Search a number
-
+
1923806531840 = 28519641123407
BaseRepresentation
bin11011111111101011110…
…011100001000100000000
320210220200101101121222212
4123333223303201010000
5223004423433004330
64031441242321252
7255663501465644
oct33775363410400
96726611347885
101923806531840
116819776a7496
12270a1aab9228
1310c54cc42a7b
14691814a6c24
1535098cba295
hex1bfebce1100

1923806531840 has 144 divisors (see below), whose sum is σ = 4858257035520. Its totient is φ = 727878205440.

The previous prime is 1923806531839. The next prime is 1923806531863. The reversal of 1923806531840 is 481356083291.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15527417 + ... + 15650823.

It is an arithmetic number, because the mean of its divisors is an integer number (33737896080).

Almost surely, 21923806531840 is an apocalyptic number.

1923806531840 is a gapful number since it is divisible by the number (10) 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 1923806531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429128517760).

1923806531840 is an abundant number, since it is smaller than the sum of its proper divisors (2934450503680).

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

1923806531840 is a wasteful number, since it uses less digits than its factorization.

1923806531840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124088 (or 124074 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 50.

The spelling of 1923806531840 in words is "one trillion, nine hundred twenty-three billion, eight hundred six million, five hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 641 760 1216 1280 1282 1520 2432 2564 3040 3205 4864 5128 6080 6410 10256 12160 12179 12820 20512 24320 24358 25640 41024 48716 51280 60895 82048 97432 102560 121790 123407 164096 194864 205120 243580 246814 389728 410240 487160 493628 617035 779456 820480 974320 987256 1234070 1558912 1948640 1974512 2344733 2468140 3117824 3897280 3949024 4689466 4936280 7794560 7898048 9378932 9872560 11723665 15589120 15796096 18757864 19745120 23447330 31592192 37515728 39490240 46894660 75031456 78980480 79103887 93789320 150062912 157960960 158207774 187578640 300125824 316415548 375157280 395519435 600251648 632831096 750314560 791038870 1265662192 1500629120 1502973853 1582077740 2531324384 3001258240 3005947706 3164155480 5062648768 6011895412 6328310960 7514869265 10125297536 12023790824 12656621920 15029738530 20250595072 24047581648 25313243840 30059477060 48095163296 50626487680 60118954120 96190326592 101252975360 120237908240 192380653184 240475816480 384761306368 480951632960 961903265920 1923806531840