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85429396104 = 233132272714451
BaseRepresentation
bin100111110001111111…
…1010010001010001000
322011111201110222021120
41033203333102022020
52344424411133404
6103125024235240
76113006612523
oct1174377221210
9264451428246
1085429396104
11332597377a8
121468216bb20
138095c28130
1441c5c93bba
15234ee939d9
hex13e3fd2288

85429396104 has 128 divisors (see below), whose sum is σ = 231919994880. Its totient is φ = 26067744000.

The previous prime is 85429396099. The next prime is 85429396123. The reversal of 85429396104 is 40169392458.

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, 19191079 + ... + 19195529.

It is an arithmetic number, because the mean of its divisors is an integer number (1811874960).

Almost surely, 285429396104 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 85429396104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115959997440).

85429396104 is an abundant number, since it is smaller than the sum of its proper divisors (146490598776).

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

85429396104 is a wasteful number, since it uses less digits than its factorization.

85429396104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 85429396104 in words is "eighty-five billion, four hundred twenty-nine million, three hundred ninety-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 227 271 312 454 542 681 813 908 1084 1362 1626 1816 2168 2724 2951 3252 3523 4451 5448 5902 6504 7046 8853 8902 10569 11804 13353 14092 17706 17804 21138 23608 26706 28184 35412 35608 42276 53412 57863 61517 70824 84552 106824 115726 123034 173589 184551 231452 246068 347178 369102 462904 492136 694356 738204 799721 1010377 1206221 1388712 1476408 1599442 2020754 2399163 2412442 3031131 3198884 3618663 4041508 4798326 4824884 6062262 6397768 7237326 8083016 9596652 9649768 12124524 13134901 14474652 15680873 19193304 24249048 26269802 28949304 31361746 39404703 47042619 52539604 62723492 78809406 94085238 105079208 125446984 157618812 188170476 273812167 315237624 376340952 547624334 821436501 1095248668 1642873002 2190497336 3285746004 3559558171 6571492008 7119116342 10678674513 14238232684 21357349026 28476465368 42714698052 85429396104