Search a number
-
+
1149009148818 = 232271397593323
BaseRepresentation
bin10000101110000110010…
…010000011101110010010
311001211210102102111001200
4100232012102003232102
5122311132320230233
62235503021412030
7146004342422226
oct20560622035622
94054712374050
101149009148818
11403323789973
12166828a0a016
138447449210b
143d88038c786
151ed4d370313
hex10b86483b92

1149009148818 has 48 divisors (see below), whose sum is σ = 2505004434816. Its totient is φ = 380627929440.

The previous prime is 1149009148817. The next prime is 1149009148829. The reversal of 1149009148818 is 8188419009411.

1149009148818 is a `hidden beast` number, since 1 + 1 + 490 + 0 + 9 + 148 + 8 + 1 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1149009148817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1639905 + ... + 2233227.

It is an arithmetic number, because the mean of its divisors is an integer number (52187592392).

Almost surely, 21149009148818 is an apocalyptic number.

1149009148818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1149009148818 is an abundant number, since it is smaller than the sum of its proper divisors (1355995285998).

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

1149009148818 is a wasteful number, since it uses less digits than its factorization.

1149009148818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593999 (or 593996 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 54.

The spelling of 1149009148818 in words is "one trillion, one hundred forty-nine billion, nine million, one hundred forty-eight thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 271 397 542 794 813 1191 1626 2382 2439 3573 4878 7146 107587 215174 322761 593323 645522 968283 1186646 1779969 1936566 3559938 5339907 10679814 160790533 235549231 321581066 471098462 482371599 706647693 964743198 1413295386 1447114797 2119943079 2894229594 4239886158 63833841601 127667683202 191501524803 383003049606 574504574409 1149009148818