Search a number
-
+
1050923520192 = 26371325387299
BaseRepresentation
bin11110100101011111110…
…11000101000011000000
310201110121200000021122110
433102233323011003000
5114204242410121232
62122442042135320
7135632602350330
oct17225773050300
93643550007573
101050923520192
1137576aa25377
1214b8141b1540
1378142478700
1438c176970c0
151c50c231acc
hexf4afec50c0

1050923520192 has 336 divisors, whose sum is σ = 3506007110400. Its totient is φ = 271933968384.

The previous prime is 1050923520181. The next prime is 1050923520209. The reversal of 1050923520192 is 2910253290501.

1050923520192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10509235201922 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1050923520192.

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, 11994559 + ... + 12081857.

Almost surely, 21050923520192 is an apocalyptic number.

1050923520192 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 1050923520192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753003555200).

1050923520192 is an abundant number, since it is smaller than the sum of its proper divisors (2455083590208).

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

1050923520192 is a wasteful number, since it uses less digits than its factorization.

1050923520192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87400 (or 87377 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The spelling of 1050923520192 in words is "one trillion, fifty billion, nine hundred twenty-three million, five hundred twenty thousand, one hundred ninety-two".