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85452228840 = 233511175336929
BaseRepresentation
bin100111110010101011…
…0011000100011101000
322011120022102222220110
41033211112120203220
52400001232310330
6103131201454320
76113404650336
oct1174526304350
9264508388813
1085452228840
1133270612330
12146899413a0
13809a890a24
1441c8d18b56
152351ea3db0
hex13e55988e8

85452228840 has 128 divisors (see below), whose sum is σ = 279828950400. Its totient is φ = 20703313920.

The previous prime is 85452228817. The next prime is 85452228847. The reversal of 85452228840 is 4882225458.

It is a self number, because there is not a number n which added to its sum of digits gives 85452228840.

It is not an unprimeable number, because it can be changed into a prime (85452228847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2295496 + ... + 2332424.

It is an arithmetic number, because the mean of its divisors is an integer number (2186163675).

Almost surely, 285452228840 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 85452228840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139914475200).

85452228840 is an abundant number, since it is smaller than the sum of its proper divisors (194376721560).

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

85452228840 is a wasteful number, since it uses less digits than its factorization.

85452228840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38707 (or 38703 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 48.

The spelling of 85452228840 in words is "eighty-five billion, four hundred fifty-two million, two hundred twenty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1753 3506 5259 7012 8765 10518 14024 17530 19283 21036 26295 35060 36929 38566 42072 52590 57849 70120 73858 77132 96415 105180 110787 115698 147716 154264 184645 192830 210360 221574 231396 289245 295432 369290 385660 406219 443148 462792 553935 578490 738580 771320 812438 886296 1107870 1156980 1218657 1477160 1624876 2031095 2215740 2313960 2437314 3249752 4062190 4431480 4874628 6093285 8124380 9749256 12186570 16248760 24373140 48746280 64736537 129473074 194209611 258946148 323682685 388419222 517892296 647365370 712101907 776838444 971048055 1294730740 1424203814 1553676888 1942096110 2136305721 2589461480 2848407628 3560509535 3884192220 4272611442 5696815256 7121019070 7768384440 8545222884 10681528605 14242038140 17090445768 21363057210 28484076280 42726114420 85452228840