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378863639361 = 3101721492
BaseRepresentation
bin1011000001101100000…
…10000101101101000001
31100012220122210000000000
411200312002011231001
522201403042424421
6450014134350213
736241410541224
oct5406602055501
91305818700000
10378863639361
11136747713859
12615147bb369
132995a6c187c
14144a0dd55bb
159cc6013226
hex5836085b41

378863639361 has 99 divisors (see below), whose sum is σ = 607766402761. Its totient is φ = 236122936704.

The previous prime is 378863639339. The next prime is 378863639369. The reversal of 378863639361 is 163936368873.

The square root of 378863639361 is 615519.

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

378863639361 is a `hidden beast` number, since 378 + 8 + 63 + 63 + 93 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7441650225 + 371421989136 = 86265^2 + 609444^2 .

It is not a de Polignac number, because 378863639361 - 29 = 378863638849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (378863639369) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 2542708915 + ... + 2542709063.

Almost surely, 2378863639361 is an apocalyptic number.

378863639361 is the 615519-th square number.

378863639361 is the 307760-th centered octagonal number.

It is an amenable number.

378863639361 is a deficient number, since it is larger than the sum of its proper divisors (228902763400).

378863639361 is an frugal number, since it uses more digits than its factorization.

378863639361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 169 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 378863639361 in words is "three hundred seventy-eight billion, eight hundred sixty-three million, six hundred thirty-nine thousand, three hundred sixty-one".

Divisors: 1 3 9 17 27 51 81 149 153 243 289 447 459 729 867 1341 1377 2187 2533 2601 4023 4131 6561 7599 7803 12069 12393 19683 22201 22797 23409 36207 37179 43061 59049 66603 68391 70227 108621 111537 129183 199809 205173 210681 325863 334611 377417 387549 599427 615519 632043 977589 1003833 1132251 1162647 1798281 1846557 1896129 2932767 3396753 3487941 5394843 5539671 5688387 6416089 8798301 10190259 10463823 16184529 16619013 17065161 19248267 30570777 31391469 48553587 49857039 57744801 91712331 94174407 145660761 149571117 173234403 275136993 282523221 436982283 519703209 825410979 847569663 1310946849 1559109627 2476232937 2542708989 4677328881 7428698811 14031986643 22286096433 42095959929 126287879787 378863639361