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379506372453 = 321353372
BaseRepresentation
bin1011000010111000101…
…01111010111101100101
31100021120110012020001100
411201130111322331211
522204212112404303
6450202014350313
736263343640515
oct5413425727545
91307513166040
10379506372453
11136a474a972a
1261673abb399
1329a30900000
1414522503845
159d126728a3
hex585c57af65

379506372453 has 54 divisors (see below), whose sum is σ = 595624487094. Its totient is φ = 232849378944.

The previous prime is 379506372353. The next prime is 379506372481. The reversal of 379506372453 is 354273605973.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

379506372453 is a `hidden beast` number, since 3 + 79 + 50 + 6 + 3 + 72 + 453 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 175421081889 + 204085290564 = 418833^2 + 451758^2 .

It is not a de Polignac number, because 379506372453 - 216 = 379506306917 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 379506372453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379506372493) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1126131501 + ... + 1126131837.

Almost surely, 2379506372453 is an apocalyptic number.

It is an amenable number.

379506372453 is a deficient number, since it is larger than the sum of its proper divisors (216118114641).

379506372453 is an frugal number, since it uses more digits than its factorization.

379506372453 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 54.

The spelling of 379506372453 in words is "three hundred seventy-nine billion, five hundred six million, three hundred seventy-two thousand, four hundred fifty-three".

Divisors: 1 3 9 13 39 117 169 337 507 1011 1521 2197 3033 4381 6591 13143 19773 28561 39429 56953 85683 113569 170859 257049 340707 371293 512577 740389 1022121 1113879 1476397 2221167 3341637 4429191 6663501 9625057 13287573 19193161 28875171 57579483 86625513 125125741 172738449 249511093 375377223 748533279 1126131669 2245599837 3243644209 9730932627 29192797881 42167374717 126502124151 379506372453