Search a number
-
+
380561441436 = 2232111279751379
BaseRepresentation
bin1011000100110110011…
…10101100001010011100
31100101021222111021121100
411202123032230022130
522213342212111221
6450454424233100
736331444610421
oct5423316541234
91311258437540
10380561441436
11137439015670
126190930b790
1329b6b37b897
14145c26a7d48
159d750d0926
hex589b3ac29c

380561441436 has 72 divisors (see below), whose sum is σ = 1050248908800. Its totient is φ = 115231330080.

The previous prime is 380561441411. The next prime is 380561441459. The reversal of 380561441436 is 634144165083.

380561441436 is a `hidden beast` number, since 3 + 8 + 0 + 561 + 4 + 41 + 43 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 380561441391 and 380561441400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130795 + ... + 882173.

It is an arithmetic number, because the mean of its divisors is an integer number (14586790400).

Almost surely, 2380561441436 is an apocalyptic number.

380561441436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

380561441436 is an abundant number, since it is smaller than the sum of its proper divisors (669687467364).

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

380561441436 is a wasteful number, since it uses less digits than its factorization.

380561441436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752679 (or 752674 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 380561441436 in words is "three hundred eighty billion, five hundred sixty-one million, four hundred forty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1279 2558 3837 5116 7674 11511 14069 15348 23022 28138 42207 46044 56276 84414 126621 168828 253242 506484 751379 1502758 2254137 3005516 4508274 6762411 8265169 9016548 13524822 16530338 24795507 27049644 33060676 49591014 74386521 99182028 148773042 297546084 961013741 1922027482 2883041223 3844054964 5766082446 8649123669 10571151151 11532164892 17298247338 21142302302 31713453453 34596494676 42284604604 63426906906 95140360359 126853813812 190280720718 380561441436