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21523135014612 = 223271117414459781
BaseRepresentation
bin1001110010011001111101…
…10100010010011011010100
32211012120222021201011012100
410321030332310102123110
510310113340030431422
6113435331451322100
74350665231024430
oct471147664223324
984176867634170
1021523135014612
116948a01677310
1224b73b2450330
13c0181373c5aa
14545a222bd9c0
15274ced30e7ac
hex13933ed126d4

21523135014612 has 144 divisors (see below), whose sum is σ = 67869461971584. Its totient is φ = 5587212384000.

The previous prime is 21523135014599. The next prime is 21523135014629. The reversal of 21523135014612 is 21641053132512.

21523135014612 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 3 + 1 + 35 + 0 + 1 + 4 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2596162 + ... + 7055942.

It is an arithmetic number, because the mean of its divisors is an integer number (471315708136).

Almost surely, 221523135014612 is an apocalyptic number.

21523135014612 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21523135014612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33934730985792).

21523135014612 is an abundant number, since it is smaller than the sum of its proper divisors (46346326956972).

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

21523135014612 is a wasteful number, since it uses less digits than its factorization.

21523135014612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461550 (or 4461545 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 21523135014612 in words is "twenty-one trillion, five hundred twenty-three billion, one hundred thirty-five million, fourteen thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 1741 2772 3482 5223 6964 10446 12187 15669 19151 20892 24374 31338 36561 38302 48748 57453 62676 73122 76604 109683 114906 134057 146244 172359 219366 229812 268114 344718 402171 438732 536228 689436 804342 1206513 1608684 2413026 4459781 4826052 8919562 13379343 17839124 26758686 31218467 40138029 49057591 53517372 62436934 80276058 93655401 98115182 124873868 147172773 160552116 187310802 196230364 280966203 294345546 343403137 374621604 441518319 561932406 588691092 686806274 883036638 1030209411 1123864812 1373612548 1766073276 2060418822 3090628233 4120837644 6181256466 7764478721 12362512932 15528957442 23293436163 31057914884 46586872326 54351351047 69880308489 85409265931 93173744652 108702702094 139760616978 163054053141 170818531862 217405404188 256227797793 279521233956 326108106282 341637063724 489162159423 512455595586 597864861517 652216212564 768683393379 978324318846 1024911191172 1195729723034 1537366786758 1793594584551 1956648637692 2391459446068 3074733573516 3587189169102 5380783753653 7174378338204 10761567507306 21523135014612