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1890047938320 = 2432519138161399
BaseRepresentation
bin11011100000001111101…
…000101100111100010000
320200200112200122101121100
4123200033220230330100
5221431304233011240
64004135342424400
7253360102254333
oct33401750547420
96620480571540
101890047938320
11669623873523
12266379292100
131092ccc80349
146769bbc861a
1534270203e30
hex1b80fa2cf10

1890047938320 has 120 divisors (see below), whose sum is σ = 6681485304000. Its totient is φ = 477485791488.

The previous prime is 1890047938297. The next prime is 1890047938333. The reversal of 1890047938320 is 238397400981.

1890047938320 is a `hidden beast` number, since 1 + 8 + 90 + 0 + 479 + 3 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 69067020 + ... + 69094379.

It is an arithmetic number, because the mean of its divisors is an integer number (55679044200).

Almost surely, 21890047938320 is an apocalyptic number.

1890047938320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1890047938320 is an abundant number, since it is smaller than the sum of its proper divisors (4791437365680).

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

1890047938320 is a wasteful number, since it uses less digits than its factorization.

1890047938320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138161437 (or 138161428 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1890047938320 in words is "one trillion, eight hundred ninety billion, forty-seven million, nine hundred thirty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 13680 138161399 276322798 414484197 552645596 690806995 828968394 1105291192 1243452591 1381613990 1657936788 2072420985 2210582384 2486905182 2625066581 2763227980 3315873576 4144841970 4973810364 5250133162 5526455960 6217262955 6631747152 7875199743 8289683940 9947620728 10500266324 11052911920 12434525910 13125332905 15750399486 16579367880 19895241456 21000532648 23625599229 24869051820 26250665810 31500798972 33158735760 39375998715 42001065296 47251198458 49738103640 52501331620 63001597944 78751997430 94502396916 99476207280 105002663240 118127996145 126003195888 157503994860 189004793832 210005326480 236255992290 315007989720 378009587664 472511984580 630015979440 945023969160 1890047938320