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214319052133956 = 22347118590630597
BaseRepresentation
bin110000101110110000001010…
…111110001001011001000100
31001002211200221020102201120000
4300232300022332021121010
5211042400404321241311
62035452451403041300
763100016622246630
oct6056601276113104
91032750836381500
10214319052133956
116231a221709490
1220054574b10230
13927827a233973
143acd15165ddc0
1519b9de5083056
hexc2ec0af89644

214319052133956 has 120 divisors (see below), whose sum is σ = 698521355184576. Its totient is φ = 55667286262080.

The previous prime is 214319052133933. The next prime is 214319052133957. The reversal of 214319052133956 is 659331250913412.

It is a happy number.

214319052133956 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 190 + 52 + 13 + 395 + 6 = 666.

It is a super-2 number, since 2×2143190521339562 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (214319052133957) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4295290351 + ... + 4295340246.

Almost surely, 2214319052133956 is an apocalyptic number.

It is an amenable number.

214319052133956 is an abundant number, since it is smaller than the sum of its proper divisors (484202303050620).

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

214319052133956 is a wasteful number, since it uses less digits than its factorization.

214319052133956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8590630631 (or 8590630620 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 214319052133956 in words is "two hundred fourteen trillion, three hundred nineteen billion, fifty-two million, one hundred thirty-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 252 297 308 324 378 396 462 567 594 693 756 891 924 1134 1188 1386 1782 2079 2268 2772 3564 4158 6237 8316 12474 24948 8590630597 17181261194 25771891791 34362522388 51543783582 60134414179 77315675373 94496936567 103087567164 120268828358 154631350746 180403242537 188993873134 231947026119 240537656716 283490809701 309262701492 360806485074 377987746268 463894052238 541209727611 566981619402 661478555969 695841078357 721612970148 850472429103 927788104476 1082419455222 1133963238804 1322957111938 1391682156714 1623629182833 1700944858206 1984435667907 2164838910444 2551417287309 2645914223876 2783364313428 3247258365666 3401889716412 3968871335814 4870887548499 5102834574618 5953307003721 6494516731332 7654251861927 7937742671628 9741775096998 10205669149236 11906614007442 15308503723854 17859921011163 19483550193996 23813228014884 30617007447708 35719842022326 53579763033489 71439684044652 107159526066978 214319052133956