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375436827441 = 3413252372
BaseRepresentation
bin1010111011010011100…
…01110101101100110001
31022220001211121220210000
411131221301311230301
522122343311434231
6444250122100213
736060450244014
oct5355161655461
91286054556700
10375436827441
11135249335295
126091904a669
132953276bc00
1414257c4937b
159b752616e6
hex5769c75b31

375436827441 has 45 divisors (see below), whose sum is σ = 607413645201. Its totient is φ = 230993931168.

The previous prime is 375436827347. The next prime is 375436827449. The reversal of 375436827441 is 144728634573.

The square root of 375436827441 is 612729.

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

375436827441 is a `hidden beast` number, since 3 + 7 + 5 + 4 + 368 + 274 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11029041 + 375425798400 = 3321^2 + 612720^2 .

It is not a de Polignac number, because 375436827441 - 27 = 375436827313 is a prime.

It is a super-2 number, since 2×3754368274412 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (375436827449) 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, 71686675 + ... + 71691911.

Almost surely, 2375436827441 is an apocalyptic number.

375436827441 is the 612729-th square number.

375436827441 is the 306365-th centered octagonal number.

It is an amenable number.

375436827441 is a deficient number, since it is larger than the sum of its proper divisors (231976817760).

375436827441 is an frugal number, since it uses more digits than its factorization.

375436827441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10512 (or 5253 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 375436827441 in words is "three hundred seventy-five billion, four hundred thirty-six million, eight hundred twenty-seven thousand, four hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 4563 5237 13689 15711 47133 68081 141399 204243 424197 612729 885053 1838187 2655159 5514561 7965477 23896431 27426169 71689293 82278507 246835521 356540197 740506563 1069620591 2221519689 3208861773 4635022561 9626585319 13905067683 28879755957 41715203049 125145609147 375436827441