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1076329476369 = 327212723892
BaseRepresentation
bin11111010100110100011…
…11000111000100010001
310210220012020210120122100
433222122033013010101
5120113310321220434
62142243044031013
7140522306411400
oct17523217070421
93726166716570
101076329476369
11385517a25274
12154724692469
137a660b2a584
143a147915637
151cee7892699
hexfa9a3c7111

1076329476369 has 81 divisors (see below), whose sum is σ = 1827577003707. Its totient is φ = 608633893728.

The previous prime is 1076329476349. The next prime is 1076329476373. The reversal of 1076329476369 is 9636749236701.

The square root of 1076329476369 is 1037463.

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

1076329476369 is a `hidden beast` number, since 1 + 0 + 76 + 32 + 9 + 476 + 3 + 69 = 666.

1076329476369 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 254079507969 + 822249968400 = 504063^2 + 906780^2 .

It is not a de Polignac number, because 1076329476369 - 215 = 1076329443601 is a prime.

It is a super-2 number, since 2×10763294763692 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (1076329476349) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2766913627 + ... + 2766914015.

Almost surely, 21076329476369 is an apocalyptic number.

1076329476369 is the 1037463-rd square number.

1076329476369 is the 518732-nd centered octagonal number.

It is an amenable number.

1076329476369 is a deficient number, since it is larger than the sum of its proper divisors (751247527338).

1076329476369 is an frugal number, since it uses more digits than its factorization.

1076329476369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 1076329476369 in words is "one trillion, seventy-six billion, three hundred twenty-nine million, four hundred seventy-six thousand, three hundred sixty-nine".

Divisors: 1 3 7 9 21 49 63 127 147 381 389 441 889 1143 1167 2667 2723 3501 6223 8001 8169 16129 18669 19061 24507 48387 49403 56007 57183 112903 145161 148209 151321 171549 338709 345821 444627 453963 790321 1016127 1037463 1059247 1361889 2370963 2420747 3112389 3177741 6274181 7112889 7262241 7414729 9533223 18822543 19217767 21786723 22244187 43919267 56467629 57653301 66732561 131757801 134524369 172959903 307434869 395273403 403573107 922304607 941670583 1210719321 2440656409 2766913821 2825011749 7321969227 8475035247 17084594863 21965907681 51253784589 119592164041 153761353767 358776492123 1076329476369