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32707084201 = 1124124012
BaseRepresentation
bin11110011101011111…
…100111111110101001
310010102102011000202221
4132131133213332221
51013441003143301
623005254154041
72235340425421
oct363537477651
9103372130687
1032707084201
1112964329500
126409652921
13311318c17c
141823ba3481
15cb660cda1
hex79d7e7fa9

32707084201 has 27 divisors (see below), whose sum is σ = 36941118277. Its totient is φ = 28936160000.

The previous prime is 32707084171. The next prime is 32707084211. The reversal of 32707084201 is 10248070723.

The square root of 32707084201 is 180851.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 479653801 + 32227430400 = 21901^2 + 179520^2 .

It is not a de Polignac number, because 32707084201 - 25 = 32707084169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32707084211) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 81563601 + ... + 81564001.

Almost surely, 232707084201 is an apocalyptic number.

32707084201 is the 180851-st square number.

32707084201 is the 90426-th centered octagonal number.

It is an amenable number.

32707084201 is a deficient number, since it is larger than the sum of its proper divisors (4234034076).

32707084201 is an frugal number, since it uses more digits than its factorization.

32707084201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 32707084201 in words is "thirty-two billion, seven hundred seven million, eighty-four thousand, two hundred one".

Divisors: 1 11 41 121 401 451 1681 4411 4961 16441 18491 48521 160801 180851 203401 674081 1768811 1989361 6592841 7414891 19456921 72521251 81563801 270306481 797733761 2973371291 32707084201