Search a number
-
+
20664082620400 = 2452238925237033
BaseRepresentation
bin1001011001011001110110…
…10011011101111111110000
32201011110121110001222020011
410230230323103131333300
510202030020122323100
6111540540513224304
74231634142116662
oct454547323357760
981143543058204
1020664082620400
116647651a2283a
122398a07562094
13b6b7cb459b2b
1451620b294532
1525c7c0a9bbba
hex12cb3b4ddff0

20664082620400 has 120 divisors (see below), whose sum is σ = 52386025695840. Its totient is φ = 7817423032320.

The previous prime is 20664082620397. The next prime is 20664082620407. The reversal of 20664082620400 is 402628046602.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20664082620407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11799717 + ... + 13437316.

It is an arithmetic number, because the mean of its divisors is an integer number (436550214132).

Almost surely, 220664082620400 is an apocalyptic number.

20664082620400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20664082620400 is an abundant number, since it is smaller than the sum of its proper divisors (31721943075440).

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

20664082620400 is a wasteful number, since it uses less digits than its factorization.

20664082620400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25237163 (or 25237152 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 20664082620400 in words is "twenty trillion, six hundred sixty-four billion, eighty-two million, six hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 89 92 100 115 178 184 200 230 356 368 400 445 460 575 712 890 920 1150 1424 1780 1840 2047 2225 2300 3560 4094 4450 4600 7120 8188 8900 9200 10235 16376 17800 20470 32752 35600 40940 51175 81880 102350 163760 204700 409400 818800 25237033 50474066 100948132 126185165 201896264 252370330 403792528 504740660 580451759 630925825 1009481320 1160903518 1261851650 2018962640 2246095937 2321807036 2523703300 2902258795 4492191874 4643614072 5047406600 5804517590 8984383748 9287228144 10094813200 11230479685 11609035180 14511293975 17968767496 22460959370 23218070360 29022587950 35937534992 44921918740 46436140720 51660206551 56152398425 58045175900 89843837480 103320413102 112304796850 116090351800 179687674960 206640826204 224609593700 232180703600 258301032755 413281652408 449219187400 516602065510 826563304816 898438374800 1033204131020 1291505163775 2066408262040 2583010327550 4132816524080 5166020655100 10332041310200 20664082620400