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1084022474896 = 24232113172
BaseRepresentation
bin11111100011001001100…
…01100100100010010000
310211122001101112101200201
433301210301210202100
5120230034223144041
62145554255424544
7141214042001464
oct17614461444220
93748041471621
101084022474896
11388805476999
12156110b25154
137b2b8890aca
143a6775064a4
151d2e7e49631
hexfc64c64890

1084022474896 has 45 divisors (see below), whose sum is σ = 2195774989401. Its totient is φ = 518399720256.

The previous prime is 1084022474893. The next prime is 1084022474939. The reversal of 1084022474896 is 6984742204801.

The square root of 1084022474896 is 1041164.

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

It can be written as a sum of positive squares in only one way, i.e., 1053209587600 + 30812887296 = 1026260^2 + 175536^2 .

It is a super-4 number, since 4×10840224748964 (a number of 49 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1084022474893) 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 8 ways as a sum of consecutive naturals, for example, 95781430 + ... + 95792746.

Almost surely, 21084022474896 is an apocalyptic number.

1084022474896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1084022474896 is the 1041164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1084022474896

1084022474896 is an abundant number, since it is smaller than the sum of its proper divisors (1111752514505).

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

1084022474896 is an frugal number, since it uses more digits than its factorization.

1084022474896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22688 (or 11342 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 1084022474896 in words is "one trillion, eighty-four billion, twenty-two million, four hundred seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 4232 8464 11317 22634 45268 90536 181072 260291 520582 1041164 2082328 4164656 5986693 11973386 23946772 47893544 95787088 128074489 256148978 512297956 1024595912 2049191824 2945713247 5891426494 11782852988 23565705976 47131411952 67751404681 135502809362 271005618724 542011237448 1084022474896