Search a number
-
+
748820068740 = 2233511931162367
BaseRepresentation
bin10101110010110010010…
…01110111100110000100
32122120211120001211222000
422321121021313212010
544232040414144430
61332000404505300
7105046313364312
oct12713111674604
92576746054860
10748820068740
11269633452947
121011623ab230
13557c8920c93
142835904b0b2
151472a077e60
hexae59277984

748820068740 has 96 divisors (see below), whose sum is σ = 2331617218560. Its totient is φ = 199517799168.

The previous prime is 748820068723. The next prime is 748820068741. The reversal of 748820068740 is 47860028847.

It is a happy number.

748820068740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (748820068741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63037 + ... + 1225403.

It is an arithmetic number, because the mean of its divisors is an integer number (24287679360).

Almost surely, 2748820068740 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 748820068740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165808609280).

748820068740 is an abundant number, since it is smaller than the sum of its proper divisors (1582797149820).

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

748820068740 is a wasteful number, since it uses less digits than its factorization.

748820068740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163578 (or 1163570 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 748820068740 in words is "seven hundred forty-eight billion, eight hundred twenty million, sixty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1193 2386 3579 4772 5965 7158 10737 11930 14316 17895 21474 23860 32211 35790 42948 53685 64422 71580 107370 128844 161055 214740 322110 644220 1162367 2324734 3487101 4649468 5811835 6974202 10461303 11623670 13948404 17435505 20922606 23247340 31383909 34871010 41845212 52306515 62767818 69742020 104613030 125535636 156919545 209226060 313839090 627678180 1386703831 2773407662 4160111493 5546815324 6933519155 8320222986 12480334479 13867038310 16640445972 20800557465 24960668958 27734076620 37441003437 41601114930 49921337916 62401672395 74882006874 83202229860 124803344790 149764013748 187205017185 249606689580 374410034370 748820068740