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12153653290863 = 3371961331167623
BaseRepresentation
bin1011000011011011111000…
…1011111110011101101111
31121000212200222212000121000
42300312332023332131233
53043111140220301423
641503151121211343
72363033600310360
oct260667613763557
947025628760530
1012153653290863
11396637648a4a7
121443561a90b53
136a2113aba3c6
14300350631b67
151612275db843
hexb0dbe2fe76f

12153653290863 has 128 divisors (see below), whose sum is σ = 22082383462400. Its totient is φ = 6451971926400.

The previous prime is 12153653290781. The next prime is 12153653290871. The reversal of 12153653290863 is 36809235635121.

12153653290863 is a `hidden beast` number, since 1 + 2 + 1 + 536 + 5 + 3 + 29 + 0 + 86 + 3 = 666.

It is not a de Polignac number, because 12153653290863 - 214 = 12153653274479 is a prime.

It is a super-2 number, since 2×121536532908632 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12153653294863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72422070 + ... + 72589692.

It is an arithmetic number, because the mean of its divisors is an integer number (172518620800).

Almost surely, 212153653290863 is an apocalyptic number.

12153653290863 is a deficient number, since it is larger than the sum of its proper divisors (9928730171537).

12153653290863 is a wasteful number, since it uses less digits than its factorization.

12153653290863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168050 (or 168044 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 12153653290863 in words is "twelve trillion, one hundred fifty-three billion, six hundred fifty-three million, two hundred ninety thousand, eight hundred sixty-three".

Divisors: 1 3 7 9 19 21 27 57 61 63 133 171 183 189 331 399 427 513 549 993 1159 1197 1281 1647 2317 2979 3477 3591 3843 6289 6951 8113 8937 10431 11529 18867 20191 20853 24339 31293 44023 56601 60573 62559 73017 132069 141337 167623 169803 181719 219051 383629 396207 424011 502869 545157 1150887 1173361 1188621 1272033 1508607 2685403 3184837 3452661 3520083 3816099 4525821 8056209 9554511 10225003 10357983 10560249 22293859 24168627 28663533 30675009 31680747 55483213 66881577 71575021 72505881 85990599 92025027 166449639 194275057 200644731 214725063 276075081 388382491 499348917 582825171 601934193 644175189 1054181047 1165147473 1359925399 1498046751 1748475513 1932525567 3162543141 3384475993 3495442419 4079776197 5245426539 7379267329 9487629423 10153427979 10486327257 12239328591 22137801987 23691331951 28462888269 30460283937 36717985773 64305043867 66413405961 71073995853 91380851811 192915131601 199240217883 213221987559 450135307069 578745394803 639665962677 1350405921207 1736236184409 4051217763621 12153653290863