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197918438025 = 35271129240751
BaseRepresentation
bin1011100001010011011…
…0111011001010001001
3200220212021110101021110
42320110312323022021
511220314110004100
6230531131000533
720204413652130
oct2702466731211
9626767411243
10197918438025
1176a33886950
1232436599149
1315881cb87b9
149817874917
155235850250
hex2e14dbb289

197918438025 has 144 divisors (see below), whose sum is σ = 422532384768. Its totient is φ = 79413600000.

The previous prime is 197918438021. The next prime is 197918438027. The reversal of 197918438025 is 520834819791.

197918438025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 197918438025 - 22 = 197918438021 is a prime.

It is a super-2 number, since 2×1979184380252 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (197918438021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4836400 + ... + 4877150.

It is an arithmetic number, because the mean of its divisors is an integer number (2934252672).

Almost surely, 2197918438025 is an apocalyptic number.

197918438025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

197918438025 is an abundant number, since it is smaller than the sum of its proper divisors (224613946743).

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

197918438025 is a wasteful number, since it uses less digits than its factorization.

197918438025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40840 (or 40806 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 197918438025 in words is "one hundred ninety-seven billion, nine hundred eighteen million, four hundred thirty-eight thousand, twenty-five".

Divisors: 1 3 5 7 11 15 21 25 29 33 35 55 75 77 87 105 145 165 175 203 231 275 319 385 435 525 609 725 825 841 957 1015 1155 1595 1925 2175 2233 2523 3045 4205 4785 5075 5775 5887 6699 7975 9251 11165 12615 15225 17661 21025 23925 27753 29435 33495 40751 46255 55825 63075 64757 88305 122253 138765 147175 167475 194271 203755 231275 285257 323785 441525 448261 611265 693825 855771 971355 1018775 1181779 1344783 1426285 1618925 2241305 3056325 3137827 3545337 4278855 4856775 5908895 6723915 7131425 8272453 9413481 11206525 12999569 15689135 17726685 21394275 24817359 29544475 33619575 34271591 38998707 41362265 47067405 64997845 78445675 88633425 90996983 102814773 124086795 171357955 194993535 206811325 235337025 239901137 272990949 324989225 376987501 454984915 514073865 620433975 719703411 856789775 974967675 1130962503 1199505685 1364954745 1884937505 2274924575 2570369325 2638912507 3598517055 5654812515 5997528425 6824773725 7916737521 9424687525 13194562535 17992585275 28274062575 39583687605 65972812675 197918438025