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99209548239201 = 34792140092
BaseRepresentation
bin10110100011101100000101…
…111000011001000101100001
3111000021100011222212121010000
4112203230011320121011201
5101000422123322123301
6551000123130130213
726616440043060261
oct2643540570310541
9430240158777100
1099209548239201
112967a595658964
12b163584b80969
1343485603c176a
141a6daa6a137a1
15b70a048a0786
hex5a3b05e19161

99209548239201 has 45 divisors (see below), whose sum is σ = 150112353306531. Its totient is φ = 65297825981856.

The previous prime is 99209548239181. The next prime is 99209548239271. The reversal of 99209548239201 is 10293284590299.

The square root of 99209548239201 is 9960399.

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

99209548239201 is a `hidden beast` number, since 99 + 20 + 95 + 4 + 8 + 239 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78243772493601 + 20965775745600 = 8845551^2 + 4578840^2 .

It is not a de Polignac number, because 99209548239201 - 25 = 99209548239169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (99209548239271) 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, 7081836685 + ... + 7081850693.

Almost surely, 299209548239201 is an apocalyptic number.

99209548239201 is the 9960399-th square number.

99209548239201 is the 4980200-th centered octagonal number.

It is an amenable number.

99209548239201 is a deficient number, since it is larger than the sum of its proper divisors (50902805067330).

99209548239201 is an frugal number, since it uses more digits than its factorization.

99209548239201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28188 (or 14091 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 99209548239201 in words is "ninety-nine trillion, two hundred nine billion, five hundred forty-eight million, two hundred thirty-nine thousand, two hundred one".

Divisors: 1 3 9 27 79 81 237 711 2133 6241 6399 14009 18723 42027 56169 126081 168507 378243 505521 1106711 1134729 3320133 9960399 29881197 87430169 89643591 196252081 262290507 588756243 786871521 1766268729 2360614563 5298806187 7081843689 15503914399 15896418561 46511743197 139535229591 418605688773 1224809237521 1255817066319 3674427712563 11023283137689 33069849413067 99209548239201