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20776123685770 = 2529261173323369
BaseRepresentation
bin1001011100101010100010…
…11110001101101110001010
32201120011210210002210220221
410232111101132031232022
510210344000130421040
6112104230334140254
74243011466345225
oct456252136155612
981504723083827
1020776123685770
116690117208532
1223b667595168a
13b7924577b80b
1451b7d95825bc
1526067be6974a
hex12e55178db8a

20776123685770 has 96 divisors (see below), whose sum is σ = 39390378608880. Its totient is φ = 7887451514880.

The previous prime is 20776123685749. The next prime is 20776123685777. The reversal of 20776123685770 is 7758632167702.

It can be written as a sum of positive squares in 24 ways, for example, as 6571116969561 + 14205006716209 = 2563419^2 + 3768953^2 .

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a junction number, because it is equal to n+sod(n) for n = 20776123685699 and 20776123685708.

It is not an unprimeable number, because it can be changed into a prime (20776123685777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 889034646 + ... + 889058014.

Almost surely, 220776123685770 is an apocalyptic number.

20776123685770 is a deficient number, since it is larger than the sum of its proper divisors (18614254923110).

20776123685770 is a wasteful number, since it uses less digits than its factorization.

20776123685770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25228 (or 25199 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 61.

The spelling of 20776123685770 in words is "twenty trillion, seven hundred seventy-six billion, one hundred twenty-three million, six hundred eighty-five thousand, seven hundred seventy".

Divisors: 1 2 5 10 29 58 61 122 145 290 305 610 841 1682 1733 1769 3466 3538 4205 8410 8665 8845 17330 17690 23369 46738 50257 51301 100514 102602 105713 116845 211426 233690 251285 256505 502570 513010 528565 677701 1057130 1355402 1425509 1457453 2851018 2914906 3065677 3388505 6131354 6777010 7127545 7287265 14255090 14574530 15328385 19653329 30656770 39306658 40498477 41339761 80996954 82679522 88904633 98266645 177809266 196533290 202492385 206698805 404984770 413397610 444523165 889046330 1174455833 1198853069 2348911666 2397706138 2470407097 4940814194 5872279165 5994265345 11744558330 11988530690 12352035485 24704070970 34059219157 68118438314 71641805813 143283611626 170296095785 340592191570 358209029065 716418058130 2077612368577 4155224737154 10388061842885 20776123685770