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201433553152 = 2813241251149
BaseRepresentation
bin1011101110011001100…
…0000001100100000000
3201020221020202201201121
42323212120001210000
511300013442200102
6232312020042024
720360465644156
oct2734630014400
9636836681647
10201433553152
1178477a97977
1233057833314
1315cc2317c90
149a6c6493d6
15538e245b37
hex2ee6601900

201433553152 has 72 divisors (see below), whose sum is σ = 434807958200. Its totient is φ = 92583198720.

The previous prime is 201433553089. The next prime is 201433553161. The reversal of 201433553152 is 251355334102.

It can be written as a sum of positive squares in 4 ways, for example, as 53534853376 + 147898699776 = 231376^2 + 384576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 676474 + ... + 927622.

Almost surely, 2201433553152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201433553152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217403979100).

201433553152 is an abundant number, since it is smaller than the sum of its proper divisors (233374405048).

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

201433553152 is a wasteful number, since it uses less digits than its factorization.

201433553152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251419 (or 251405 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

Adding to 201433553152 its reverse (251355334102), we get a palindrome (452788887254).

The spelling of 201433553152 in words is "two hundred one billion, four hundred thirty-three million, five hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 241 256 416 482 832 964 1664 1928 3133 3328 3856 6266 7712 12532 15424 25064 30848 50128 61696 100256 200512 251149 401024 502298 802048 1004596 2009192 3264937 4018384 6529874 8036768 13059748 16073536 26119496 32147072 52238992 60526909 64294144 104477984 121053818 208955968 242107636 417911936 484215272 786849817 835823872 968430544 1573699634 1936861088 3147399268 3873722176 6294798536 7747444352 12589597072 15494888704 25179194144 50358388288 100716776576 201433553152