Search a number
-
+
2104739395983 = 327233314879011
BaseRepresentation
bin11110101000001100001…
…111100111100110001111
321110012200220111110021100
4132220030033213212033
5233441001241132413
64250523125434143
7305030255452410
oct36501417474617
97405626443240
102104739395983
11741684578274
1229bab4b6b953
13123625c19523
1473c27135807
1539b38342a73
hex1ea0c3e798f

2104739395983 has 96 divisors (see below), whose sum is σ = 3644380127232. Its totient is φ = 1144458849600.

The previous prime is 2104739395981. The next prime is 2104739395999. The reversal of 2104739395983 is 3895939374012.

2104739395983 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 7 + 3 + 9 + 39 + 598 + 3 = 666.

It is a Cunningham number, because it is equal to 14507722-1.

It is not a de Polignac number, because 2104739395983 - 21 = 2104739395981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2104739395983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104739395981) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 233569948 + ... + 233578958.

It is an arithmetic number, because the mean of its divisors is an integer number (37962292992).

Almost surely, 22104739395983 is an apocalyptic number.

2104739395983 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2104739395983 is a deficient number, since it is larger than the sum of its proper divisors (1539640731249).

2104739395983 is a wasteful number, since it uses less digits than its factorization.

2104739395983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9865 (or 9862 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 2104739395983 in words is "two trillion, one hundred four billion, seven hundred thirty-nine million, three hundred ninety-five thousand, nine hundred eighty-three".

Divisors: 1 3 7 9 21 23 63 69 161 207 331 483 487 993 1449 1461 2317 2979 3409 4383 6951 7613 9011 10227 11201 20853 22839 27033 30681 33603 53291 63077 68517 78407 81099 100809 159873 161197 189231 207253 235221 479619 483591 567693 621759 705663 1128379 1450771 1450773 1865277 2982641 3385137 3707531 4352313 4388357 8947923 10155411 11122593 13056939 13165071 20878487 25952717 26843769 30718499 33367779 39495213 62635461 68600743 77858151 92155497 100932211 187906383 205802229 233574453 276466491 302796633 480205201 617406687 706525477 908389899 1440615603 1452546167 2119576431 4321846809 4357638501 6358729293 10167823169 13072915503 30503469507 33408561841 91510408521 100225685523 233859932887 300677056569 701579798661 2104739395983