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197823021529 = 742923132
BaseRepresentation
bin1011100000111100101…
…0111100000111011001
3200220121121220201110011
42320033022330013121
511220120143142104
6230513441521521
720202144640000
oct2701712740731
9626547821404
10197823021529
1176994a36041
123240a6432a1
13158682bb333
149808d17c37
15522c2a3904
hex2e0f2bc1d9

197823021529 has 45 divisors (see below), whose sum is σ = 239778184893. Its totient is φ = 163192550976.

The previous prime is 197823021509. The next prime is 197823021569. The reversal of 197823021529 is 925120328791.

The square root of 197823021529 is 444773.

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 78419601225 + 119403420304 = 280035^2 + 345548^2 .

It is not a de Polignac number, because 197823021529 - 225 = 197789467097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (197823021509) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 632022277 + ... + 632022589.

Almost surely, 2197823021529 is an apocalyptic number.

197823021529 is the 444773-rd square number.

197823021529 is the 222387-th centered octagonal number.

It is an amenable number.

197823021529 is a deficient number, since it is larger than the sum of its proper divisors (41955163364).

197823021529 is an frugal number, since it uses more digits than its factorization.

197823021529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

Multiplying 197823021529 by its sum of digits (49), we get a square (9693328054921 = 31134112).

197823021529 divided by its sum of digits (49) gives a square (4037204521 = 635392).

The spelling of 197823021529 in words is "one hundred ninety-seven billion, eight hundred twenty-three million, twenty-one thousand, five hundred twenty-nine".

Divisors: 1 7 29 49 203 313 343 841 1421 2191 2401 5887 9077 9947 15337 41209 63539 69629 97969 107359 263233 288463 444773 685783 751513 1842631 2019241 2841101 3113411 4800481 12898417 19887707 21793877 33603367 82391929 90288919 139213949 235223569 576743503 632022433 974497643 4037204521 6821483501 28260431647 197823021529