Search a number
-
+
1050246933120 = 27355721121767
BaseRepresentation
bin11110100100001111001…
…10000110101010000000
310201101212111220002200000
433102013212012222000
5114201401203324440
62122250552400000
7135610045431300
oct17220746065200
93641774802600
101050246933120
11375453017500
1214b6656a6000
1378065246028
1438b91895600
151c4bcb36730
hexf487986a80

1050246933120 has 3456 divisors, whose sum is σ = 5167740876480. Its totient is φ = 202330275840.

The previous prime is 1050246933041. The next prime is 1050246933149. The reversal of 1050246933120 is 213396420501.

1050246933120 is a `hidden beast` number, since 1 + 0 + 502 + 46 + 93 + 3 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×10502469331202 (a number of 25 digits) contains 22 as substring.

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

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 431 ways as a sum of consecutive naturals, for example, 15675327327 + ... + 15675327393.

Almost surely, 21050246933120 is an apocalyptic number.

1050246933120 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 1050246933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583870438240).

1050246933120 is an abundant number, since it is smaller than the sum of its proper divisors (4117493943360).

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

1050246933120 is a wasteful number, since it uses less digits than its factorization.

1050246933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1050246933120 in words is "one trillion, fifty billion, two hundred forty-six million, nine hundred thirty-three thousand, one hundred twenty".