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4920953640 = 2335193169623
BaseRepresentation
bin1001001010100111…
…11100101100101000
3110200221122100100020
410211103330230220
540034231004030
62132145040440
7232642262421
oct44523745450
913627570306
104920953640
1120a5828339
12b54026120
136056735b5
143497a6648
151dc040510
hex1254fcb28

4920953640 has 128 divisors (see below), whose sum is σ = 16041369600. Its totient is φ = 1203068160.

The previous prime is 4920953633. The next prime is 4920953683. The reversal of 4920953640 is 463590294.

It is a junction number, because it is equal to n+sod(n) for n = 4920953592 and 4920953601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35869 + ... + 105491.

It is an arithmetic number, because the mean of its divisors is an integer number (125323200).

Almost surely, 24920953640 is an apocalyptic number.

4920953640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4920953640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8020684800).

4920953640 is an abundant number, since it is smaller than the sum of its proper divisors (11120415960).

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

4920953640 is a wasteful number, since it uses less digits than its factorization.

4920953640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69687 (or 69683 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 4920953640 is about 70149.5091928661. The cubic root of 4920953640 is about 1700.9168802555.

The spelling of 4920953640 in words is "four billion, nine hundred twenty million, nine hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 31 38 40 57 60 62 76 93 95 114 120 124 152 155 186 190 228 248 285 310 372 380 456 465 570 589 620 744 760 930 1140 1178 1240 1767 1860 2280 2356 2945 3534 3720 4712 5890 7068 8835 11780 14136 17670 23560 35340 69623 70680 139246 208869 278492 348115 417738 556984 696230 835476 1044345 1322837 1392460 1670952 2088690 2158313 2645674 2784920 3968511 4177380 4316626 5291348 6474939 6614185 7937022 8354760 8633252 10582696 10791565 12949878 13228370 15874044 17266504 19842555 21583130 25899756 26456740 31748088 32374695 39685110 41007947 43166260 51799512 52913480 64749390 79370220 82015894 86332520 123023841 129498780 158740440 164031788 205039735 246047682 258997560 328063576 410079470 492095364 615119205 820158940 984190728 1230238410 1640317880 2460476820 4920953640