Search a number
-
+
1069020203328 = 26367112931331
BaseRepresentation
bin11111000111001101001…
…00011100100101000000
310210012022212010001000000
433203212210130211000
5120003323133001303
62135033501000000
7140143213541430
oct17434644344500
93705285101000
101069020203328
11382407043250
12153224853000
1379a6772ab3c
1439a52c902c0
151cc1ad36da3
hexf8e691c940

1069020203328 has 1568 divisors, whose sum is σ = 4247216824320. Its totient is φ = 258660864000.

The previous prime is 1069020203327. The next prime is 1069020203369. The reversal of 1069020203328 is 8233020209601.

1069020203328 is a `hidden beast` number, since 106 + 9 + 0 + 20 + 203 + 328 = 666.

It is a super-2 number, since 2×10690202033282 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1069020203292 and 1069020203301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1069020203327) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3229668123 + ... + 3229668453.

Almost surely, 21069020203328 is an apocalyptic number.

1069020203328 is a gapful number since it is divisible by the number (18) 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 1069020203328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123608412160).

1069020203328 is an abundant number, since it is smaller than the sum of its proper divisors (3178196620992).

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

1069020203328 is a wasteful number, since it uses less digits than its factorization.

1069020203328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1069020203328 in words is "one trillion, sixty-nine billion, twenty million, two hundred three thousand, three hundred twenty-eight".