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202045389832 = 2311132918133647
BaseRepresentation
bin1011110000101011010…
…1111111110000001000
3201022111220001020212101
42330022311333300020
511302242104433312
6232452433523144
720411605322446
oct2741265776010
9638456036771
10202045389832
117876139a920
12331a87134b4
131608bcc9410
149ac99d3b96
1553c7d00a57
hex2f0ad7fc08

202045389832 has 128 divisors (see below), whose sum is σ = 462969561600. Its totient is φ = 81396403200.

The previous prime is 202045389829. The next prime is 202045389839. The reversal of 202045389832 is 238983540202.

It is a happy number.

202045389832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (202045389839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5988033 + ... + 6021679.

It is an arithmetic number, because the mean of its divisors is an integer number (3616949700).

Almost surely, 2202045389832 is an apocalyptic number.

202045389832 is a gapful number since it is divisible by the number (22) 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 202045389832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231484780800).

202045389832 is an abundant number, since it is smaller than the sum of its proper divisors (260924171768).

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

202045389832 is a wasteful number, since it uses less digits than its factorization.

202045389832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33887 (or 33883 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 202045389832 in words is "two hundred two billion, forty-five million, three hundred eighty-nine thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 29 44 52 58 88 104 116 143 181 232 286 319 362 377 572 638 724 754 1144 1276 1448 1508 1991 2353 2552 3016 3982 4147 4706 5249 7964 8294 9412 10498 15928 16588 18824 20996 25883 33176 33647 41992 51766 57739 67294 68237 103532 115478 134588 136474 207064 230956 269176 272948 370117 437411 461912 545896 740234 750607 874822 975763 1480468 1501214 1749644 1951526 2960936 3002428 3499288 3903052 4811521 6004856 6090107 7806104 9623042 10733393 12180214 12684919 19246084 21466786 24360428 25369838 38492168 42933572 48720856 50739676 66991177 79171391 85867144 101479352 133982354 139534109 158342782 176613103 267964708 279068218 316685564 353226206 535929416 558136436 633371128 706452412 870885301 1116272872 1412904824 1741770602 1942744133 2295970339 3483541204 3885488266 4591940678 6967082408 7770976532 9183881356 15541953064 18367762712 25255673729 50511347458 101022694916 202045389832