Search a number
-
+
4925336876100 = 223452246592
BaseRepresentation
bin100011110101100010011…
…1101000111010001000100
3122102212011012021110010000
41013223010331013101010
51121144042220013400
614250400222401300
71015562303452104
oct107530475072104
918385135243100
104925336876100
111629907299493
12676691430230
132995c382a804
1413055d721204
15881bca4e600
hex47ac4f47444

4925336876100 has 135 divisors (see below), whose sum is σ = 15966643837837. Its totient is φ = 1313369903520.

The previous prime is 4925336876077. The next prime is 4925336876123. The reversal of 4925336876100 is 16786335294.

The square root of 4925336876100 is 2219310.

It is a perfect power (a square), and thus also a powerful number.

4925336876100 is a `hidden beast` number, since 4 + 92 + 533 + 6 + 8 + 7 + 6 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4925336876077) and next prime (4925336876123).

It can be written as a sum of positive squares in only one way, i.e., 1773121275396 + 3152215600704 = 1331586^2 + 1775448^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 199725571 + ... + 199750229.

It is a 1-persistent number, because it is pandigital, but 2⋅4925336876100 = 9850673752200 is not.

Almost surely, 24925336876100 is an apocalyptic number.

4925336876100 is the 2219310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4925336876100

4925336876100 is an abundant number, since it is smaller than the sum of its proper divisors (11041306961737).

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

4925336876100 is an frugal number, since it uses more digits than its factorization.

4925336876100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49344 (or 24669 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 4925336876100 in words is "four trillion, nine hundred twenty-five billion, three hundred thirty-six million, eight hundred seventy-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 24659 49318 73977 98636 123295 147954 221931 246590 295908 369885 443862 493180 616475 665793 739770 887724 1109655 1232950 1331586 1479540 1849425 1997379 2219310 2465900 2663172 3328965 3698850 3994758 4438620 5548275 6657930 7397700 7989516 9986895 11096550 13315860 16644825 19973790 22193100 33289650 39947580 49934475 66579300 99868950 199737900 608066281 1216132562 1824198843 2432265124 3040331405 3648397686 5472596529 6080662810 7296795372 9120994215 10945193058 12161325620 15201657025 16417789587 18241988430 21890386116 27362982645 30403314050 32835579174 36483976860 45604971075 49253368761 54725965290 60806628100 65671158348 82088947935 91209942150 98506737522 109451930580 136814913225 164177895870 182419884300 197013475044 246266843805 273629826450 328355791740 410444739675 492533687610 547259652900 820889479350 985067375220 1231334219025 1641778958700 2462668438050 4925336876100