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2929301037 = 331367124561
BaseRepresentation
bin1010111010011001…
…1001011000101101
321120010222220121000
42232212121120231
521444400113122
61202401030513
7132406435155
oct25646313055
97503886530
102929301037
111273572253
12699025439
13378b5c830
141db081765
1512227b0ac
hexae99962d

2929301037 has 32 divisors (see below), whose sum is σ = 4743320960. Its totient is φ = 1775727360.

The previous prime is 2929301033. The next prime is 2929301057. The reversal of 2929301037 is 7301039292.

It is not a de Polignac number, because 2929301037 - 22 = 2929301033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2929300992 and 2929301010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2929301033) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38764 + ... + 85797.

It is an arithmetic number, because the mean of its divisors is an integer number (148228780).

Almost surely, 22929301037 is an apocalyptic number.

2929301037 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2929301037 is a deficient number, since it is larger than the sum of its proper divisors (1814019923).

2929301037 is a wasteful number, since it uses less digits than its factorization.

2929301037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124650 (or 124644 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 2929301037 is about 54123.0176265145. The cubic root of 2929301037 is about 1430.8298827786.

The spelling of 2929301037 in words is "two billion, nine hundred twenty-nine million, three hundred one thousand, thirty-seven".

Divisors: 1 3 9 13 27 39 67 117 201 351 603 871 1809 2613 7839 23517 124561 373683 1121049 1619293 3363147 4857879 8345587 14573637 25036761 43720911 75110283 108492631 225330849 325477893 976433679 2929301037