Search a number
-
+
50267071200 = 2535246145433
BaseRepresentation
bin101110110100001001…
…101010001011100000
311210202012100210102210
4232310021222023200
51310421332234300
635031541442120
73426444024663
oct566411521340
9153665323383
1050267071200
111a3554a6655
1298aa410340
1349811ab718
14260bdb16da
15149304c050
hexbb426a2e0

50267071200 has 144 divisors (see below), whose sum is σ = 163977848496. Its totient is φ = 13375180800.

The previous prime is 50267071189. The next prime is 50267071201. The reversal of 50267071200 is 217076205.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50267071201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1083684 + ... + 1129116.

It is an arithmetic number, because the mean of its divisors is an integer number (1138735059).

Almost surely, 250267071200 is an apocalyptic number.

50267071200 is a gapful number since it is divisible by the number (50) 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 50267071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81988924248).

50267071200 is an abundant number, since it is smaller than the sum of its proper divisors (113710777296).

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

50267071200 is a wasteful number, since it uses less digits than its factorization.

50267071200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45917 (or 45904 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 50267071200 in words is "fifty billion, two hundred sixty-seven million, seventy-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 461 480 600 800 922 1200 1383 1844 2305 2400 2766 3688 4610 5532 6915 7376 9220 11064 11525 13830 14752 18440 22128 23050 27660 34575 36880 44256 45433 46100 55320 69150 73760 90866 92200 110640 136299 138300 181732 184400 221280 227165 272598 276600 363464 368800 454330 545196 553200 681495 726928 908660 1090392 1106400 1135825 1362990 1453856 1817320 2180784 2271650 2725980 3407475 3634640 4361568 4543300 5451960 6814950 7269280 9086600 10903920 13629900 18173200 20944613 21807840 27259800 36346400 41889226 54519600 62833839 83778452 104723065 109039200 125667678 167556904 209446130 251335356 314169195 335113808 418892260 502670712 523615325 628338390 670227616 837784520 1005341424 1047230650 1256676780 1570845975 1675569040 2010682848 2094461300 2513353560 3141691950 3351138080 4188922600 5026707120 6283383900 8377845200 10053414240 12566767800 16755690400 25133535600 50267071200