Search a number
-
+
1069992745920 = 263357171954773
BaseRepresentation
bin11111001001000001000…
…10011001101111000000
310210021211122010022122000
433210200202121233000
5120012321120332140
62135314201544000
7140206263163530
oct17444042315700
93707748108560
101069992745920
1138286601295a
121534564a5000
1379b91073427
1439b060d14c0
151cc763e2a30
hexf920899bc0

1069992745920 has 896 divisors, whose sum is σ = 4808193177600. Its totient is φ = 218064420864.

The previous prime is 1069992745879. The next prime is 1069992745979. The reversal of 1069992745920 is 295472999601.

1069992745920 is a `hidden beast` number, since 1 + 0 + 6 + 99 + 92 + 7 + 459 + 2 + 0 = 666.

It is a super-2 number, since 2×10699927459202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 19507654 + ... + 19562426.

Almost surely, 21069992745920 is an apocalyptic number.

1069992745920 is a gapful number since it is divisible by the number (10) 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 1069992745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404096588800).

1069992745920 is an abundant number, since it is smaller than the sum of its proper divisors (3738200431680).

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

1069992745920 is a wasteful number, since it uses less digits than its factorization.

1069992745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54842 (or 54826 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 1069992745920 in words is "one trillion, sixty-nine billion, nine hundred ninety-two million, seven hundred forty-five thousand, nine hundred twenty".