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191484132921 = 361928532
BaseRepresentation
bin1011001001010101010…
…1111111111000111001
3200022020212011211000000
42302111111333320321
511114124414223141
6223544441303213
716556104163124
oct2622525777071
9608225154000
10191484132921
117423188a224
123113b794b09
1315097c59a83
1493a70d13bb
154eaaa295b6
hex2c9557fe39

191484132921 has 63 divisors (see below), whose sum is σ = 303356032479. Its totient is φ = 120795568272.

The previous prime is 191484132919. The next prime is 191484132923. The reversal of 191484132921 is 129231484191.

The square root of 191484132921 is 437589.

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

191484132921 is a `hidden beast` number, since 1 + 9 + 148 + 413 + 2 + 92 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (191484132919) and next prime (191484132923).

It can be written as a sum of positive squares in only one way, i.e., 11059677225 + 180424455696 = 105165^2 + 424764^2 .

It is not a de Polignac number, because 191484132921 - 21 = 191484132919 is a prime.

It is not an unprimeable number, because it can be changed into a prime (191484132923) 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 62 ways as a sum of consecutive naturals, for example, 224482731 + ... + 224483583.

Almost surely, 2191484132921 is an apocalyptic number.

191484132921 is the 437589-th square number.

191484132921 is the 218795-th centered octagonal number.

It is an amenable number.

191484132921 is a deficient number, since it is larger than the sum of its proper divisors (111871899558).

191484132921 is an frugal number, since it uses more digits than its factorization.

191484132921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 875 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 191484132921 in words is "one hundred ninety-one billion, four hundred eighty-four million, one hundred thirty-two thousand, nine hundred twenty-one".

Divisors: 1 3 9 19 27 57 81 171 243 361 513 729 853 1083 1539 2559 3249 4617 7677 9747 13851 16207 23031 29241 48621 69093 87723 145863 207279 263169 307933 437589 621837 727609 923799 1312767 2182827 2771397 3938301 6548481 8314191 11814903 13824571 19645443 24942573 41473713 58936329 74827719 124421139 176808987 224483157 262666849 373263417 530426961 788000547 1119790251 2364001641 3359370753 7092004923 10078112259 21276014769 63828044307 191484132921