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1991530598656 = 2819324572
BaseRepresentation
bin11100111110110000011…
…110010101000100000000
321001101111012011200110211
4130332300132111010000
5230112123313124111
64122521352203504
7263611661531614
oct34766036250400
97041435150424
101991530598656
116a8670116245
12281b7b699594
13115a539c07a1
146c567b17344
1536c0e6b0521
hex1cfb0795100

1991530598656 has 81 divisors (see below), whose sum is σ = 4004748902511. Its totient is φ = 988438265856.

The previous prime is 1991530598653. The next prime is 1991530598669. The reversal of 1991530598656 is 6568950351991.

The square root of 1991530598656 is 1411216.

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

It can be written as a sum of positive squares in 4 ways, for example, as 37797581056 + 1953733017600 = 194416^2 + 1397760^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1991530598591 and 1991530598600.

It is not an unprimeable number, because it can be changed into a prime (1991530598653) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4357834780 + ... + 4357835236.

Almost surely, 21991530598656 is an apocalyptic number.

1991530598656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1991530598656 is the 1411216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1991530598656

1991530598656 is an abundant number, since it is smaller than the sum of its proper divisors (2013218303855).

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

1991530598656 is an frugal number, since it uses more digits than its factorization.

1991530598656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 78732000, while the sum is 67.

The spelling of 1991530598656 in words is "one trillion, nine hundred ninety-one billion, five hundred thirty million, five hundred ninety-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 193 256 386 457 772 914 1544 1828 3088 3656 6176 7312 12352 14624 24704 29248 37249 49408 58496 74498 88201 116992 148996 176402 208849 297992 352804 417698 595984 705608 835396 1191968 1411216 1670792 2383936 2822432 3341584 4767872 5644864 6683168 9535744 11289728 13366336 17022793 22579456 26732672 34045586 40307857 53465344 68091172 80615714 136182344 161231428 272364688 322462856 544729376 644925712 1089458752 1289851424 2178917504 2579702848 4357835008 5159405696 7779416401 10318811392 15558832802 31117665604 62235331208 124470662416 248941324832 497882649664 995765299328 1991530598656