Search a number
-
+
55442000251 = 11311381117731
BaseRepresentation
bin110011101000100110…
…011100100101111011
312022002211220102112201
4303220212130211323
51402021123002001
641245242251031
74001622140461
oct635046344573
9168084812481
1055442000251
1121570622420
12a8b34b6a77
1352c7357011
14297d3aa831
151697509501
hexce899c97b

55442000251 has 16 divisors (see below), whose sum is σ = 62478959616. Its totient is φ = 48740220000.

The previous prime is 55442000233. The next prime is 55442000279. The reversal of 55442000251 is 15200024455.

It is a 5-Lehmer number, since φ(55442000251) divides (55442000251-1)5.

It is a cyclic number.

It is not a de Polignac number, because 55442000251 - 225 = 55408445819 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55442000231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412056 + ... + 529786.

It is an arithmetic number, because the mean of its divisors is an integer number (3904934976).

Almost surely, 255442000251 is an apocalyptic number.

55442000251 is the 117731-st decagonal number.

55442000251 is a deficient number, since it is larger than the sum of its proper divisors (7036959365).

55442000251 is a wasteful number, since it uses less digits than its factorization.

55442000251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119154.

The product of its (nonzero) digits is 8000, while the sum is 28.

The spelling of 55442000251 in words is "fifty-five billion, four hundred forty-two million, two hundred fifty-one", and thus it is an aban number.

Divisors: 1 11 31 341 1381 15191 42811 117731 470921 1295041 3649661 40146271 162586511 1788451621 5040181841 55442000251