Search a number
-
+
1027777880503 = 1141109145314389
BaseRepresentation
bin11101111010011000101…
…01011110000110110111
310122020212121101221222001
432331030111132012313
5113314342114134003
62104053222520131
7134153202561253
oct16751425360667
93566777357861
101027777880503
11366972901730
12147234896047
1375bc418621a
1437a5d6d7263
151bb0525461d
hexef4c55e1b7

1027777880503 has 32 divisors (see below), whose sum is σ = 1159974446400. Its totient is φ = 902507443200.

The previous prime is 1027777880453. The next prime is 1027777880509. The reversal of 1027777880503 is 3050887777201.

It is a de Polignac number, because none of the positive numbers 2k-1027777880503 is a prime.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027777880509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71420833 + ... + 71435221.

It is an arithmetic number, because the mean of its divisors is an integer number (36249201450).

Almost surely, 21027777880503 is an apocalyptic number.

1027777880503 is a deficient number, since it is larger than the sum of its proper divisors (132196565897).

1027777880503 is a wasteful number, since it uses less digits than its factorization.

1027777880503 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16003.

The product of its (nonzero) digits is 4609920, while the sum is 55.

The spelling of 1027777880503 in words is "one trillion, twenty-seven billion, seven hundred seventy-seven million, eight hundred eighty thousand, five hundred three".

Divisors: 1 11 41 109 451 1199 1453 4469 14389 15983 49159 59573 158279 158377 589949 655303 1568401 1742147 6489439 6493457 17252411 20907217 64304441 71428027 229979387 707348851 857195897 2278886653 9429154867 25067753183 93434352773 1027777880503