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1133460458881 = 83210121272
BaseRepresentation
bin10000011111100111100…
…000100000110110000001
311000100122210211012021121
4100133213200200312001
5122032311334141011
62224412103152241
7144614130635542
oct20374740406601
94010583735247
101133460458881
113a7774974aa3
12163809745681
1382b67073c7a
143cc0733a4c9
151e73d2c5e71
hex107e7820d81

1133460458881 has 27 divisors (see below), whose sum is σ = 1167948708483. Its totient is φ = 1099987081200.

The previous prime is 1133460458849. The next prime is 1133460458899. The reversal of 1133460458881 is 1888540643311.

The square root of 1133460458881 is 1064641.

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., 1089015386481 + 44445072400 = 1043559^2 + 210820^2 .

It is not a de Polignac number, because 1133460458881 - 25 = 1133460458849 is a prime.

It is a super-2 number, since 2×11334604588812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1133460458821) 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 26 ways as a sum of consecutive naturals, for example, 8924885440 + ... + 8924885566.

Almost surely, 21133460458881 is an apocalyptic number.

1133460458881 is the 1064641-st square number.

1133460458881 is the 532321-st centered octagonal number.

It is an amenable number.

1133460458881 is a deficient number, since it is larger than the sum of its proper divisors (34488249602).

1133460458881 is an frugal number, since it uses more digits than its factorization.

1133460458881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 1133460458881 in words is "one trillion, one hundred thirty-three billion, four hundred sixty million, four hundred fifty-eight thousand, eight hundred eighty-one".

Divisors: 1 83 101 127 6889 8383 10201 10541 12827 16129 695789 846683 874903 1064641 1295527 1338707 1629029 70274689 88365203 107528741 111112681 135209407 164531929 8924885503 11222380781 13656150107 1133460458881