Search a number
-
+
5100981994656 = 253233752557101
BaseRepresentation
bin100101000111010101000…
…1110000100010010100000
3200001122112012112222002100
41022032222032010102200
51132033302342312111
614503205255050400
71034351042360622
oct112165216042240
920048465488070
105100981994656
111697350398799
126a4730670a00
132b0036178622
14138c62dc8c12
158ca4cc82756
hex4a3aa3844a0

5100981994656 has 72 divisors (see below), whose sum is σ = 14548962089844. Its totient is φ = 1695281817600.

The previous prime is 5100981994601. The next prime is 5100981994657. The reversal of 5100981994656 is 6564991890015.

5100981994656 is a `hidden beast` number, since 5 + 1 + 0 + 0 + 9 + 81 + 99 + 465 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4944023402256 + 156958592400 = 2223516^2 + 396180^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 5100981994593 and 5100981994602.

It is not an unprimeable number, because it can be changed into a prime (5100981994657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26181495 + ... + 26375606.

Almost surely, 25100981994656 is an apocalyptic number.

It is an amenable number.

5100981994656 is an abundant number, since it is smaller than the sum of its proper divisors (9447980095188).

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

5100981994656 is a wasteful number, since it uses less digits than its factorization.

5100981994656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52557454 (or 52557443 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 5100981994656 in words is "five trillion, one hundred billion, nine hundred eighty-one million, nine hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 337 674 1011 1348 2022 2696 3033 4044 5392 6066 8088 10784 12132 16176 24264 32352 48528 97056 52557101 105114202 157671303 210228404 315342606 420456808 473013909 630685212 840913616 946027818 1261370424 1681827232 1892055636 2522740848 3784111272 5045481696 7568222544 15136445088 17711743037 35423486074 53135229111 70846972148 106270458222 141693944296 159405687333 212540916444 283387888592 318811374666 425081832888 566775777184 637622749332 850163665776 1275245498664 1700327331552 2550490997328 5100981994656