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11611372104 = 233210315110369
BaseRepresentation
bin10101101000001011…
…10111101001001000
31002222012211211002200
422310011313221020
5142240002401404
65200104000200
7560512014543
oct126405675110
932865754080
1011611372104
114a193537a2
122300760060
1311307a54a7
147c217785a
1547e5a6839
hex2b4177a48

11611372104 has 96 divisors (see below), whose sum is σ = 31966147200. Its totient is φ = 3807129600.

The previous prime is 11611372063. The next prime is 11611372109. The reversal of 11611372104 is 40127311611.

11611372104 is a `hidden beast` number, since 1 + 1 + 611 + 37 + 2 + 10 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (11611372109) 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, 1114632 + ... + 1125000.

It is an arithmetic number, because the mean of its divisors is an integer number (332980700).

Almost surely, 211611372104 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 11611372104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15983073600).

11611372104 is an abundant number, since it is smaller than the sum of its proper divisors (20354775096).

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

11611372104 is a wasteful number, since it uses less digits than its factorization.

11611372104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10635 (or 10628 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 11611372104 its reverse (40127311611), we get a palindrome (51738683715).

The spelling of 11611372104 in words is "eleven billion, six hundred eleven million, three hundred seventy-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 151 206 302 309 412 453 604 618 824 906 927 1208 1236 1359 1812 1854 2472 2718 3624 3708 5436 7416 10369 10872 15553 20738 31106 31107 41476 46659 62212 62214 82952 93318 93321 124424 124428 139977 186636 186642 248856 279954 373272 373284 559908 746568 1068007 1119816 1565719 2136014 3131438 3204021 4272028 4697157 6262876 6408042 8544056 9394314 9612063 12525752 12816084 14091471 18788628 19224126 25632168 28182942 37577256 38448252 56365884 76896504 112731768 161269057 322538114 483807171 645076228 967614342 1290152456 1451421513 1935228684 2902843026 3870457368 5805686052 11611372104