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85954200521 = 72914927710259
BaseRepresentation
bin101000000001101000…
…1010000001111001001
322012212021222210121012
41100003101100033021
52402013233404041
6103253052453305
76132011435540
oct1200321201711
9265767883535
1085954200521
11334a89a6062
12147a9a7a235
13814a8863a7
144235865157
1523810ab3eb
hex14034503c9

85954200521 has 32 divisors (see below), whose sum is σ = 102682080000. Its totient is φ = 70395155712.

The previous prime is 85954200517. The next prime is 85954200533. The reversal of 85954200521 is 12500245958.

It is not a de Polignac number, because 85954200521 - 22 = 85954200517 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85954200581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8373290 + ... + 8383548.

It is an arithmetic number, because the mean of its divisors is an integer number (3208815000).

Almost surely, 285954200521 is an apocalyptic number.

It is an amenable number.

85954200521 is a deficient number, since it is larger than the sum of its proper divisors (16727879479).

85954200521 is a wasteful number, since it uses less digits than its factorization.

85954200521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10721.

The product of its (nonzero) digits is 144000, while the sum is 41.

The spelling of 85954200521 in words is "eighty-five billion, nine hundred fifty-four million, two hundred thousand, five hundred twenty-one".

Divisors: 1 7 29 149 203 277 1043 1939 4321 8033 10259 30247 41273 56231 71813 288911 297511 1196917 1528591 2082577 2841743 8378419 10700137 19892201 44329139 82410547 310303973 423419707 576873829 2963937949 12279171503 85954200521