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202095257140 = 225773101195787
BaseRepresentation
bin1011110000110111010…
…0001110011000110100
3201022122100212202221201
42330031310032120310
511302342341212030
6232501414422244
720413052225260
oct2741564163064
9638570782851
10202095257140
117878755a977
1233201361984
13160994392ba
149ad24950a0
1553cc3a12ca
hex2f0dd0e634

202095257140 has 96 divisors (see below), whose sum is σ = 496543428864. Its totient is φ = 67663641600.

The previous prime is 202095257131. The next prime is 202095257141. The reversal of 202095257140 is 41752590202.

202095257140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 202095257140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202095257141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 934327 + ... + 1130113.

It is an arithmetic number, because the mean of its divisors is an integer number (5172327384).

Almost surely, 2202095257140 is an apocalyptic number.

202095257140 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 202095257140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248271714432).

202095257140 is an abundant number, since it is smaller than the sum of its proper divisors (294448171724).

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

202095257140 is a wasteful number, since it uses less digits than its factorization.

202095257140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195977 (or 195975 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 202095257140 in words is "two hundred two billion, ninety-five million, two hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 101 140 146 202 292 365 404 505 511 707 730 1010 1022 1414 1460 2020 2044 2555 2828 3535 5110 7070 7373 10220 14140 14746 29492 36865 51611 73730 103222 147460 195787 206444 258055 391574 516110 783148 978935 1032220 1370509 1957870 2741018 3915740 5482036 6852545 13705090 14292451 19774487 27410180 28584902 39548974 57169804 71462255 79097948 98872435 100047157 138421409 142924510 197744870 200094314 276842818 285849020 395489740 400188628 500235785 553685636 692107045 1000471570 1384214090 1443537551 2000943140 2768428180 2887075102 5774150204 7217687755 10104762857 14435375510 20209525714 28870751020 40419051428 50523814285 101047628570 202095257140