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201855249396 = 2234902969001
BaseRepresentation
bin1011101111111110000…
…0101010101111110100
3201022000122021010020000
42323333200222233310
511301344420440041
6232421522311300
720404106211243
oct2737740525764
9638018233200
10201855249396
1178674031569
1233154ab8530
131605b7b4a98
149aac65a95a
1553b6292bb6
hex2eff82abf4

201855249396 has 60 divisors (see below), whose sum is σ = 527755586820. Its totient is φ = 67276656000.

The previous prime is 201855249391. The next prime is 201855249403. The reversal of 201855249396 is 693942558102.

201855249396 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 5 + 5 + 249 + 396 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107003568996 + 94851680400 = 327114^2 + 307980^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201855249391) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2890896 + ... + 2959896.

It is an arithmetic number, because the mean of its divisors is an integer number (8795926447).

Almost surely, 2201855249396 is an apocalyptic number.

It is an amenable number.

201855249396 is an abundant number, since it is smaller than the sum of its proper divisors (325900337424).

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

201855249396 is a wasteful number, since it uses less digits than its factorization.

201855249396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78046 (or 78035 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 201855249396 in words is "two hundred one billion, eight hundred fifty-five million, two hundred forty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 9029 18058 27087 36116 54174 69001 81261 108348 138002 162522 207003 243783 276004 325044 414006 487566 621009 731349 828012 975132 1242018 1462698 1863027 2484036 2925396 3726054 5589081 7452108 11178162 22356324 623010029 1246020058 1869030087 2492040116 3738060174 5607090261 7476120348 11214180522 16821270783 22428361044 33642541566 50463812349 67285083132 100927624698 201855249396