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642570075246 = 231143673379351
BaseRepresentation
bin10010101100111000010…
…10010011110001101110
32021102120210221221102210
421112130022103301232
541011440414401441
61211105334431250
764265325343401
oct11263412236156
92242523857383
10642570075246
11228570068170
12a464b502526
1348795306048
1423159d03d38
1511aac2c3616
hex959c293c6e

642570075246 has 64 divisors (see below), whose sum is σ = 1455987050496. Its totient is φ = 187351164000.

The previous prime is 642570075241. The next prime is 642570075269.

642570075246 is nontrivially palindromic in base 10.

642570075246 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 642570075195 and 642570075204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642570075241) 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, 1499530 + ... + 1879821.

It is an arithmetic number, because the mean of its divisors is an integer number (22749797664).

Almost surely, 2642570075246 is an apocalyptic number.

642570075246 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

642570075246 is an abundant number, since it is smaller than the sum of its proper divisors (813416975250).

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

642570075246 is a wasteful number, since it uses less digits than its factorization.

642570075246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379477.

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 642570075246 in words is "six hundred forty-two billion, five hundred seventy million, seventy-five thousand, two hundred forty-six".

Divisors: 1 2 3 6 11 22 33 43 66 67 86 129 134 201 258 402 473 737 946 1419 1474 2211 2838 2881 4422 5762 8643 17286 31691 63382 95073 190146 3379351 6758702 10138053 20276106 37172861 74345722 111518583 145312093 223037166 226416517 290624186 435936279 452833034 679249551 871872558 1358499102 1598433023 2490581687 3196866046 4795299069 4981163374 7471745061 9590598138 9735910231 14943490122 19471820462 29207730693 58415461386 107095012541 214190025082 321285037623 642570075246