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32249871136609 = 72532153072
BaseRepresentation
bin1110101010100110000100…
…00111001111011101100001
311020012001112222011112020021
413111103002013033131201
513211340214002332414
6152331215233513441
76535655604456100
oct725230207173541
9136161488145207
1032249871136609
11a304103560115
12374a2a8712881
1314cc1c4154179
147d6c8b4a6037
153add5e618c24
hex1d54c21cf761

32249871136609 has 27 divisors (see below), whose sum is σ = 38238842826387. Its totient is φ = 27119413614384.

The previous prime is 32249871136583. The next prime is 32249871136631. The reversal of 32249871136609 is 90663117894223.

It is a happy number.

The square root of 32249871136609 is 5678897.

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., 23248839107025 + 9001032029584 = 4821705^2 + 3000172^2 .

It is not a de Polignac number, because 32249871136609 - 29 = 32249871136097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32249871136699) 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 26 ways as a sum of consecutive naturals, for example, 2106863134 + ... + 2106878440.

Almost surely, 232249871136609 is an apocalyptic number.

32249871136609 is the 5678897-th square number.

32249871136609 is the 2839449-th centered octagonal number.

It is an amenable number.

32249871136609 is a deficient number, since it is larger than the sum of its proper divisors (5988971689778).

32249871136609 is an frugal number, since it uses more digits than its factorization.

32249871136609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30734 (or 15367 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 61.

The spelling of 32249871136609 in words is "thirty-two trillion, two hundred forty-nine billion, eight hundred seventy-one million, one hundred thirty-six thousand, six hundred nine".

Divisors: 1 7 49 53 371 2597 2809 15307 19663 107149 137641 750043 811271 5678897 39752279 42997363 234304249 300981541 1640129743 2106870787 11480908201 12418125197 86926876379 608488134653 658160635441 4607124448087 32249871136609