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2055761129820 = 2235591627356929
BaseRepresentation
bin11101111010100100111…
…010010111000101011100
321021112021112020201222110
4131322210322113011130
5232140144322123240
64212223103314020
7301344451200456
oct35724472270534
97245245221873
102055761129820
11722930622a52
122925062ab910
1311bb1ba56348
14716dc3ad2d6
153871d523c80
hex1dea4e9715c

2055761129820 has 96 divisors (see below), whose sum is σ = 5857306963200. Its totient is φ = 538578653184.

The previous prime is 2055761129783. The next prime is 2055761129833. The reversal of 2055761129820 is 289211675502.

It is a self number, because there is not a number n which added to its sum of digits gives 2055761129820.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5581116 + ... + 5938044.

It is an arithmetic number, because the mean of its divisors is an integer number (61013614200).

Almost surely, 22055761129820 is an apocalyptic number.

2055761129820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2055761129820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928653481600).

2055761129820 is an abundant number, since it is smaller than the sum of its proper divisors (3801545833380).

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

2055761129820 is a wasteful number, since it uses less digits than its factorization.

2055761129820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358627 (or 358625 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 2055761129820 in words is "two trillion, fifty-five billion, seven hundred sixty-one million, one hundred twenty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1627 1770 3254 3540 4881 6508 8135 9762 16270 19524 24405 32540 48810 95993 97620 191986 287979 356929 383972 479965 575958 713858 959930 1070787 1151916 1427716 1439895 1784645 1919860 2141574 2879790 3569290 4283148 5353935 5759580 7138580 10707870 21058811 21415740 42117622 63176433 84235244 105294055 126352866 210588110 252705732 315882165 421176220 580723483 631764330 1161446966 1263528660 1742170449 2322893932 2903617415 3484340898 5807234830 6968681796 8710852245 11614469660 17421704490 34262685497 34843408980 68525370994 102788056491 137050741988 171313427485 205576112982 342626854970 411152225964 513940282455 685253709940 1027880564910 2055761129820