is an frugal number, since it uses more digits than its factorization.

188046251449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123912 (or 61956 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 188046251449 in words is "one hundred eighty-eight billion, forty-six million, two hundred fifty-one thousand, four hundred forty-nine".

Divisors: 1 7 49 61949 433643 3035501 3837678601 26863750207 188046251449