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130623883488 = 2532764793593
BaseRepresentation
bin111100110100111001…
…0100100100011100000
3110111011101212210212200
41321221302210203200
54120004203232423
6140001403053200
712302660455440
oct1715162444340
9414141783780
10130623883488
115044086001a
1221395811200
13c419213367
1464722ac120
1535e79ecd43
hex1e69ca48e0

130623883488 has 72 divisors (see below), whose sum is σ = 424527627888. Its totient is φ = 37321108992.

The previous prime is 130623883483. The next prime is 130623883499. The reversal of 130623883488 is 884388326031.

130623883488 is a `hidden beast` number, since 1 + 3 + 0 + 623 + 8 + 8 + 3 + 4 + 8 + 8 = 666.

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

It is a super-2 number, since 2×1306238834882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130623883483) 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 11 ways as a sum of consecutive naturals, for example, 32394781 + ... + 32398812.

It is an arithmetic number, because the mean of its divisors is an integer number (5896217054).

Almost surely, 2130623883488 is an apocalyptic number.

130623883488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130623883488 is an abundant number, since it is smaller than the sum of its proper divisors (293903744400).

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

130623883488 is a wasteful number, since it uses less digits than its factorization.

130623883488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64793616 (or 64793605 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 130623883488 in words is "one hundred thirty billion, six hundred twenty-three million, eight hundred eighty-three thousand, four hundred eighty-eight".

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 64793593 129587186 194380779 259174372 388761558 453555151 518348744 583142337 777523116 907110302 1036697488 1166284674 1360665453 1555046232 1814220604 2073394976 2332569348 2721330906 3110092464 3628441208 4081996359 4665138696 5442661812 6220184928 7256882416 8163992718 9330277392 10885323624 14513764832 16327985436 18660554784 21770647248 32655970872 43541294496 65311941744 130623883488