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85642753053 = 311135316092341
BaseRepresentation
bin100111111000010110…
…1001011010000011101
322012001120221121222210
41033300231023100131
52400344021044203
6103202125231033
76121210250454
oct1176055132035
9265046847883
1085642753053
1133359112a60
1214721702479
1380cb1aac50
144206351b9b
152363a8a803
hex13f0b4b41d

85642753053 has 64 divisors (see below), whose sum is σ = 136828258560. Its totient is φ = 46958745600.

The previous prime is 85642753019. The next prime is 85642753073. The reversal of 85642753053 is 35035724658.

It is a happy number.

It is not a de Polignac number, because 85642753053 - 210 = 85642752029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85642752993 and 85642753011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85642753073) 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 63 ways as a sum of consecutive naturals, for example, 36582663 + ... + 36585003.

It is an arithmetic number, because the mean of its divisors is an integer number (2137941540).

Almost surely, 285642753053 is an apocalyptic number.

It is an amenable number.

85642753053 is a deficient number, since it is larger than the sum of its proper divisors (51185505507).

85642753053 is a wasteful number, since it uses less digits than its factorization.

85642753053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030.

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 85642753053 in words is "eighty-five billion, six hundred forty-two million, seven hundred fifty-three thousand, fifty-three".

Divisors: 1 3 11 13 33 39 53 143 159 429 583 689 1609 1749 2067 2341 4827 7023 7579 17699 20917 22737 25751 30433 53097 62751 77253 85277 91299 124073 230087 255831 334763 372219 690261 938047 1004289 1108601 1364803 1612949 2814141 3325803 3766669 4094409 4838847 11300007 12194611 17742439 36583833 41433359 48966697 53227317 124300077 146900091 199633457 538633667 598900371 1615901001 2195968027 2595234941 6587904081 7785704823 28547584351 85642753053