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85008380005381 = 7217865331179329
BaseRepresentation
bin10011010101000010001110…
…010010110000110000000101
3102010222201111011102112022211
4103111002032102300300011
542120234130240133011
6500444151033423421
723622436621550200
oct2325021622606005
9363881434375284
1085008380005381
11250a4940392788
12964b23a56ab71
1338583430ca041
1416dc5db282937
159c63e2bb9b21
hex4d508e4b0c05

85008380005381 has 24 divisors (see below), whose sum is σ = 104705497917720. Its totient is φ = 68577338253312.

The previous prime is 85008380005343. The next prime is 85008380005397. The reversal of 85008380005381 is 18350008380058.

It can be written as a sum of positive squares in 4 ways, for example, as 212552349156 + 84795827656225 = 461034^2 + 9208465^2 .

It is not a de Polignac number, because 85008380005381 - 227 = 85008245787653 is a prime.

It is a super-2 number, since 2×850083800053812 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85008380005181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71492325 + ... + 72671653.

It is an arithmetic number, because the mean of its divisors is an integer number (4362729079905).

Almost surely, 285008380005381 is an apocalyptic number.

It is an amenable number.

85008380005381 is a deficient number, since it is larger than the sum of its proper divisors (19697117912339).

85008380005381 is a wasteful number, since it uses less digits than its factorization.

85008380005381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265893 (or 1265886 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 49.

The spelling of 85008380005381 in words is "eighty-five trillion, eight billion, three hundred eighty million, five thousand, three hundred eighty-one".

Divisors: 1 7 17 49 119 833 86533 605731 1179329 1471061 4240117 8255303 10297427 20048593 57787121 72081989 140340151 982381057 102050876357 714356134499 1734864898069 5000492941493 12144054286483 85008380005381