Search a number
-
+
41372127727216 = 24111319499277693
BaseRepresentation
bin10010110100000101100101…
…11110100000111001110000
312102111010200201022122102221
421122002302332200321300
520410320104144232331
6223554032035250424
711500015615223206
oct1132026276407160
9172433621278387
1041372127727216
1112200903595280
124782241a49a14
131a114b4884a20
14a305c90a3076
154bb2b5e45711
hex25a0b2fa0e70

41372127727216 has 80 divisors (see below), whose sum is σ = 94220549186400. Its totient is φ = 17350026255360.

The previous prime is 41372127727211. The next prime is 41372127727261. The reversal of 41372127727216 is 61272772127314.

41372127727216 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×413721277272162 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41372127727211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179535 + ... + 9098158.

It is an arithmetic number, because the mean of its divisors is an integer number (1177756864830).

Almost surely, 241372127727216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41372127727216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47110274593200).

41372127727216 is an abundant number, since it is smaller than the sum of its proper divisors (52848421459184).

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

41372127727216 is a wasteful number, since it uses less digits than its factorization.

41372127727216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9279674 (or 9279668 counting only the distinct ones).

The product of its digits is 2765952, while the sum is 52.

The spelling of 41372127727216 in words is "forty-one trillion, three hundred seventy-two billion, one hundred twenty-seven million, seven hundred twenty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 1949 2288 3898 7796 15592 21439 25337 31184 42878 50674 85756 101348 171512 202696 278707 343024 405392 557414 1114828 2229656 4459312 9277693 18555386 37110772 74221544 102054623 120610009 148443088 204109246 241220018 408218492 482440036 816436984 964880072 1326710099 1632873968 1929760144 2653420198 5306840396 10613680792 18082223657 21227361584 36164447314 72328894628 144657789256 198904460227 235068907541 289315578512 397808920454 470137815082 795617840908 940275630164 1591235681816 1880551260328 2585757982951 3182471363632 3761102520656 5171515965902 10343031931804 20686063863608 41372127727216