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85029836724 = 22337431260959
BaseRepresentation
bin100111100110000101…
…1000101011110110100
322010110212122020212000
41033030023011132310
52343120114233344
6103021232255300
76100055454420
oct1171413053664
9263425566760
1085029836724
1133074142938
12145903a1530
13803120c271
144188ba5b80
152329d6aa69
hex13cc2c57b4

85029836724 has 96 divisors (see below), whose sum is σ = 252525772800. Its totient is φ = 24237779040.

The previous prime is 85029836719. The next prime is 85029836741. The reversal of 85029836724 is 42763892058.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 195357 + ... + 456315.

It is an arithmetic number, because the mean of its divisors is an integer number (2630476800).

Almost surely, 285029836724 is an apocalyptic number.

85029836724 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85029836724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126262886400).

85029836724 is an abundant number, since it is smaller than the sum of its proper divisors (167495936076).

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

85029836724 is a wasteful number, since it uses less digits than its factorization.

85029836724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261410 (or 261402 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 85029836724 in words is "eighty-five billion, twenty-nine million, eight hundred thirty-six thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 431 756 862 1293 1724 2586 3017 3879 5172 6034 7758 9051 11637 12068 15516 18102 23274 27153 36204 46548 54306 81459 108612 162918 260959 325836 521918 782877 1043836 1565754 1826713 2348631 3131508 3653426 4697262 5480139 7045893 7306852 9394524 10960278 14091786 16440417 21920556 28183572 32880834 49321251 65761668 98642502 112473329 197285004 224946658 337419987 449893316 674839974 787313303 1012259961 1349679948 1574626606 2024519922 2361939909 3036779883 3149253212 4049039844 4723879818 6073559766 7085819727 9447759636 12147119532 14171639454 21257459181 28343278908 42514918362 85029836724