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4951973840 = 2451159127751
BaseRepresentation
bin1001001110010100…
…10001111111010000
3110210010000100001112
410213022101333100
540120201130330
62135213552452
7233500040342
oct44712217720
913703010045
104951973840
112111295270
12b624a5728
1360bc14a48
1434d95d292
151deb1b795
hex127291fd0

4951973840 has 160 divisors (see below), whose sum is σ = 12890603520. Its totient is φ = 1753920000.

The previous prime is 4951973833. The next prime is 4951973849. The reversal of 4951973840 is 483791594.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4951973849) 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, 6593465 + ... + 6594215.

It is an arithmetic number, because the mean of its divisors is an integer number (80566272).

Almost surely, 24951973840 is an apocalyptic number.

4951973840 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 4951973840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6445301760).

4951973840 is an abundant number, since it is smaller than the sum of its proper divisors (7938629680).

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

4951973840 is a wasteful number, since it uses less digits than its factorization.

4951973840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The square root of 4951973840 is about 70370.2624693130. The cubic root of 4951973840 is about 1704.4834180608.

The spelling of 4951973840 in words is "four billion, nine hundred fifty-one million, nine hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 127 176 220 236 254 295 440 472 508 590 635 649 751 880 944 1016 1180 1270 1298 1397 1502 2032 2360 2540 2596 2794 3004 3245 3755 4720 5080 5192 5588 6008 6490 6985 7493 7510 8261 10160 10384 11176 12016 12980 13970 14986 15020 16522 22352 25960 27940 29972 30040 33044 37465 41305 44309 51920 55880 59944 60080 66088 74930 82423 82610 88618 95377 111760 119888 132176 149860 164846 165220 177236 190754 221545 299720 329692 330440 354472 381508 412115 443090 476885 487399 599440 659384 660880 708944 763016 824230 886180 953770 974798 1049147 1318768 1526032 1648460 1772360 1907540 1949596 2098294 2436995 3296920 3544720 3815080 3899192 4196588 4873990 5245735 5627243 6593840 7630160 7798384 8393176 9747980 10491470 11254486 16786352 19495960 20982940 22508972 28136215 38991920 41965880 45017944 56272430 61899673 83931760 90035888 112544860 123799346 225089720 247598692 309498365 450179440 495197384 618996730 990394768 1237993460 2475986920 4951973840