Search a number
-
+
380643118442528 = 252772124512
BaseRepresentation
bin101011010001100010110000…
…1110111000110100000100000
31211220202010102101121111102012
41112203011201313012200200
5344342424101310130103
63425321011245012052
7143114362214305424
oct12643054167064040
91756663371544365
10380643118442528
11100314927019227
123683722a254028
131345165205b346
1469dd322076b84
152e0160378a2d8
hex15a3161dc6820

380643118442528 has 54 divisors (see below), whose sum is σ = 752166699478173. Its totient is φ = 189619247318400.

The previous prime is 380643118442507. The next prime is 380643118442557. The reversal of 380643118442528 is 825244811346083.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 334087769812624 + 46555348629904 = 18278068^2 + 6823148^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=13795708.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30571282703 + ... + 30571295153.

Almost surely, 2380643118442528 is an apocalyptic number.

It is an amenable number.

380643118442528 is a deficient number, since it is larger than the sum of its proper divisors (371523581035645).

380643118442528 is an frugal number, since it uses more digits than its factorization.

380643118442528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25466 (or 12730 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 59.

The spelling of 380643118442528 in words is "three hundred eighty trillion, six hundred forty-three billion, one hundred eighteen million, four hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 32 277 554 1108 2216 4432 8864 12451 24902 49804 76729 99608 153458 199216 306916 398432 613832 1227664 2455328 3448927 6897854 13795708 27591416 55182832 110365664 155027401 310054802 620109604 955352779 1240219208 1910705558 2480438416 3821411116 4960876832 7642822232 15285644464 30571288928 42942590077 85885180154 171770360308 343540720616 687081441232 1374162882464 11895097451329 23790194902658 47580389805316 95160779610632 190321559221264 380643118442528