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20084102525004 = 22371492297007311
BaseRepresentation
bin1001001000100001100011…
…10010111111000001001100
32122010000120122012102222020
410210100301302333001030
510113024220221300004
6110414302003050140
74142012532466530
oct444206162770114
978100518172866
1020084102525004
116443690313951
122304525370950
13b28bcc35612b
144d610bbd7bc0
1524c6785cc8d9
hex124431cbf04c

20084102525004 has 96 divisors (see below), whose sum is σ = 54152507136000. Its totient is φ = 5674912047360.

The previous prime is 20084102524991. The next prime is 20084102525017. The reversal of 20084102525004 is 40052520148002.

It is an interprime number because it is at equal distance from previous prime (20084102524991) and next prime (20084102525017).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637492 + ... + 6369819.

It is an arithmetic number, because the mean of its divisors is an integer number (564088616000).

Almost surely, 220084102525004 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 20084102525004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27076253568000).

20084102525004 is an abundant number, since it is smaller than the sum of its proper divisors (34068404610996).

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

20084102525004 is a wasteful number, since it uses less digits than its factorization.

20084102525004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7007703 (or 7007701 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The spelling of 20084102525004 in words is "twenty trillion, eighty-four billion, one hundred two million, five hundred twenty-five thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 229 298 447 458 596 687 894 916 1043 1374 1603 1788 2086 2748 3129 3206 4172 4809 6258 6412 9618 12516 19236 34121 68242 102363 136484 204726 238847 409452 477694 716541 955388 1433082 2866164 7007311 14014622 21021933 28029244 42043866 49051177 84087732 98102354 147153531 196204708 294307062 588614124 1044089339 1604674219 2088178678 3132268017 3209348438 4176357356 4814022657 6264536034 6418696876 7308625373 9628045314 11232719533 12529072068 14617250746 19256090628 21925876119 22465439066 29234501492 33698158599 43851752238 44930878132 67396317198 87703504476 134792634396 239096458631 478192917262 717289375893 956385834524 1434578751786 1673675210417 2869157503572 3347350420834 5021025631251 6694700841668 10042051262502 20084102525004