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4504903984 = 2472172271489
BaseRepresentation
bin1000011001000001…
…10110000100110000
3102121221202211111201
410030200312010300
533211223411414
62023003420544
7216431023600
oct41440660460
912557684451
104504903984
111a019a0049
12a58824754
1356a402979
1430a424c00
151b575b574
hex10c836130

4504903984 has 120 divisors (see below), whose sum is σ = 10805134320. Its totient is φ = 1807884288.

The previous prime is 4504903969. The next prime is 4504904003. The reversal of 4504903984 is 4893094054.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3024712 + ... + 3026200.

It is an arithmetic number, because the mean of its divisors is an integer number (90042786).

Almost surely, 24504903984 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 4504903984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5402567160).

4504903984 is an abundant number, since it is smaller than the sum of its proper divisors (6300230336).

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

4504903984 is a wasteful number, since it uses less digits than its factorization.

4504903984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 4504903984 is about 67118.5815106368. The cubic root of 4504903984 is about 1651.5631325904.

The spelling of 4504903984 in words is "four billion, five hundred four million, nine hundred three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 227 238 272 392 454 476 784 833 908 952 1489 1589 1666 1816 1904 2978 3178 3332 3632 3859 5956 6356 6664 7718 10423 11123 11912 12712 13328 15436 20846 22246 23824 25313 25424 27013 30872 41692 44492 50626 54026 61744 72961 83384 88984 101252 108052 145922 166768 177191 177968 189091 202504 216104 291844 338003 354382 378182 405008 432208 583688 676006 708764 756364 1167376 1240337 1352012 1417528 1512728 2366021 2480674 2704024 2835056 3025456 4732042 4961348 5408048 5746051 9464084 9922696 11492102 16562147 18928168 19845392 22984204 33124294 37856336 40222357 45968408 66248588 80444714 91936816 132497176 160889428 264994352 281556499 321778856 563112998 643557712 1126225996 2252451992 4504903984