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4753103740 = 2257118934679
BaseRepresentation
bin1000110110100111…
…01001101101111100
3110021020210200120021
410123103221231330
534213243304430
62103351301524
7225533500210
oct43323515574
913236720507
104753103740
11201a004210
12b0797a8a4
135a9964b28
14331392940
151cc43707a
hex11b4e9b7c

4753103740 has 96 divisors (see below), whose sum is σ = 12584678400. Its totient is φ = 1464798720.

The previous prime is 4753103723. The next prime is 4753103743. The reversal of 4753103740 is 473013574.

It is a junction number, because it is equal to n+sod(n) for n = 4753103696 and 4753103705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4753103743) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 119721 + ... + 154399.

It is an arithmetic number, because the mean of its divisors is an integer number (131090400).

Almost surely, 24753103740 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 4753103740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6292339200).

4753103740 is an abundant number, since it is smaller than the sum of its proper divisors (7831574660).

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

4753103740 is a wasteful number, since it uses less digits than its factorization.

4753103740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34795 (or 34793 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 4753103740 is about 68942.7569799758. The cubic root of 4753103740 is about 1681.3537534216.

The spelling of 4753103740 in words is "four billion, seven hundred fifty-three million, one hundred three thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 89 110 140 154 178 220 308 356 385 445 623 770 890 979 1246 1540 1780 1958 2492 3115 3916 4895 6230 6853 9790 12460 13706 19580 27412 34265 34679 68530 69358 137060 138716 173395 242753 346790 381469 485506 693580 762938 971012 1213765 1525876 1907345 2427530 2670283 3086431 3814690 4855060 5340566 6172862 7629380 10681132 12345724 13351415 15432155 21605017 26702830 30864310 33950741 43210034 53405660 61728620 67901482 86420068 108025085 135802964 169753705 216050170 237655187 339507410 432100340 475310374 679014820 950620748 1188275935 2376551870 4753103740