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1988235362304 = 22038172
BaseRepresentation
bin11100111011101100000…
…100000000000000000000
321001001222112121100000000
4130323230010000000000
5230033401223043204
64121214400000000
7263434216506552
oct34735404000000
97031875540000
101988235362304
116a722a035414
12281400000000
1311564a0b87a9
146c33421b4d2
1536aba24e039
hex1ceec100000

1988235362304 has 567 divisors, whose sum is σ = 6335885338237. Its totient is φ = 623760113664.

The previous prime is 1988235362207. The next prime is 1988235362329. The reversal of 1988235362304 is 4032635328891.

The square root of 1988235362304 is 1410048.

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

1988235362304 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 2 + 3 + 5 + 3 + 623 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1547934105600 + 440301256704 = 1244160^2 + 663552^2 .

It is a super-2 number, since 2×19882353623042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 116955021304 + ... + 116955021320.

Almost surely, 21988235362304 is an apocalyptic number.

1988235362304 is the 1410048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1988235362304

1988235362304 is an abundant number, since it is smaller than the sum of its proper divisors (4347649975933).

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

1988235362304 is an frugal number, since it uses more digits than its factorization.

1988235362304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 1988235362304 in words is "one trillion, nine hundred eighty-eight billion, two hundred thirty-five million, three hundred sixty-two thousand, three hundred four".