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214888098234888 = 233313243157314723
BaseRepresentation
bin110000110111000010001000…
…110000110000001000001000
31001011212002202001001210011000
4300313002020300300020020
5211131211311122004023
62041010121323535000
763156103253303151
oct6067021060601010
91034762661053130
10214888098234888
1162519592372511
122012690538a460
1392b9b25cb0660
143b0c8d490c928
1519c9aec6a0243
hexc37088c30208

214888098234888 has 128 divisors (see below), whose sum is σ = 642832330492800. Its totient is φ = 66118932834048.

The previous prime is 214888098234877. The next prime is 214888098234899. The reversal of 214888098234888 is 888432890888412.

214888098234888 is a `hidden beast` number, since 2 + 1 + 48 + 8 + 8 + 0 + 98 + 2 + 3 + 488 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (214888098234877) and next prime (214888098234899).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682627495 + ... + 682942217.

It is an arithmetic number, because the mean of its divisors is an integer number (5022127581975).

Almost surely, 2214888098234888 is an apocalyptic number.

It is an amenable number.

214888098234888 is an abundant number, since it is smaller than the sum of its proper divisors (427944232257912).

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

214888098234888 is a wasteful number, since it uses less digits than its factorization.

214888098234888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557908 (or 557898 counting only the distinct ones).

The product of its (nonzero) digits is 3623878656, while the sum is 81.

The spelling of 214888098234888 in words is "two hundred fourteen trillion, eight hundred eighty-eight billion, ninety-eight million, two hundred thirty-four thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 243157 314723 486314 629446 729471 944169 972628 1258892 1458942 1888338 1945256 2188413 2517784 2832507 2917884 3161041 3776676 4091399 4376826 5665014 5835768 6322082 6565239 7553352 8182798 8497521 8753652 9483123 11330028 12274197 12644164 13130478 16365596 16995042 17507304 18966246 22660056 24548394 25288328 26260956 28449369 32731192 33990084 36822591 37932492 49096788 52521912 56898738 67980168 73645182 75864984 85348107 98193576 110467773 113797476 147290364 170696214 220935546 227594952 294580728 341392428 441871092 682784856 883742184 76527100511 153054201022 229581301533 306108402044 459162603066 612216804088 688743904599 918325206132 994852306643 1377487809198 1836650412264 1989704613286 2066231713797 2754975618396 2984556919929 3979409226572 4132463427594 5509951236792 5969113839858 7958818453144 8264926855188 8953670759787 11938227679716 16529853710376 17907341519574 23876455359432 26861012279361 35814683039148 53722024558722 71629366078296 107444049117444 214888098234888