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1358817161148 = 2234171912984149
BaseRepresentation
bin10011110001011111110…
…100000110111110111100
311210220100022012211010000
4103301133310012332330
5134230324143124043
62520122035314300
7200112520204326
oct23613764067674
94726308184100
101358817161148
114842a8954987
1219b42114b990
139b19c78b385
1449aa4cd8616
152552c8cc2d3
hex13c5fd06fbc

1358817161148 has 120 divisors (see below), whose sum is σ = 3959127018000. Its totient is φ = 403858939392.

The previous prime is 1358817161099. The next prime is 1358817161153. The reversal of 1358817161148 is 8411617188531.

1358817161148 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 8 + 17 + 1 + 611 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1358817161094 and 1358817161103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6387423 + ... + 6596726.

It is an arithmetic number, because the mean of its divisors is an integer number (32992725150).

Almost surely, 21358817161148 is an apocalyptic number.

1358817161148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1358817161148 is an abundant number, since it is smaller than the sum of its proper divisors (2600309856852).

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

1358817161148 is a wasteful number, since it uses less digits than its factorization.

1358817161148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12984201 (or 12984190 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 54.

The spelling of 1358817161148 in words is "one trillion, three hundred fifty-eight billion, eight hundred seventeen million, one hundred sixty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 81 102 108 114 153 162 171 204 228 306 323 324 342 459 513 612 646 684 918 969 1026 1292 1377 1539 1836 1938 2052 2754 2907 3078 3876 5508 5814 6156 8721 11628 17442 26163 34884 52326 104652 12984149 25968298 38952447 51936596 77904894 116857341 155809788 220730533 233714682 246698831 350572023 441461066 467429364 493397662 662191599 701144046 740096493 882922132 986795324 1051716069 1324383198 1402288092 1480192986 1986574797 2103432138 2220289479 2648766396 2960385972 3973149594 4193880127 4206864276 4440578958 5959724391 6660868437 7946299188 8387760254 8881157916 11919448782 12581640381 13321736874 16775520508 17879173173 19982605311 23838897564 25163280762 26643473748 35758346346 37744921143 39965210622 50326561524 71516692692 75489842286 79930421244 113234763429 150979684572 226469526858 339704290287 452939053716 679408580574 1358817161148