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2163802235440 = 24559992346199
BaseRepresentation
bin11111011111001100101…
…010011110001000110000
321122212011002122120102211
4133133030222132020300
5240422431333013230
64334011555221504
7312221015350546
oct37371452361060
97585132576384
102163802235440
11764732a5178a
122ab438ba7894
1312907946ba41
1476a2b357d96
153b44367842a
hex1f7cca9e230

2163802235440 has 80 divisors (see below), whose sum is σ = 5116735008000. Its totient is φ = 850746887936.

The previous prime is 2163802235431. The next prime is 2163802235459. The reversal of 2163802235440 is 445322083612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×21638022354402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2163802235393 and 2163802235402.

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, 46813461 + ... + 46859659.

It is an arithmetic number, because the mean of its divisors is an integer number (63959187600).

Almost surely, 22163802235440 is an apocalyptic number.

2163802235440 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 2163802235440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558367504000).

2163802235440 is an abundant number, since it is smaller than the sum of its proper divisors (2952932772560).

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

2163802235440 is a wasteful number, since it uses less digits than its factorization.

2163802235440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56194 (or 56188 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 2163802235440 in words is "two trillion, one hundred sixty-three billion, eight hundred two million, two hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 4720 9923 19846 39692 46199 49615 79384 92398 99230 158768 184796 198460 230995 369592 396920 461990 585457 739184 793840 923980 1170914 1847960 2341828 2725741 2927285 3695920 4683656 5451482 5854570 9367312 10902964 11709140 13628705 21805928 23418280 27257410 43611856 46836560 54514820 109029640 218059280 458432677 916865354 1833730708 2292163385 3667461416 4584326770 7334922832 9168653540 18337307080 27047527943 36674614160 54095055886 108190111772 135237639715 216380223544 270475279430 432760447088 540950558860 1081901117720 2163802235440