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85057238528 = 29319715519
BaseRepresentation
bin100111100110111001…
…1100111011000000000
322010112210012102001122
41033031303213120000
52343144123113103
6103024051451412
76100540412153
oct1171563473000
9263483172048
1085057238528
1133088659259
12145995b6b68
138036ab4752
14418c699c9a
15232c47eb38
hex13cdce7600

85057238528 has 80 divisors (see below), whose sum is σ = 175643043840. Its totient is φ = 41106892800.

The previous prime is 85057238509. The next prime is 85057238537. The reversal of 85057238528 is 82583275058.

It is a self number, because there is not a number n which added to its sum of digits gives 85057238528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15408953 + ... + 15414471.

It is an arithmetic number, because the mean of its divisors is an integer number (2195538048).

Almost surely, 285057238528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85057238528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87821521920).

85057238528 is an abundant number, since it is smaller than the sum of its proper divisors (90585805312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85057238528 is an equidigital number, since it uses as much as digits as its factorization.

85057238528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6539 (or 6523 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 53.

The spelling of 85057238528 in words is "eighty-five billion, fifty-seven million, two hundred thirty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 971 992 1942 1984 3884 3968 5519 7768 7936 11038 15536 15872 22076 30101 31072 44152 60202 62144 88304 120404 124288 171089 176608 240808 248576 342178 353216 481616 497152 684356 706432 963232 1368712 1412864 1926464 2737424 2825728 3852928 5358949 5474848 7705856 10717898 10949696 15411712 21435796 21899392 42871592 43798784 85743184 87597568 166127419 171486368 332254838 342972736 664509676 685945472 1329019352 1371890944 2658038704 2743781888 5316077408 10632154816 21264309632 42528619264 85057238528