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235561362540 = 2235773131223263
BaseRepresentation
bin1101101101100010001…
…1010010010001101100
3211112000200021002001220
43123120203102101230
512324412202100130
6300114305303340
723006300354550
oct3333043222154
9745020232056
10235561362540
11909a0280219
12397a1034b50
13192a093112a
14b588d97860
1561da43e410
hex36d88d246c

235561362540 has 384 divisors, whose sum is σ = 776348762112. Its totient is φ = 52263843840.

The previous prime is 235561362397. The next prime is 235561362557. The reversal of 235561362540 is 45263165532.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 235561362492 and 235561362501.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 895670449 + ... + 895670711.

It is an arithmetic number, because the mean of its divisors is an integer number (2021741568).

Almost surely, 2235561362540 is an apocalyptic number.

235561362540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235561362540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388174381056).

235561362540 is an abundant number, since it is smaller than the sum of its proper divisors (540787399572).

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

235561362540 is a wasteful number, since it uses less digits than its factorization.

235561362540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 235561362540 in words is "two hundred thirty-five billion, five hundred sixty-one million, three hundred sixty-two thousand, five hundred forty".