Search a number
-
+
1019463685464 = 233724737394933
BaseRepresentation
bin11101101010111001100…
…01010101010101011000
310121110102011210002111110
432311130301111111120
5113200330200413324
62100200220500320
7133440155230500
oct16653461252530
93543364702443
101019463685464
11363396744964
121456b43aa6a0
137519a8151a3
14374b1402a00
151b7ba394329
hexed5cc55558

1019463685464 has 192 divisors, whose sum is σ = 3029270745600. Its totient is φ = 284943972096.

The previous prime is 1019463685453. The next prime is 1019463685483. The reversal of 1019463685464 is 4645863649101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206659542 + ... + 206664474.

It is an arithmetic number, because the mean of its divisors is an integer number (15777451800).

Almost surely, 21019463685464 is an apocalyptic number.

1019463685464 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 1019463685464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514635372800).

1019463685464 is an abundant number, since it is smaller than the sum of its proper divisors (2009807060136).

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

1019463685464 is a wasteful number, since it uses less digits than its factorization.

1019463685464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8742 (or 8731 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 1019463685464 in words is "one trillion, nineteen billion, four hundred sixty-three million, six hundred eighty-five thousand, four hundred sixty-four".