Search a number
-
+
50506010511096 = 23373471861465541
BaseRepresentation
bin10110111101111010110001…
…10100001100011011111000
320121211022211201012120120110
423132331120310030123320
523104442302142323341
6255230050234424320
713431640010664450
oct1336753064143370
9217738751176513
1050506010511096
111510252a276528
1257b84a08920a0
132224908b79b9a
14c6870abb4d60
155c8b9d2a5216
hex2def58d0c6f8

50506010511096 has 128 divisors (see below), whose sum is σ = 144796820636160. Its totient is φ = 14380940275200.

The previous prime is 50506010511091. The next prime is 50506010511157. The reversal of 50506010511096 is 69011501060505.

It is a super-3 number, since 3×505060105110963 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50506010511091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108256086 + ... + 108721626.

It is an arithmetic number, because the mean of its divisors is an integer number (1131225161220).

Almost surely, 250506010511096 is an apocalyptic number.

50506010511096 is a gapful number since it is divisible by the number (56) 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 50506010511096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72398410318080).

50506010511096 is an abundant number, since it is smaller than the sum of its proper divisors (94290810125064).

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

50506010511096 is a wasteful number, since it uses less digits than its factorization.

50506010511096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467765 (or 467761 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 39.

The spelling of 50506010511096 in words is "fifty trillion, five hundred six billion, ten million, five hundred eleven thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 347 694 1041 1388 1861 2082 2429 2776 3722 4164 4858 5583 7287 7444 8328 9716 11166 13027 14574 14888 19432 22332 26054 29148 39081 44664 52108 58296 78162 104216 156324 312648 465541 645767 931082 1291534 1396623 1862164 1937301 2583068 2793246 3258787 3724328 3874602 4520369 5166136 5586492 6517574 7749204 9040738 9776361 11172984 13035148 13561107 15498408 18081476 19552722 26070296 27122214 36162952 39105444 54244428 78210888 108488856 161542727 323085454 484628181 646170908 866371801 969256362 1130799089 1292341816 1732743602 1938512724 2261598178 2599115403 3392397267 3465487204 3877025448 4523196356 5198230806 6064602607 6784794534 6930974408 9046392712 10396461612 12129205214 13569589068 18193807821 20792923224 24258410428 27139178136 36387615642 48516820856 72775231284 145550462568 300631014947 601262029894 901893044841 1202524059788 1803786089682 2104417104629 2405048119576 3607572179364 4208834209258 6313251313887 7215144358728 8417668418516 12626502627774 16835336837032 25253005255548 50506010511096