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1073925980416 = 2823922712
BaseRepresentation
bin11111010000010101111…
…10100000000100000000
310210122222202012100000201
433220022332200010000
5120043400022333131
62141204344454544
7140405613134512
oct17501276400400
93718882170021
101073925980416
113844a4245183
1215417377a454
137a369bb9613
1439d9a625bb2
151ce0687a761
hexfa0afa0100

1073925980416 has 81 divisors (see below), whose sum is σ = 2160636461823. Its totient is φ = 532743160320.

The previous prime is 1073925980383. The next prime is 1073925980429. The reversal of 1073925980416 is 6140895293701.

It is a happy number.

The square root of 1073925980416 is 1036304.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×10739259804162 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3962826361 + ... + 3962826631.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1073925980416 = 2147851960832, but 3⋅1073925980416 = 3221777941248 is not.

Almost surely, 21073925980416 is an apocalyptic number.

1073925980416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1073925980416 is the 1036304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073925980416

1073925980416 is an abundant number, since it is smaller than the sum of its proper divisors (1086710481407).

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

1073925980416 is an frugal number, since it uses more digits than its factorization.

1073925980416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 1073925980416 in words is "one trillion, seventy-three billion, nine hundred twenty-five million, nine hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 239 256 271 478 542 956 1084 1912 2168 3824 4336 7648 8672 15296 17344 30592 34688 57121 61184 64769 69376 73441 114242 129538 146882 228484 259076 293764 456968 518152 587528 913936 1036304 1175056 1827872 2072608 2350112 3655744 4145216 4700224 7311488 8290432 9400448 14622976 15479791 16580864 17552399 18800896 30959582 35104798 61919164 70209596 123838328 140419192 247676656 280838384 495353312 561676768 990706624 1123353536 1981413248 2246707072 3962826496 4195023361 4493414144 8390046722 16780093444 33560186888 67120373776 134240747552 268481495104 536962990208 1073925980416