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378930118329 = 367232572
BaseRepresentation
bin1011000001110011111…
…11101011111010111001
31100020002021212111000000
411200321333223322321
522202022102241304
6450024511303213
736243145601400
oct5407177537271
91306067774000
10378930118329
1113678119a454
1261532b1ab09
132996b3c9839
14144a9b7c637
159ccbc95939
hex5839febeb9

378930118329 has 63 divisors (see below), whose sum is σ = 661095037407. Its totient is φ = 216465014304.

The previous prime is 378930118309. The next prime is 378930118339. The reversal of 378930118329 is 923811039873.

The square root of 378930118329 is 615573.

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

378930118329 is a `hidden beast` number, since 3 + 7 + 8 + 9 + 301 + 1 + 8 + 329 = 666.

It can be written as a sum of positive squares in only one way, i.e., 324711927225 + 54218191104 = 569835^2 + 232848^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 378930118329 - 25 = 378930118297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (378930118309) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 116341669 + ... + 116344925.

Almost surely, 2378930118329 is an apocalyptic number.

378930118329 is the 615573-rd square number.

378930118329 is the 307787-th centered octagonal number.

It is an amenable number.

378930118329 is a deficient number, since it is larger than the sum of its proper divisors (282164919078).

378930118329 is an frugal number, since it uses more digits than its factorization.

378930118329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6546 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 378930118329 in words is "three hundred seventy-eight billion, nine hundred thirty million, one hundred eighteen thousand, three hundred twenty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 3257 3969 5103 9771 11907 22799 29313 35721 68397 87939 159593 205191 263817 478779 615573 791451 1436337 1846719 2374353 4309011 5540157 10608049 12927033 16620471 31824147 38781099 74256343 95472441 116343297 222769029 286417323 519794401 668307087 859251969 1559383203 2004921261 2577755907 4678149609 6014763783 7733267721 14034448827 18044291349 42103346481 54132874047 126310039443 378930118329