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1055022742449 = 3413287792
BaseRepresentation
bin11110101101001000100…
…00010111101110110001
310201212012100102100110000
433112210100113232301
5114241141310224244
62124400514500213
7136136306226534
oct17264420275661
93655170370400
101055022742449
11377483919765
12150578b94669
13786467ca900
14390c5c78a1b
151c69c056169
hexf5a4417bb1

1055022742449 has 45 divisors (see below), whose sum is σ = 1706774047803. Its totient is φ = 649170810288.

The previous prime is 1055022742447. The next prime is 1055022742481. The reversal of 1055022742449 is 9442472205501.

The square root of 1055022742449 is 1027143.

It is a perfect power (a square), and thus also a powerful number.

1055022742449 is a `hidden beast` number, since 1 + 0 + 550 + 2 + 2 + 74 + 24 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 156068453025 + 898954289424 = 395055^2 + 948132^2 .

It is not a de Polignac number, because 1055022742449 - 21 = 1055022742447 is a prime.

It is a super-2 number, since 2×10550227424492 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055022742447) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 120171342 + ... + 120180120.

Almost surely, 21055022742449 is an apocalyptic number.

1055022742449 is the 1027143-rd square number.

1055022742449 is the 513572-nd centered octagonal number.

It is an amenable number.

1055022742449 is a deficient number, since it is larger than the sum of its proper divisors (651751305354).

1055022742449 is an frugal number, since it uses more digits than its factorization.

1055022742449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17596 (or 8795 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1055022742449 in words is "one trillion, fifty-five billion, twenty-two million, seven hundred forty-two thousand, four hundred forty-nine".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 4563 8779 13689 26337 79011 114127 237033 342381 711099 1027143 1483651 3081429 4450953 9244287 13352859 40058577 77070841 120175731 231212523 693637569 1001920933 2080912707 3005762799 6242738121 9017288397 13024972129 27051865191 39074916387 81155595573 117224749161 351674247483 1055022742449