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29390231540 = 2252950819973
BaseRepresentation
bin11011010111110010…
…110101011111110100
32210212020220110022002
4123113302311133310
5440142344402130
621300210354432
72060213563145
oct332762653764
983766813262
1029390231540
1111512023a5a
12584288ba18
132a04c59167
1415cb47bacc
15b7032bb45
hex6d7cb57f4

29390231540 has 48 divisors (see below), whose sum is σ = 63866713680. Its totient is φ = 11347338240.

The previous prime is 29390231509. The next prime is 29390231543. The reversal of 29390231540 is 4513209392.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6185193316 + 23205038224 = 78646^2 + 152332^2 .

It is a junction number, because it is equal to n+sod(n) for n = 29390231494 and 29390231503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29390231543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2941994 + ... + 2951966.

It is an arithmetic number, because the mean of its divisors is an integer number (1330556535).

Almost surely, 229390231540 is an apocalyptic number.

29390231540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29390231540 is an abundant number, since it is smaller than the sum of its proper divisors (34476482140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29390231540 is a wasteful number, since it uses less digits than its factorization.

29390231540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15092 (or 15090 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The spelling of 29390231540 in words is "twenty-nine billion, three hundred ninety million, two hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 5081 9973 10162 19946 20324 25405 39892 49865 50810 99730 101620 147349 199460 289217 294698 578434 589396 736745 1156868 1446085 1473490 2892170 2946980 5784340 50672813 101345626 202691252 253364065 506728130 1013456260 1469511577 2939023154 5878046308 7347557885 14695115770 29390231540