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1940291772960 = 25354786005841
BaseRepresentation
bin11100001111000010011…
…001101110001000100000
320212111020021021122110210
4130033002121232020200
5223242204143213320
64043205134254120
7260116144643262
oct34170231561040
96774207248423
101940291772960
11688967139102
1227405b957340
13110c793b4408
1469ca6a6bb32
15357111b10e0
hex1c3c266e220

1940291772960 has 96 divisors (see below), whose sum is σ = 6241959988992. Its totient is φ = 506402385920.

The previous prime is 1940291772899. The next prime is 1940291772971. The reversal of 1940291772960 is 692771920491.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1940291772960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42980361 + ... + 43025480.

It is an arithmetic number, because the mean of its divisors is an integer number (65020416552).

Almost surely, 21940291772960 is an apocalyptic number.

1940291772960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1940291772960 is an abundant number, since it is smaller than the sum of its proper divisors (4301668216032).

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

1940291772960 is a wasteful number, since it uses less digits than its factorization.

1940291772960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86005906 (or 86005898 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The spelling of 1940291772960 in words is "one trillion, nine hundred forty billion, two hundred ninety-one million, seven hundred seventy-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 1128 1410 1504 1880 2256 2820 3760 4512 5640 7520 11280 22560 86005841 172011682 258017523 344023364 430029205 516035046 688046728 860058410 1032070092 1290087615 1376093456 1720116820 2064140184 2580175230 2752186912 3440233640 4042274527 4128280368 5160350460 6880467280 8084549054 8256560736 10320700920 12126823581 13760934560 16169098108 20211372635 20641401840 24253647162 32338196216 40422745270 41282803680 48507294324 60634117905 64676392432 80845490540 97014588648 121268235810 129352784864 161690981080 194029177296 242536471620 323381962160 388058354592 485072943240 646763924320 970145886480 1940291772960