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1997880479296 = 26132135912
BaseRepresentation
bin11101000100101010111…
…101001100111001000000
321001222212201121001011021
4131010222331030321000
5230213124400314141
64125451424155224
7264225224606302
oct35045275147100
97058781531137
101997880479296
1170032949a589
12283252168b14
13116526400300
146c9ab1a1972
1536e81dab6d1
hex1d12af4ce40

1997880479296 has 63 divisors (see below), whose sum is σ = 4293283737393. Its totient is φ = 922030836480.

The previous prime is 1997880479279. The next prime is 1997880479311. The reversal of 1997880479296 is 6929740887991.

The square root of 1997880479296 is 1413464.

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., 295544449600 + 1702336029696 = 543640^2 + 1304736^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 146993461 + ... + 147007051.

It is an arithmetic number, because the mean of its divisors is an integer number (68147360911).

Almost surely, 21997880479296 is an apocalyptic number.

1997880479296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1997880479296 is the 1413464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1997880479296

1997880479296 is an abundant number, since it is smaller than the sum of its proper divisors (2295403258097).

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

1997880479296 is an frugal number, since it uses more digits than its factorization.

1997880479296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27220 (or 13606 counting only the distinct ones).

The product of its (nonzero) digits is 987614208, while the sum is 79.

The spelling of 1997880479296 in words is "one trillion, nine hundred ninety-seven billion, eight hundred eighty million, four hundred seventy-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10816 13591 27182 54364 108728 176683 217456 353366 434912 706732 869824 1413464 2296879 2826928 4593758 5653856 9187516 11307712 18375032 36750064 73500128 147000256 184715281 369430562 738861124 1477722248 2401298653 2955444496 4802597306 5910888992 9605194612 11821777984 19210389224 31216882489 38420778448 62433764978 76841556896 124867529956 153683113792 249735059912 499470119824 998940239648 1997880479296