Search a number
-
+
2052453514050 = 23252171631645979
BaseRepresentation
bin11101110111011111110…
…000110011101101000010
321021012202000101110010200
4131313133300303231002
5232111411044422200
64210514545510030
7301166466006012
oct35673760635502
97235660343120
102052453514050
117214935572a5
12291942642316
1311b712708754
14714a6dadc42
15385c7e69800
hex1dddfc33b42

2052453514050 has 144 divisors (see below), whose sum is σ = 5874449948640. Its totient is φ = 511964997120.

The previous prime is 2052453514049. The next prime is 2052453514081. The reversal of 2052453514050 is 504153542502.

2052453514050 is a `hidden beast` number, since 2 + 0 + 5 + 245 + 3 + 5 + 1 + 405 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2052453513996 and 2052453514014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 423961 + ... + 2069939.

It is an arithmetic number, because the mean of its divisors is an integer number (40794791310).

Almost surely, 22052453514050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052453514050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937224974320).

2052453514050 is an abundant number, since it is smaller than the sum of its proper divisors (3821996434590).

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

2052453514050 is a wasteful number, since it uses less digits than its factorization.

2052453514050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646177 (or 1646169 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 2052453514050 in words is "two trillion, fifty-two billion, four hundred fifty-three million, five hundred fourteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 163 170 225 255 306 326 425 450 489 510 765 815 850 978 1275 1467 1530 1630 2445 2550 2771 2934 3825 4075 4890 5542 7335 7650 8150 8313 12225 13855 14670 16626 24450 24939 27710 36675 41565 49878 69275 73350 83130 124695 138550 207825 249390 415650 623475 1246950 1645979 3291958 4937937 8229895 9875874 14813811 16459790 24689685 27981643 29627622 41149475 49379370 55963286 74069055 82298950 83944929 123448425 139908215 148138110 167889858 246896850 251834787 268294577 279816430 370345275 419724645 503669574 536589154 699541075 740690550 804883731 839449290 1259173935 1341472885 1399082150 1609767462 2098623225 2414651193 2518347870 2682945770 4024418655 4197246450 4561007809 4829302386 6295869675 6707364425 8048837310 9122015618 12073255965 12591739350 13414728850 13683023427 20122093275 22805039045 24146511930 27366046854 40244186550 41049070281 45610078090 60366279825 68415117135 82098140562 114025195225 120732559650 136830234270 205245351405 228050390450 342075585675 410490702810 684151171350 1026226757025 2052453514050