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11168361216 = 28332955717
BaseRepresentation
bin10100110011010111…
…11010101100000000
31001211100020112102000
422121223322230000
5140333100024331
65044120424000
7543522334605
oct123153725400
931740215360
1011168361216
1148112810a1
1221b8318000
13108ca84a7c
1477d3b86ac
154557490e6
hex299afab00

11168361216 has 144 divisors (see below), whose sum is σ = 34166277600. Its totient is φ = 3594350592.

The previous prime is 11168361179. The next prime is 11168361257. The reversal of 11168361216 is 61216386111.

It is a happy number.

11168361216 is a `hidden beast` number, since 11 + 16 + 8 + 3 + 612 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172590 + ... + 228306.

Almost surely, 211168361216 is an apocalyptic number.

11168361216 is a gapful number since it is divisible by the number (16) 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 11168361216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17083138800).

11168361216 is an abundant number, since it is smaller than the sum of its proper divisors (22997916384).

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

11168361216 is an equidigital number, since it uses as much as digits as its factorization.

11168361216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55771 (or 55751 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The spelling of 11168361216 in words is "eleven billion, one hundred sixty-eight million, three hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 288 348 384 432 464 522 576 696 768 783 864 928 1044 1152 1392 1566 1728 1856 2088 2304 2784 3132 3456 3712 4176 5568 6264 6912 7424 8352 11136 12528 16704 22272 25056 33408 50112 55717 66816 100224 111434 167151 200448 222868 334302 445736 501453 668604 891472 1002906 1337208 1504359 1615793 1782944 2005812 2674416 3008718 3231586 3565888 4011624 4847379 5348832 6017436 6463172 7131776 8023248 9694758 10697664 12034872 12926344 14263552 14542137 16046496 19389516 21395328 24069744 25852688 29084274 32092992 38779032 42790656 43626411 48139488 51705376 58168548 64185984 77558064 87252822 96278976 103410752 116337096 128371968 155116128 174505644 192557952 206821504 232674192 310232256 349011288 385115904 413643008 465348384 620464512 698022576 930696768 1240929024 1396045152 1861393536 2792090304 3722787072 5584180608 11168361216