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98314229601 = 3874792
BaseRepresentation
bin101101110001111111…
…1000001011101100001
3100101202200120100000000
41123203333001131201
53102321420321401
6113055343050213
710050214110000
oct1334377013541
9311680510000
1098314229601
1138770901925
12170792a0969
13936a4a5c73
144a89200c37
152856247186
hex16e3fc1761

98314229601 has 135 divisors (see below), whose sum is σ = 174236095761. Its totient is φ = 55468426104.

The previous prime is 98314229561. The next prime is 98314229647. The reversal of 98314229601 is 10692241389.

The square root of 98314229601 is 313551.

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

98314229601 is a `hidden beast` number, since 9 + 8 + 3 + 14 + 2 + 29 + 601 = 666.

It is not a de Polignac number, because 98314229601 - 211 = 98314227553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (98314229801) 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, 1244483880 + ... + 1244483958.

Almost surely, 298314229601 is an apocalyptic number.

98314229601 is the 313551-st square number.

98314229601 is the 156776-th centered octagonal number.

It is an amenable number.

98314229601 is a deficient number, since it is larger than the sum of its proper divisors (75921866160).

98314229601 is an frugal number, since it uses more digits than its factorization.

98314229601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 98314229601 in words is "ninety-eight billion, three hundred fourteen million, two hundred twenty-nine thousand, six hundred one".

Divisors: 1 3 7 9 21 27 49 63 79 81 147 189 237 243 343 441 553 567 711 729 1029 1323 1659 1701 2133 2187 2401 3087 3871 3969 4977 5103 6241 6399 6561 7203 9261 11613 11907 14931 15309 18723 19197 21609 27097 27783 34839 35721 43687 44793 45927 56169 57591 64827 81291 83349 104517 107163 131061 134379 168507 172773 189679 194481 243873 250047 305809 313551 321489 393183 403137 505521 518319 569037 583443 731619 750141 917427 940653 1179549 1209411 1516563 1707111 1750329 2140663 2194857 2250423 2752281 2821959 3538647 3628233 4549689 5121333 5250987 6421989 6584571 8256843 8465877 10615941 13649067 14984641 15363999 15752961 19265967 19753713 24770529 25397631 31847823 40947201 44953923 46091997 57797901 59261139 74311587 95543469 134861769 138275991 173393703 177783417 222934761 286630407 404585307 414827973 520181109 668804283 1213755921 1244483919 1560543327 2006412849 3641267763 4681629981 10923803289 14044889943 32771409867 98314229601