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15057403269769 = 72457212132
BaseRepresentation
bin1101101100011101001100…
…1011000101001010001001
31222022110210022201121210001
43123013103023011022021
53433200030214113034
652005135304523001
73112601330012200
oct333072313051211
958273708647701
1015057403269769
1148858996667a3
121832285a80461
13852ba39b00b3
143a0ad4538237
151b1a26e30a14
hexdb1d32c5289

15057403269769 has 27 divisors (see below), whose sum is σ = 17568650008917. Its totient is φ = 12867487464384.

The previous prime is 15057403269721. The next prime is 15057403269781. The reversal of 15057403269769 is 96796230475051.

The square root of 15057403269769 is 3880387.

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

It can be written as a sum of positive squares in 4 ways, for example, as 446508613369 + 14610894656400 = 668213^2 + 3822420^2 .

It is not a de Polignac number, because 15057403269769 - 27 = 15057403269641 is a prime.

It is a super-2 number, since 2×150574032697692 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 15057403269769.

It is not an unprimeable number, because it can be changed into a prime (15057403264769) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12413357407 + ... + 12413358619.

It is an arithmetic number, because the mean of its divisors is an integer number (650690741071).

Almost surely, 215057403269769 is an apocalyptic number.

15057403269769 is the 3880387-th square number.

15057403269769 is the 1940194-th centered octagonal number.

It is an amenable number.

15057403269769 is a deficient number, since it is larger than the sum of its proper divisors (2511246739148).

15057403269769 is an frugal number, since it uses more digits than its factorization.

15057403269769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 64.

Multiplying 15057403269769 by its sum of digits (64), we get a square (963673809265216 = 310430962).

The spelling of 15057403269769 in words is "fifteen trillion, fifty-seven billion, four hundred three million, two hundred sixty-nine thousand, seven hundred sixty-nine".

Divisors: 1 7 49 457 1213 3199 8491 22393 59437 208849 554341 1461943 1471369 3880387 10233601 10299583 27162709 72097081 253333837 672415633 1773336859 4706909431 12413358013 32948366017 307293944281 2151057609967 15057403269769