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290426506120 = 23541177089333
BaseRepresentation
bin1000011100111101100…
…01001100101110001000
31000202122022201011000201
410032132301030232020
514224243141143440
6341230423541544
726661016366432
oct4163661145610
91022568634021
10290426506120
11102195211693
12483532ba8b4
132150560362a
14100b18c3652
15784be9d19a
hex439ec4cb88

290426506120 has 32 divisors (see below), whose sum is σ = 669397682520. Its totient is φ = 113337172480.

The previous prime is 290426506109. The next prime is 290426506127. The reversal of 290426506120 is 21605624092.

It can be written as a sum of positive squares in 4 ways, for example, as 111092889636 + 179333616484 = 333306^2 + 423478^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 290426506120.

It is not an unprimeable number, because it can be changed into a prime (290426506127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88543027 + ... + 88546306.

Almost surely, 2290426506120 is an apocalyptic number.

290426506120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290426506120 is an abundant number, since it is smaller than the sum of its proper divisors (378971176400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

290426506120 is a wasteful number, since it uses less digits than its factorization.

290426506120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177089385 (or 177089381 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 290426506120 in words is "two hundred ninety billion, four hundred twenty-six million, five hundred six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 177089333 354178666 708357332 885446665 1416714664 1770893330 3541786660 7083573320 7260662653 14521325306 29042650612 36303313265 58085301224 72606626530 145213253060 290426506120