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129939322464 = 2532764454029
BaseRepresentation
bin111100100000011111…
…1001011011001100000
3110102101200202111200200
41321000333023121200
54112103431304324
6135405430345200
712250006005630
oct1710077133140
9412350674620
10129939322464
115011a3a6206
12212244bb200
13c33a44b373
1464093d26c0
1535a7879ec9
hex1e40fcb660

129939322464 has 72 divisors (see below), whose sum is σ = 422302804560. Its totient is φ = 37125520128.

The previous prime is 129939322463. The next prime is 129939322477. The reversal of 129939322464 is 464223939921.

129939322464 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 393 + 2 + 246 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 129939322464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129939322463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32224999 + ... + 32229030.

It is an arithmetic number, because the mean of its divisors is an integer number (5865316730).

Almost surely, 2129939322464 is an apocalyptic number.

129939322464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

129939322464 is an abundant number, since it is smaller than the sum of its proper divisors (292363482096).

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

129939322464 is a wasteful number, since it uses less digits than its factorization.

129939322464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64454052 (or 64454041 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 129939322464 in words is "one hundred twenty-nine billion, nine hundred thirty-nine million, three hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 64454029 128908058 193362087 257816116 386724174 451178203 515632232 580086261 773448348 902356406 1031264464 1160172522 1353534609 1546896696 1804712812 2062528928 2320345044 2707069218 3093793392 3609425624 4060603827 4640690088 5414138436 6187586784 7218851248 8121207654 9281380176 10828276872 14437702496 16242415308 18562760352 21656553744 32484830616 43313107488 64969661232 129939322464