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1642143016755 = 3256710343112269
BaseRepresentation
bin10111111001010111010…
…110011110011100110011
312210222122202210112210200
4113321113112132130303
5203401102103014010
63254220131530243
7226432556223063
oct27712726363463
95728582715720
101642143016755
11583479a1675a
12226312459983
13bbb12c78147
14596a17413a3
152cab12cdcc0
hex17e5759e733

1642143016755 has 96 divisors (see below), whose sum is σ = 2923917834240. Its totient is φ = 852309976320.

The previous prime is 1642143016711. The next prime is 1642143016757. The reversal of 1642143016755 is 5576103412461.

It is a happy number.

1642143016755 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 1 + 430 + 167 + 55 = 666.

It is not a de Polignac number, because 1642143016755 - 26 = 1642143016691 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1642143016755.

It is not an unprimeable number, because it can be changed into a prime (1642143016757) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133838761 + ... + 133851029.

It is an arithmetic number, because the mean of its divisors is an integer number (30457477440).

Almost surely, 21642143016755 is an apocalyptic number.

1642143016755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1642143016755 is a deficient number, since it is larger than the sum of its proper divisors (1281774817485).

1642143016755 is a wasteful number, since it uses less digits than its factorization.

1642143016755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12881 (or 12878 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1642143016755 in words is "one trillion, six hundred forty-two billion, one hundred forty-three million, sixteen thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 15 45 67 103 201 309 335 431 515 603 927 1005 1293 1545 2155 3015 3879 4635 6465 6901 12269 19395 20703 28877 34505 36807 44393 61345 62109 86631 103515 110421 133179 144385 184035 221965 259893 310545 399537 433155 552105 665895 822023 1263707 1299465 1997685 2466069 2974331 3791121 4110115 5287939 6318535 7398207 8922993 11373363 12330345 14871655 15863817 18955605 26439695 26768979 36991035 44614965 47591451 56866815 79319085 84668369 133844895 237957255 254005107 354291913 423341845 544657717 762015321 1062875739 1270025535 1633973151 1771459565 2723288585 3188627217 3810076605 4901919453 5314378695 8169865755 15943136085 24509597265 36492067039 109476201117 182460335195 328428603351 547381005585 1642143016755