Search a number
-
+
1149761983770 = 232537345273869
BaseRepresentation
bin10000101110110011001…
…001111001010100011010
311001220201220000110110200
4100232303021321110122
5122314203031440040
62240105433323030
7146032113416301
oct20566311712432
94056656013420
101149761983770
1140367a735a14
121669b8b66476
138456444009a
143d91235b438
151ed944cc630
hex10bb327951a

1149761983770 has 48 divisors (see below), whose sum is σ = 3070175252040. Its totient is φ = 298316621952.

The previous prime is 1149761983763. The next prime is 1149761983793. The reversal of 1149761983770 is 773891679411.

1149761983770 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 7 + 619 + 8 + 3 + 7 + 7 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1135420244721 + 14341739049 = 1065561^2 + 119757^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1149761983698 and 1149761983707.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172633605 + ... + 172640264.

Almost surely, 21149761983770 is an apocalyptic number.

1149761983770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1149761983770 is an abundant number, since it is smaller than the sum of its proper divisors (1920413268270).

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

1149761983770 is a wasteful number, since it uses less digits than its factorization.

1149761983770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345273919 (or 345273916 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 63.

The spelling of 1149761983770 in words is "one trillion, one hundred forty-nine billion, seven hundred sixty-one million, nine hundred eighty-three thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 345273869 690547738 1035821607 1726369345 2071643214 3107464821 3452738690 5179108035 6214929642 10358216070 12775133153 15537324105 25550266306 31074648210 38325399459 63875665765 76650798918 114976198377 127751331530 191626997295 229952396754 383253994590 574880991885 1149761983770