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27914215920 = 2435373311821
BaseRepresentation
bin11001111111110100…
…010010000111110000
32200001101112002111220
4121333310102013300
5424132014402140
620453522305040
72005511630463
oct317764220760
980041462456
1027914215920
1110924935638
1254b04b8180
13282b213a36
1414cb41d2da
15ad596dbd0
hex67fd121f0

27914215920 has 80 divisors (see below), whose sum is σ = 86766342432. Its totient is φ = 7423810560.

The previous prime is 27914215909. The next prime is 27914215969. The reversal of 27914215920 is 2951241972.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 66391 + ... + 245430.

Almost surely, 227914215920 is an apocalyptic number.

27914215920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27914215920 is an abundant number, since it is smaller than the sum of its proper divisors (58852126512).

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

27914215920 is a wasteful number, since it uses less digits than its factorization.

27914215920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312210 (or 312204 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 27914215920 in words is "twenty-seven billion, nine hundred fourteen million, two hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 373 746 1119 1492 1865 2238 2984 3730 4476 5595 5968 7460 8952 11190 14920 17904 22380 29840 44760 89520 311821 623642 935463 1247284 1559105 1870926 2494568 3118210 3741852 4677315 4989136 6236420 7483704 9354630 12472840 14967408 18709260 24945680 37418520 74837040 116309233 232618466 348927699 465236932 581546165 697855398 930473864 1163092330 1395710796 1744638495 1860947728 2326184660 2791421592 3489276990 4652369320 5582843184 6978553980 9304738640 13957107960 27914215920