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7948970649 = 3211322632
BaseRepresentation
bin1110110011100101…
…11010101010011001
3202111222101112210100
413121302322222121
5112234414030044
63352434010013
7400661064354
oct73162725231
922458345710
107948970649
113409a94334
12165a116909
13998ab7339
145559c329b
15317cba869
hex1d9cbaa99

7948970649 has 27 divisors (see below), whose sum is σ = 11628569407. Its totient is φ = 5232446016.

The previous prime is 7948970639. The next prime is 7948970681. The reversal of 7948970649 is 9460798497.

The square root of 7948970649 is 89157.

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., 140067225 + 7808903424 = 11835^2 + 88368^2 .

It is not a de Polignac number, because 7948970649 - 27 = 7948970521 is a prime.

It is a super-2 number, since 2×79489706492 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7948970639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30224092 + ... + 30224354.

Almost surely, 27948970649 is an apocalyptic number.

7948970649 is the 89157-th square number.

7948970649 is the 44579-th centered octagonal number.

It is an amenable number.

7948970649 is a deficient number, since it is larger than the sum of its proper divisors (3679598758).

7948970649 is an equidigital number, since it uses as much as digits as its factorization.

7948970649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The cubic root of 7948970649 is about 1995.7384802574.

The spelling of 7948970649 in words is "seven billion, nine hundred forty-eight million, nine hundred seventy thousand, six hundred forty-nine".

Divisors: 1 3 9 113 263 339 789 1017 2367 12769 29719 38307 69169 89157 114921 207507 267471 622521 3358247 7816097 10074741 23448291 30224223 70344873 883218961 2649656883 7948970649