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1890770186956 = 2272931212719079
BaseRepresentation
bin11011100000111010101…
…011110111001011001100
320200202102000200102110211
4123200322223313023030
5221434244131440311
64004335143012204
7253414022261440
oct33407253671314
96622360612424
101890770186956
11669964529622
1226653b13a064
131093b67ac4c1
1467729ab4820
15342b381d821
hex1b83aaf72cc

1890770186956 has 144 divisors (see below), whose sum is σ = 4074242457600. Its totient is φ = 751148173440.

The previous prime is 1890770186909. The next prime is 1890770186983. The reversal of 1890770186956 is 6596810770981.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1890770186891 and 1890770186900.

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 47 ways as a sum of consecutive naturals, for example, 99092625 + ... + 99111703.

It is an arithmetic number, because the mean of its divisors is an integer number (28293350400).

Almost surely, 21890770186956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1890770186956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037121228800).

1890770186956 is an abundant number, since it is smaller than the sum of its proper divisors (2183472270644).

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

1890770186956 is a wasteful number, since it uses less digits than its factorization.

1890770186956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19308 (or 19275 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 67.

The spelling of 1890770186956 in words is "one trillion, eight hundred ninety billion, seven hundred seventy million, one hundred eighty-six thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 29 31 58 62 116 124 127 203 217 254 406 434 508 812 868 889 899 961 1778 1798 1922 3556 3596 3683 3844 3937 6293 6727 7366 7874 12586 13454 14732 15748 19079 25172 25781 26908 27559 27869 38158 51562 55118 55738 76316 103124 110236 111476 114173 122047 133553 195083 228346 244094 267106 390166 456692 488188 534212 553291 591449 780332 799211 854329 1106582 1182898 1598422 1708658 2213164 2365796 2423033 3196844 3417316 3539363 3873037 4140143 4846066 7078726 7746074 8280286 9692132 14157452 15492148 16560572 16961231 17152021 18334919 24775541 33922462 34304042 36669838 49551082 67844924 68608084 70267957 73339676 75114023 99102164 120064147 128344433 140535914 150228046 240128294 256688866 281071828 300456092 480256588 491875699 513377732 525798161 531712651 983751398 1051596322 1063425302 1967502796 2103192644 2126850604 2178306667 2328534713 3721988557 4356613334 4657069426 7443977114 8713226668 9314138852 14887954228 15248146669 16299742991 30496293338 32599485982 60992586676 65198971964 67527506677 135055013354 270110026708 472692546739 945385093478 1890770186956