Search a number
-
+
4972153323920 = 24589698336141
BaseRepresentation
bin100100001011010101101…
…1011101100000110010000
3122121022222220200102010212
41020112223123230012100
51122430432222331140
614324101541343252
71022140410630446
oct110265333540620
918538886612125
104972153323920
111647750a22682
12683778107b28
132a0b44b6a343
14132921308b96
158950cb94765
hex485ab6ec190

4972153323920 has 40 divisors (see below), whose sum is σ = 11690147017080. Its totient is φ = 1966514570240.

The previous prime is 4972153323919. The next prime is 4972153323959. The reversal of 4972153323920 is 293233512794.

It can be written as a sum of positive squares in 4 ways, for example, as 81049534864 + 4891103789056 = 284692^2 + 2211584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 349160951 + ... + 349175190.

It is an arithmetic number, because the mean of its divisors is an integer number (292253675427).

Almost surely, 24972153323920 is an apocalyptic number.

4972153323920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4972153323920 is an abundant number, since it is smaller than the sum of its proper divisors (6717993693160).

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

4972153323920 is a wasteful number, since it uses less digits than its factorization.

4972153323920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698336243 (or 698336237 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 50.

The spelling of 4972153323920 in words is "four trillion, nine hundred seventy-two billion, one hundred fifty-three million, three hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 698336141 1396672282 2793344564 3491680705 5586689128 6983361410 11173378256 13966722820 27933445640 55866891280 62151916549 124303833098 248607666196 310759582745 497215332392 621519165490 994430664784 1243038330980 2486076661960 4972153323920