Search a number
-
+
20553251124024 = 23332340910115227
BaseRepresentation
bin1001010110001011011010…
…01110110111001100111000
32200202212112102001121021000
410223011231032313030320
510143221024241432044
6111414011101445000
74220631503002563
oct453055516671470
980685472047230
1020553251124024
11660464848a143
12237b436270760
13b612178ccc48
14510ad58a74da
152599859a9d69
hex12b16d3b7338

20553251124024 has 128 divisors (see below), whose sum is σ = 59720306112000. Its totient is φ = 6537187337472.

The previous prime is 20553251123971. The next prime is 20553251124031. The reversal of 20553251124024 is 42042115235502.

20553251124024 is a `hidden beast` number, since 2 + 0 + 5 + 532 + 5 + 112 + 4 + 0 + 2 + 4 = 666.

It is a super-2 number, since 2×205532511240242 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20553251124024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3025702 + ... + 7089525.

It is an arithmetic number, because the mean of its divisors is an integer number (466564891500).

Almost surely, 220553251124024 is an apocalyptic number.

20553251124024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20553251124024 is an abundant number, since it is smaller than the sum of its proper divisors (39167054987976).

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

20553251124024 is a wasteful number, since it uses less digits than its factorization.

20553251124024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10115674 (or 10115664 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 20553251124024 its reverse (42042115235502), we get a palindrome (62595366359526).

The spelling of 20553251124024 in words is "twenty trillion, five hundred fifty-three billion, two hundred fifty-one million, one hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 409 414 552 621 818 828 1227 1242 1636 1656 2454 2484 3272 3681 4908 4968 7362 9407 9816 11043 14724 18814 22086 28221 29448 37628 44172 56442 75256 84663 88344 112884 169326 225768 253989 338652 507978 677304 1015956 2031912 10115227 20230454 30345681 40460908 60691362 80921816 91037043 121382724 182074086 232650221 242765448 273111129 364148172 465300442 546222258 697950663 728296344 930600884 1092444516 1395901326 1861201768 2093851989 2184889032 2791802652 4137127843 4187703978 5583605304 6281555967 8274255686 8375407956 12411383529 12563111934 16548511372 16750815912 24822767058 25126223868 33097022744 37234150587 49645534116 50252447736 74468301174 95153940389 99291068232 111702451761 148936602348 190307880778 223404903522 285461821167 297873204696 380615761556 446809807044 570923642334 761231523112 856385463501 893619614088 1141847284668 1712770927002 2283694569336 2569156390503 3425541854004 5138312781006 6851083708008 10276625562012 20553251124024