Search a number
-
+
2030408405776 = 24192187492
BaseRepresentation
bin11101100010111101110…
…001011001001100010000
321012002211122121220202001
4131202331301121030100
5231231234022441101
64152431242403344
7266456261455222
oct35427561311420
97162748556661
102030408405776
11713100681153
1228960b800554
1311960b421a9a
14703b524a412
1537c378ca901
hex1d8bdc59310

2030408405776 has 45 divisors (see below), whose sum is σ = 4152083243061. Its totient is φ = 961721105472.

The previous prime is 2030408405713. The next prime is 2030408405789. The reversal of 2030408405776 is 6775048040302.

The square root of 2030408405776 is 1424924.

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., 1308452303376 + 721956102400 = 1143876^2 + 849680^2 .

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, 108284850 + ... + 108303598.

Almost surely, 22030408405776 is an apocalyptic number.

2030408405776 is the 1424924-th square number.

It is an amenable number.

2030408405776 is an abundant number, since it is smaller than the sum of its proper divisors (2121674837285).

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

2030408405776 is an frugal number, since it uses more digits than its factorization.

2030408405776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37544 (or 18770 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 46.

The spelling of 2030408405776 in words is "two trillion, thirty billion, four hundred eight million, four hundred five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 5776 18749 37498 74996 149992 299984 356231 712462 1424924 2849848 5699696 6768389 13536778 27073556 54147112 108294224 351525001 703050002 1406100004 2812200008 5624400016 6678975019 13357950038 26715900076 53431800152 106863600304 126900525361 253801050722 507602101444 1015204202888 2030408405776