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20625627399804 = 22327683169370783
BaseRepresentation
bin1001011000010010001110…
…01100011100011001111100
32201000210100102210100200200
410230021013030130121330
510200412241103243204
6111511141000323500
74226103163126140
oct454110714343174
981023312710620
1020625627399804
116632308a5a399
122391474a73590
13b67cb044792b
145143ddd25220
1525b7bea07539
hex12c24731c67c

20625627399804 has 144 divisors (see below), whose sum is σ = 59708476219392. Its totient is φ = 5880849422976.

The previous prime is 20625627399803. The next prime is 20625627399863. The reversal of 20625627399804 is 40899372652602.

It is a happy number.

20625627399804 is a `hidden beast` number, since 2 + 0 + 62 + 562 + 7 + 3 + 9 + 9 + 8 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20625627399803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291356997 + ... + 291427779.

It is an arithmetic number, because the mean of its divisors is an integer number (414642195968).

Almost surely, 220625627399804 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 20625627399804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29854238109696).

20625627399804 is an abundant number, since it is smaller than the sum of its proper divisors (39082848819588).

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

20625627399804 is a wasteful number, since it uses less digits than its factorization.

20625627399804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73176 (or 73171 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 20625627399804 in words is "twenty trillion, six hundred twenty-five billion, six hundred twenty-seven million, three hundred ninety-nine thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 683 1366 1693 2049 2732 3386 4098 4781 5079 6147 6772 8196 9562 10158 11851 12294 14343 15237 19124 20316 23702 24588 28686 30474 35553 43029 47404 57372 60948 70783 71106 86058 106659 141566 142212 172116 212349 213318 283132 424698 426636 495481 637047 849396 990962 1156319 1274094 1486443 1981924 2312638 2548188 2972886 3468957 4459329 4625276 5945772 6937914 8094233 8918658 10406871 13875828 16188466 17837316 20813742 24282699 32376932 41627484 48344789 48565398 72848097 96689578 97130796 119835619 145034367 145696194 193379156 239671238 290068734 291392388 338413523 359506857 435103101 479342476 580137468 676827046 719013714 838849333 870206202 1015240569 1078520571 1353654092 1438027428 1677698666 1740412404 2030481138 2157041142 2516547999 3045721707 3355397332 4060962276 4314082284 5033095998 6091443414 7549643997 10066191996 12182886828 15099287994 30198575988 81847727777 163695455554 245543183331 327390911108 491086366662 572934094439 736629549993 982172733324 1145868188878 1473259099986 1718802283317 2291736377756 2946518199972 3437604566634 5156406849951 6875209133268 10312813699902 20625627399804