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213641162423808 = 293731640964509
BaseRepresentation
bin110000100100111000110101…
…100110000111111000000000
31001000102220011221100102112020
4300210320311212013320000
5211000244100040030213
62034213221202001440
763000031110631560
oct6044706546077000
91030386157312466
10213641162423808
1162088787635909
121bb65109046280
139229376722c92
143aa8404a08da0
1519a746c142923
hexc24e35987e00

213641162423808 has 160 divisors (see below), whose sum is σ = 671443654379520. Its totient is φ = 59071289057280.

The previous prime is 213641162423771. The next prime is 213641162423827. The reversal of 213641162423808 is 808324261146312.

It is a super-2 number, since 2×2136411624238082 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320148943 + ... + 320815566.

It is an arithmetic number, because the mean of its divisors is an integer number (4196522839872).

Almost surely, 2213641162423808 is an apocalyptic number.

213641162423808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

213641162423808 is an abundant number, since it is smaller than the sum of its proper divisors (457802491955712).

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

213641162423808 is an equidigital number, since it uses as much as digits as its factorization.

213641162423808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640964568 (or 640964552 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 213641162423808 in words is "two hundred thirteen trillion, six hundred forty-one billion, one hundred sixty-two million, four hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 512 651 672 744 768 868 896 992 1302 1344 1488 1536 1736 1792 1984 2604 2688 2976 3472 3584 3968 5208 5376 5952 6944 7936 10416 10752 11904 13888 15872 20832 23808 27776 41664 47616 55552 83328 111104 166656 333312 640964509 1281929018 1922893527 2563858036 3845787054 4486751563 5127716072 7691574108 8973503126 10255432144 13460254689 15383148216 17947006252 19869899779 20510864288 26920509378 30766296432 35894012504 39739799558 41021728576 53841018756 59609699337 61532592864 71788025008 79479599116 82043457152 107682037512 119219398674 123065185728 139089298453 143576050016 158959198232 164086914304 215364075024 238438797348 246130371456 278178596906 287152100032 317918396464 328173828608 417267895359 430728150048 476877594696 492260742912 556357193812 574304200064 635836792928 834535790718 861456300096 953755189392 984521485824 1112714387624 1148608400128 1271673585856 1669071581436 1722912600192 1907510378784 2225428775248 2297216800256 2543347171712 3338143162872 3445825200384 3815020757568 4450857550496 5086694343424 6676286325744 6891650400768 7630041515136 8901715100992 10173388686848 13352572651488 15260083030272 17803430201984 26705145302976 30520166060544 35606860403968 53410290605952 71213720807936 106820581211904 213641162423808