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7638020812212 = 2237592767556981
BaseRepresentation
bin110111100100101110110…
…0001000110110110110100
31000001012001210200102010120
41233021131201012312310
52000120131311442322
624124505221451540
71415554163455230
oct157113541066664
930035053612116
107638020812212
1124852a269789a
12a34371870bb0
1343535429a04b
141c5979c895c0
15d3a38402a5c
hex6f25d846db4

7638020812212 has 96 divisors (see below), whose sum is σ = 20720799805440. Its totient is φ = 2144524498560.

The previous prime is 7638020812129. The next prime is 7638020812237. The reversal of 7638020812212 is 2122180208367.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 13434762 + ... + 13991742.

It is an arithmetic number, because the mean of its divisors is an integer number (215841664640).

Almost surely, 27638020812212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7638020812212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10360399902720).

7638020812212 is an abundant number, since it is smaller than the sum of its proper divisors (13082778993228).

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

7638020812212 is a wasteful number, since it uses less digits than its factorization.

7638020812212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559821 (or 559819 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 7638020812212 in words is "seven trillion, six hundred thirty-eight billion, twenty million, eight hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1239 1652 2478 2767 4956 5534 8301 11068 16602 19369 33204 38738 58107 77476 116214 163253 232428 326506 489759 556981 653012 979518 1113962 1142771 1670943 1959036 2227924 2285542 3341886 3428313 3898867 4571084 6683772 6856626 7797734 11696601 13713252 15595468 23393202 32861879 46786404 65723758 98585637 131447516 197171274 230033153 394342548 460066306 690099459 920132612 1380198918 1541166427 2760397836 3082332854 4623499281 6164665708 9246998562 10788164989 18493997124 21576329978 32364494967 43152659956 64728989934 90928819193 129457979868 181857638386 272786457579 363715276772 545572915158 636501734351 1091145830316 1273003468702 1909505203053 2546006937404 3819010406106 7638020812212