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99953899536384 = 21632169463941
BaseRepresentation
bin10110101110100001010100…
…101011010000000000000000
3111002220111111010011022221100
4112232201110223100000000
5101100121041240131014
6552330104301454400
730024300544520235
oct2656412453200000
9432814433138840
1099953899536384
112993723554a573
12b26389a871400
1343a07c62510ca
141a97b1a36378c
15b8506c458009
hex5ae854ad0000

99953899536384 has 102 divisors (see below), whose sum is σ = 288753508444466. Its totient is φ = 33317966315520.

The previous prime is 99953899536353. The next prime is 99953899536389. The reversal of 99953899536384 is 48363599835999.

99953899536384 is a `hidden beast` number, since 9 + 9 + 9 + 5 + 3 + 89 + 95 + 363 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70463265177600 + 29490634358784 = 8394240^2 + 5430528^2 .

It is a super-2 number, since 2×999538995363842 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 99953899536294 and 99953899536303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99953899536389) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84142147 + ... + 85321794.

Almost surely, 299953899536384 is an apocalyptic number.

It is an amenable number.

99953899536384 is an abundant number, since it is smaller than the sum of its proper divisors (188799608908082).

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

99953899536384 is an equidigital number, since it uses as much as digits as its factorization.

99953899536384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169463979 (or 169463946 counting only the distinct ones).

The product of its digits is 61222003200, while the sum is 90.

The spelling of 99953899536384 in words is "ninety-nine trillion, nine hundred fifty-three billion, eight hundred ninety-nine million, five hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 18432 24576 32768 36864 49152 65536 73728 98304 147456 196608 294912 589824 169463941 338927882 508391823 677855764 1016783646 1355711528 1525175469 2033567292 2711423056 3050350938 4067134584 5422846112 6100701876 8134269168 10845692224 12201403752 16268538336 21691384448 24402807504 32537076672 43382768896 48805615008 65074153344 86765537792 97611230016 130148306688 173531075584 195222460032 260296613376 347062151168 390444920064 520593226752 694124302336 780889840128 1041186453504 1388248604672 1561779680256 2082372907008 2776497209344 3123559360512 4164745814016 5552994418688 6247118721024 8329491628032 11105988837376 12494237442048 16658983256064 24988474884096 33317966512128 49976949768192 99953899536384