Search a number
-
+
20265274427400 = 23325243261825251
BaseRepresentation
bin1001001101110011000000…
…11110111100100000001000
32122202100012211002200002100
410212321200132330200020
510124011240223134100
6111033423305433400
74161055251321642
oct446714036744010
978670184080070
1020265274427400
116503500110702
12233366749b860
13b40012a04a42
14500bb74cb892
1525222db21400
hex126e607bc808

20265274427400 has 144 divisors (see below), whose sum is σ = 69640280526960. Its totient is φ = 5278397040000.

The previous prime is 20265274427371. The next prime is 20265274427407. The reversal of 20265274427400 is 472447256202.

20265274427400 is a `hidden beast` number, since 2 + 0 + 26 + 527 + 44 + 27 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20265274427407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 130835226 + ... + 130990025.

It is an arithmetic number, because the mean of its divisors is an integer number (483613059215).

Almost surely, 220265274427400 is an apocalyptic number.

20265274427400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20265274427400 is an abundant number, since it is smaller than the sum of its proper divisors (49375006099560).

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

20265274427400 is a wasteful number, since it uses less digits than its factorization.

20265274427400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261825316 (or 261825304 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The spelling of 20265274427400 in words is "twenty trillion, two hundred sixty-five billion, two hundred seventy-four million, four hundred twenty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 43 45 50 60 72 75 86 90 100 120 129 150 172 180 200 215 225 258 300 344 360 387 430 450 516 600 645 774 860 900 1032 1075 1290 1548 1720 1800 1935 2150 2580 3096 3225 3870 4300 5160 6450 7740 8600 9675 12900 15480 19350 25800 38700 77400 261825251 523650502 785475753 1047301004 1309126255 1570951506 2094602008 2356427259 2618252510 3141903012 3927378765 4712854518 5236505020 6283806024 6545631275 7854757530 9425709036 10473010040 11258485793 11782136295 13091262550 15709515060 18851418072 19636893825 22516971586 23564272590 26182525100 31419030120 33775457379 39273787650 45033943172 47128545180 52365050200 56292428965 58910681475 67550914758 78547575300 90067886344 94257090360 101326372137 112584857930 117821362950 135101829516 157095150600 168877286895 202652744274 225169715860 235642725900 270203659032 281462144825 337754573790 405305488548 450339431720 471285451800 506631860685 562924289650 675509147580 810610977096 844386434475 1013263721370 1125848579300 1351018295160 1688772868950 2026527442740 2251697158600 2533159303425 3377545737900 4053054885480 5066318606850 6755091475800 10132637213700 20265274427400