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93369452607369 = 36167221432
BaseRepresentation
bin10101001110101101000101…
…000011100011011110001001
3110020121000212200121121000000
4111032231011003203132021
544214231114331413434
6530325200120433213
725444502035212231
oct2516550503433611
9406530780547000
1093369452607369
1127828842950aa4
12a57b760918809
1340139175570c3
14190b169b62cc1
15abdb48cb4b99
hex54eb450e3789

93369452607369 has 63 divisors (see below), whose sum is σ = 140899171910493. Its totient is φ = 61844696984952.

The previous prime is 93369452607317. The next prime is 93369452607427. The reversal of 93369452607369 is 96370625496339.

The square root of 93369452607369 is 9662787.

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

93369452607369 is a `hidden beast` number, since 9 + 3 + 3 + 6 + 9 + 4 + 5 + 2 + 607 + 3 + 6 + 9 = 666.

It is not a de Polignac number, because 93369452607369 - 225 = 93369419052937 is a prime.

It is a super-2 number, since 2×933694526073692 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 93369452607297 and 93369452607306.

It is not an unprimeable number, because it can be changed into a prime (93369453607369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 43569505512 + ... + 43569507654.

Almost surely, 293369452607369 is an apocalyptic number.

93369452607369 is the 9662787-th square number.

93369452607369 is the 4831394-th centered octagonal number.

It is an amenable number.

93369452607369 is a deficient number, since it is larger than the sum of its proper divisors (47529719303124).

93369452607369 is an frugal number, since it uses more digits than its factorization.

93369452607369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 1190427840, while the sum is 72.

The spelling of 93369452607369 in words is "ninety-three trillion, three hundred sixty-nine billion, four hundred fifty-two million, six hundred seven thousand, three hundred sixty-nine".

Divisors: 1 3 9 27 81 167 243 501 729 1503 2143 4509 6429 13527 19287 27889 40581 57861 83667 121743 173583 251001 357881 520749 753003 1073643 1562247 2259009 3220929 4592449 6777027 9662787 13777347 20331081 28988361 41332041 59766127 86965083 123996123 179298381 260895249 371988369 537895143 766938983 1115965107 1613685429 2300816949 3347895321 4841056287 6902450847 14523168861 20707352541 43569506583 62122057623 128078810161 186366172869 384236430483 559098518607 1152709291449 3458127874347 10374383623041 31123150869123 93369452607369