Search a number
-
+
1229192659968 = 210371329316773
BaseRepresentation
bin10001111000110001100…
…101111000010000000000
311100111202112211220000220
4101320301211320100000
5130114341310104333
62340403332343040
7154543353134610
oct21706145702000
94314675756026
101229192659968
11434330236659
1217a286174a80
138bbb2629cc0
14436c9656a40
1521e929dc8b3
hex11e31978400

1229192659968 has 1408 divisors, whose sum is σ = 4430040760320. Its totient is φ = 294298583040.

The previous prime is 1229192659949. The next prime is 1229192660023. The reversal of 1229192659968 is 8699562919221.

It is a super-2 number, since 2×12291926599682 (a number of 25 digits) contains 22 as substring.

Its product of digits (75582720) is a multiple of the sum of its prime factors (243).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16838255580 + ... + 16838255652.

Almost surely, 21229192659968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1229192659968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215020380160).

1229192659968 is an abundant number, since it is smaller than the sum of its proper divisors (3200848100352).

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

1229192659968 is a wasteful number, since it uses less digits than its factorization.

1229192659968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 69.

The spelling of 1229192659968 in words is "one trillion, two hundred twenty-nine billion, one hundred ninety-two million, six hundred fifty-nine thousand, nine hundred sixty-eight".