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42950328345 = 325292372829
BaseRepresentation
bin101000000000000010…
…100000000000011001
311002212021121202010200
4220000002200000121
51200430241001340
631421530332413
73050230524111
oct500002400031
9132767552120
1042950328345
1117240382431
1283a7b8a109
134086394c92
142116364041
1511b5a18330
hexa000a0019

42950328345 has 108 divisors (see below), whose sum is σ = 79338675780. Its totient is φ = 21493237248.

The previous prime is 42950328329. The next prime is 42950328347. The reversal of 42950328345 is 54382305924.

42950328345 is a `hidden beast` number, since 4 + 29 + 503 + 2 + 83 + 45 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 4746107664 + 38204220681 = 68892^2 + 195459^2 .

It is not a de Polignac number, because 42950328345 - 24 = 42950328329 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 42950328345.

It is not an unprimeable number, because it can be changed into a prime (42950328347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 51809391 + ... + 51810219.

Almost surely, 242950328345 is an apocalyptic number.

42950328345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42950328345 is a deficient number, since it is larger than the sum of its proper divisors (36388347435).

42950328345 is a wasteful number, since it uses less digits than its factorization.

42950328345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 42950328345 in words is "forty-two billion, nine hundred fifty million, three hundred twenty-eight thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 29 37 45 87 111 145 185 261 333 435 555 829 841 1073 1305 1369 1665 2487 2523 3219 4107 4145 4205 5365 6845 7461 7569 9657 12321 12435 12615 16095 20535 24041 30673 31117 37305 37845 39701 48285 61605 72123 92019 93351 119103 120205 153365 155585 198505 216369 276057 280053 357309 360615 460095 466755 595515 697189 889517 1081845 1134901 1151329 1380285 1400265 1786545 2091567 2668551 3404703 3453987 3485945 4447585 5674505 5756645 6274701 8005653 10214109 10361961 10457835 13342755 17023515 17269935 25795993 31373505 32912129 40028265 51070545 51809805 77387979 98736387 128979965 164560645 232163937 296209161 386939895 493681935 954451741 1160819685 1481045805 2863355223 4772258705 8590065669 14316776115 42950328345