Search a number
-
+
1157133088785 = 351923176526787
BaseRepresentation
bin10000110101101010100…
…000011011100000010001
311002121202121001101122010
4100311222200123200101
5122424302032320120
62243325105533133
7146412556653342
oct20655240334021
94077677041563
101157133088785
1140681250a243
121683156441a9
138516a5ab59b
14400112ba0c9
152017669d7e0
hex10d6a81b811

1157133088785 has 32 divisors (see below), whose sum is σ = 2033588597760. Its totient is φ = 559236858048.

The previous prime is 1157133088781. The next prime is 1157133088847. The reversal of 1157133088785 is 5878803317511.

It is not a de Polignac number, because 1157133088785 - 22 = 1157133088781 is a prime.

It is a super-2 number, since 2×11571330887852 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (1157133088781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88256839 + ... + 88269948.

It is an arithmetic number, because the mean of its divisors is an integer number (63549643680).

Almost surely, 21157133088785 is an apocalyptic number.

1157133088785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1157133088785 is a deficient number, since it is larger than the sum of its proper divisors (876455508975).

1157133088785 is a wasteful number, since it uses less digits than its factorization.

1157133088785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176526837.

The product of its (nonzero) digits is 5644800, while the sum is 57.

The spelling of 1157133088785 in words is "one trillion, one hundred fifty-seven billion, one hundred thirty-three million, eighty-eight thousand, seven hundred eighty-five".

Divisors: 1 3 5 15 19 23 57 69 95 115 285 345 437 1311 2185 6555 176526787 529580361 882633935 2647901805 3354008953 4060116101 10062026859 12180348303 16770044765 20300580505 50310134295 60901741515 77142205919 231426617757 385711029595 1157133088785