Search a number
-
+
538244775452880 = 24335249187396043
BaseRepresentation
bin111101001100001111110000…
…0101001001010000011010000
32121120202200211211212011121000
41322120133200221022003100
51031022100300003443010
65144430123012302000
7221241621204523326
oct17230374051120320
92546680754764530
10538244775452880
11146557366804771
125044b53a311900
131a144359257072
1496cb286a63d16
154235ead9477c0
hex1e987e0a4a0d0

538244775452880 has 80 divisors (see below), whose sum is σ = 1853954226567360. Its totient is φ = 143531940120192.

The previous prime is 538244775452851. The next prime is 538244775453031. The reversal of 538244775452880 is 88254577442835.

538244775452880 is a `hidden beast` number, since 5 + 3 + 8 + 2 + 4 + 4 + 77 + 545 + 2 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 538244775452799 and 538244775452808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124593695862 + ... + 124593700181.

It is an arithmetic number, because the mean of its divisors is an integer number (23174427832092).

Almost surely, 2538244775452880 is an apocalyptic number.

It is an amenable number.

538244775452880 is an abundant number, since it is smaller than the sum of its proper divisors (1315709451114480).

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

538244775452880 is a wasteful number, since it uses less digits than its factorization.

538244775452880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249187396065 (or 249187396053 counting only the distinct ones).

The product of its (nonzero) digits is 2408448000, while the sum is 72.

The spelling of 538244775452880 in words is "five hundred thirty-eight trillion, two hundred forty-four billion, seven hundred seventy-five million, four hundred fifty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 249187396043 498374792086 747562188129 996749584172 1245936980215 1495124376258 1993499168344 2242686564387 2491873960430 2990248752516 3737810940645 3986998336688 4485373128774 4983747920860 5980497505032 6728059693161 7475621881290 8970746257548 9967495841720 11213432821935 11960995010064 13456119386322 14951243762580 17941492515096 19934991683440 22426865643870 26912238772644 29902487525160 33640298465805 35882985030192 44853731287740 53824477545288 59804975050320 67280596931610 89707462575480 107648955090576 134561193863220 179414925150960 269122387726440 538244775452880