Search a number
-
+
1114427772864 = 26327297461883
BaseRepresentation
bin10000001101111001000…
…100100100111111000000
310221112112101110120100200
4100031321010210333000
5121224322002212424
62211543330445200
7143341362526200
oct20157104447700
93845471416320
101114427772864
1139a69847431a
1215bb97733800
1381122c00a93
143bd1d6d4400
151dec74318c9
hex10379124fc0

1114427772864 has 504 divisors, whose sum is σ = 3766537062288. Its totient is φ = 314085703680.

The previous prime is 1114427772859. The next prime is 1114427772877. The reversal of 1114427772864 is 4682777244111.

1114427772864 is a `hidden beast` number, since 1 + 1 + 1 + 442 + 77 + 72 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1114427772864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1262092167 + ... + 1262093049.

It is an arithmetic number, because the mean of its divisors is an integer number (7473287822).

Almost surely, 21114427772864 is an apocalyptic number.

1114427772864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114427772864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883268531144).

1114427772864 is an abundant number, since it is smaller than the sum of its proper divisors (2652109289424).

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

1114427772864 is a wasteful number, since it uses less digits than its factorization.

1114427772864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1453 counting only the distinct ones).

The product of its digits is 4214784, while the sum is 54.

The spelling of 1114427772864 in words is "one trillion, one hundred fourteen billion, four hundred twenty-seven million, seven hundred seventy-two thousand, eight hundred sixty-four".