Search a number
-
+
4750950364416 = 28331193576151
BaseRepresentation
bin100010100100010101010…
…1101010111010100000000
3121211012000220021210012000
41011020222231113110000
51110314421243130131
614034320110304000
71000146656534124
oct105105255272400
917735026253160
104750950364416
111571959695153
126489237b8000
13286021b83ca9
14125d39281584
15838b3081ce6
hex4522ab57500

4750950364416 has 144 divisors (see below), whose sum is σ = 14061196974720. Its totient is φ = 1582319923200.

The previous prime is 4750950364409. The next prime is 4750950364421. The reversal of 4750950364416 is 6144630590574.

It is a happy number.

4750950364416 is a `hidden beast` number, since 4 + 7 + 509 + 50 + 36 + 44 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7957941 + ... + 8534091.

Almost surely, 24750950364416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4750950364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030598487360).

4750950364416 is an abundant number, since it is smaller than the sum of its proper divisors (9310246610304).

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

4750950364416 is a wasteful number, since it uses less digits than its factorization.

4750950364416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577369 (or 577349 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 4750950364416 in words is "four trillion, seven hundred fifty billion, nine hundred fifty million, three hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1193 1728 2304 2386 3456 3579 4772 6912 7158 9544 10737 14316 19088 21474 28632 32211 38176 42948 57264 64422 76352 85896 114528 128844 152704 171792 229056 257688 305408 343584 458112 515376 576151 687168 916224 1030752 1152302 1374336 1728453 2061504 2304604 2748672 3456906 4123008 4609208 5185359 6913812 8246016 9218416 10370718 13827624 15556077 18436832 20741436 27655248 31112154 36873664 41482872 55310496 62224308 73747328 82965744 110620992 124448616 147494656 165931488 221241984 248897232 331862976 442483968 497794464 663725952 687348143 995588928 1327451904 1374696286 1991177856 2062044429 2749392572 3982355712 4124088858 5498785144 6186133287 8248177716 10997570288 12372266574 16496355432 18558399861 21995140576 24744533148 32992710864 37116799722 43990281152 49489066296 65985421728 74233599444 87980562304 98978132592 131970843456 148467198888 175961124608 197956265184 263941686912 296934397776 395912530368 527883373824 593868795552 791825060736 1187737591104 1583650121472 2375475182208 4750950364416