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98204155859601 = 3411231232292
BaseRepresentation
bin10110010101000011101111…
…110100110101001010010001
3110212201020002110201220110000
4112111003233310311022101
5100332434102400001401
6544510211050200213
726454005346621021
oct2625035764651221
9425636073656400
1098204155859601
112932216a895400
12b020759123069
1342a47c5bc347c
141a3716c369a81
15b547aea27186
hex5950efd35291

98204155859601 has 135 divisors (see below), whose sum is σ = 166669782535179. Its totient is φ = 57579907730400.

The previous prime is 98204155859599. The next prime is 98204155859671. The reversal of 98204155859601 is 10695855140289.

The square root of 98204155859601 is 9909801.

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

98204155859601 is a `hidden beast` number, since 9 + 8 + 2 + 0 + 4 + 15 + 5 + 8 + 5 + 9 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29541388169601 + 68662767690000 = 5435199^2 + 8286300^2 .

It is not a de Polignac number, because 98204155859601 - 21 = 98204155859599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (98204155859671) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 30413177655 + ... + 30413180883.

Almost surely, 298204155859601 is an apocalyptic number.

98204155859601 is the 9909801-st square number.

98204155859601 is the 4954901-st centered octagonal number.

It is an amenable number.

98204155859601 is a deficient number, since it is larger than the sum of its proper divisors (68465626675578).

98204155859601 is an frugal number, since it uses more digits than its factorization.

98204155859601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6554 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 63.

The spelling of 98204155859601 in words is "ninety-eight trillion, two hundred four billion, one hundred fifty-five million, eight hundred fifty-nine thousand, six hundred one".

Divisors: 1 3 9 11 27 31 33 81 93 99 121 279 297 341 363 837 891 961 1023 1089 2511 2883 3069 3229 3267 3751 8649 9207 9687 9801 10571 11253 25947 27621 29061 31713 33759 35519 77841 87183 95139 100099 101277 106557 116281 261549 285417 300297 303831 319671 348843 390709 856251 900891 959013 1046529 1101089 1172127 2702673 2877039 3103069 3139587 3303267 3516381 8108019 9309207 9418761 9909801 10426441 10549143 12111979 27927621 29729403 31279323 31647429 34133759 36335937 83782863 89188209 93837969 102401277 109007811 114690851 251348589 281513907 307203831 323219671 327023433 344072553 375471349 844541721 921611493 969659013 981070299 1032217659 1126414047 1261599361 2764834479 2908977039 3096652977 3379242141 3555416381 3784798083 8726931117 9289958931 10019809801 10137726423 10666249143 11354394249 26180793351 30059429403 30413179269 31998747429 34063182747 39109580191 90178288209 95996242287 102189548241 110217907811 117328740573 270534864627 287988726861 330653723433 351986221719 811604593881 991961170299 1055958665157 1212396985921 2975883510897 3167875995471 3637190957763 8927650532691 10911572873289 32734718619867 98204155859601