Search a number
-
+
2164377508728 = 2331091364960617
BaseRepresentation
bin11111011111101110111…
…100111101101101111000
321122220122012010111000220
4133133232330331231320
5240430121120234403
64334145025300040
7312241202163261
oct37375674755570
97586565114026
102164377508728
117649a8751056
122ab579794620
1312913b6ba936
1476a83905968
153b478e0e953
hex1f7eef3db78

2164377508728 has 64 divisors (see below), whose sum is σ = 5461075620000. Its totient is φ = 714776113152.

The previous prime is 2164377508717. The next prime is 2164377508751. The reversal of 2164377508728 is 8278057734612.

It is a super-3 number, since 3×21643775087283 (a number of 38 digits) contains 333 as substring.

It is a congruent 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, 35675476 + ... + 35736092.

Almost surely, 22164377508728 is an apocalyptic number.

It is an amenable number.

2164377508728 is an abundant number, since it is smaller than the sum of its proper divisors (3296698111272).

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

2164377508728 is a wasteful number, since it uses less digits than its factorization.

2164377508728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74384 (or 74380 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 60.

The spelling of 2164377508728 in words is "two trillion, one hundred sixty-four billion, three hundred seventy-seven million, five hundred eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 109 218 327 436 654 872 1308 2616 13649 27298 40947 54596 60617 81894 109192 121234 163788 181851 242468 327576 363702 484936 727404 1454808 1487741 2975482 4463223 5950964 6607253 8926446 11901928 13214506 17852892 19821759 26429012 35705784 39643518 52858024 79287036 158574072 827361433 1654722866 2482084299 3309445732 4964168598 6618891464 9928337196 19856674392 90182396197 180364792394 270547188591 360729584788 541094377182 721459169576 1082188754364 2164377508728