Search a number
-
+
4993411968 = 27331499697
BaseRepresentation
bin1001010011010000…
…10110101110000000
3110212222222121111000
410221220112232000
540211303140333
62143254052000
7234512205246
oct45150265600
913788877430
104993411968
112132718356
12b7434a000
1361769304c
14355268796
151e35a4713
hex129a16b80

4993411968 has 128 divisors (see below), whose sum is σ = 14837940000. Its totient is φ = 1653129216.

The previous prime is 4993411963. The next prime is 4993411991. The reversal of 4993411968 is 8691143994.

It is a happy number.

4993411968 is a `hidden beast` number, since 499 + 34 + 119 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4993411961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510096 + ... + 519792.

Almost surely, 24993411968 is an apocalyptic number.

4993411968 is a gapful number since it is divisible by the number (48) 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 4993411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418970000).

4993411968 is an abundant number, since it is smaller than the sum of its proper divisors (9844528032).

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

4993411968 is a wasteful number, since it uses less digits than its factorization.

4993411968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9869 (or 9851 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 4993411968 is about 70664.0783425355. The cubic root of 4993411968 is about 1709.2245914995.

The spelling of 4993411968 in words is "four billion, nine hundred ninety-three million, four hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 149 192 216 288 298 384 432 447 576 596 864 894 1152 1192 1341 1728 1788 2384 2682 3456 3576 4023 4768 5364 7152 8046 9536 9697 10728 14304 16092 19072 19394 21456 28608 29091 32184 38788 42912 57216 58182 64368 77576 85824 87273 116364 128736 155152 171648 174546 232728 257472 261819 310304 349092 465456 514944 523638 620608 698184 930912 1047276 1241216 1396368 1444853 1861824 2094552 2792736 2889706 3723648 4189104 4334559 5585472 5779412 8378208 8669118 11170944 11558824 13003677 16756416 17338236 23117648 26007354 33512832 34676472 39011031 46235296 52014708 69352944 78022062 92470592 104029416 138705888 156044124 184941184 208058832 277411776 312088248 416117664 554823552 624176496 832235328 1248352992 1664470656 2496705984 4993411968