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1050740983264 = 25721279523937
BaseRepresentation
bin11110100101001010000…
…10110000010111100000
310201110010221112110001111
433102211002300113200
5114203404142431024
62122412001513104
7135625224664600
oct17224502602740
93643127473044
101050740983264
1137568698a705
1214b783042794
13781136c6bab
1438bdb33cc00
151c4eb1c6a94
hexf4a50b05e0

1050740983264 has 72 divisors (see below), whose sum is σ = 2408270538240. Its totient is φ = 449964619776.

The previous prime is 1050740983241. The next prime is 1050740983267. The reversal of 1050740983264 is 4623890470501.

It is a happy number.

It is a super-2 number, since 2×10507409832642 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050740983267) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1743504 + ... + 2267440.

It is an arithmetic number, because the mean of its divisors is an integer number (33448201920).

It is a 1-persistent number, because it is pandigital, but 2⋅1050740983264 = 2101481966528 is not.

Almost surely, 21050740983264 is an apocalyptic number.

1050740983264 is a gapful number since it is divisible by the number (14) 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 1050740983264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204135269120).

1050740983264 is an abundant number, since it is smaller than the sum of its proper divisors (1357529554976).

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

1050740983264 is a wasteful number, since it uses less digits than its factorization.

1050740983264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525240 (or 525225 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 1050740983264 in words is "one trillion, fifty billion, seven hundred forty million, nine hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1279 1568 2558 5116 8953 10232 17906 20464 35812 40928 62671 71624 125342 143248 250684 286496 501368 523937 1002736 1047874 2005472 2095748 3667559 4191496 7335118 8382992 14670236 16765984 25672913 29340472 51345826 58680944 102691652 117361888 205383304 410766608 670115423 821533216 1340230846 2680461692 4690807961 5360923384 9381615922 10721846768 18763231844 21443693536 32835655727 37526463688 65671311454 75052927376 131342622908 150105854752 262685245816 525370491632 1050740983264