Search a number
-
+
1219037309952 = 2103721121731127
BaseRepresentation
bin10001101111010100010…
…010010010110000000000
311022112112210202122202020
4101233110102102300000
5124433042022404302
62332003520121440
7154033611111300
oct21572422226000
94275483678666
101219037309952
1142aa99865900
12178311166280
138ac546b9757
1443004a15600
1521a9b194ebc
hex11bd4492c00

1219037309952 has 1584 divisors, whose sum is σ = 4576534953984. Its totient is φ = 286123622400.

The previous prime is 1219037309857. The next prime is 1219037309993. The reversal of 1219037309952 is 2599037309121.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 1219037309895 and 1219037309904.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9598718913 + ... + 9598719039.

Almost surely, 21219037309952 is an apocalyptic number.

1219037309952 is a gapful number since it is divisible by the number (12) 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 1219037309952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288267476992).

1219037309952 is an abundant number, since it is smaller than the sum of its proper divisors (3357497644032).

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

1219037309952 is a wasteful number, since it uses less digits than its factorization.

1219037309952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 51.

The spelling of 1219037309952 in words is "one trillion, two hundred nineteen billion, thirty-seven million, three hundred nine thousand, nine hundred fifty-two".