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405492589089 = 3272303232
BaseRepresentation
bin1011110011010010011…
…11011110001000100001
31102202122110211210202100
411321221033132020201
523120422100322324
6510140345241013
741203325065200
oct5715117361041
91382573753670
10405492589089
11146a71aa4925
1266706793169
132c312558a63
14158a984b237
15a833c024c9
hex5e693de221

405492589089 has 27 divisors (see below), whose sum is σ = 681360357873. Its totient is φ = 231702409512.

The previous prime is 405492589079. The next prime is 405492589091. The reversal of 405492589089 is 980985294504.

The square root of 405492589089 is 636783.

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

405492589089 is a `hidden beast` number, since 4 + 0 + 5 + 49 + 2 + 589 + 0 + 8 + 9 = 666.

It is not a de Polignac number, because 405492589089 - 29 = 405492588577 is a prime.

It is a super-2 number, since 2×4054925890892 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (405492589049) 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, 13357282 + ... + 13387604.

Almost surely, 2405492589089 is an apocalyptic number.

405492589089 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

405492589089 is the 636783-rd square number.

405492589089 is the 318392-nd centered octagonal number.

It is an amenable number.

405492589089 is a deficient number, since it is larger than the sum of its proper divisors (275867768784).

405492589089 is an frugal number, since it uses more digits than its factorization.

405492589089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60666 (or 30333 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 405492589089 in words is "four hundred five billion, four hundred ninety-two million, five hundred eighty-nine thousand, eighty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 30323 90969 212261 272907 636783 1485827 1910349 4457481 13372443 919484329 2758452987 6436390303 8275358961 19309170909 45054732121 57927512727 135164196363 405492589089