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4611631104 = 2113383399
BaseRepresentation
bin1000100101101111…
…11110100000000000
3102220101121010121000
410102313332200000
533421034143404
62041335132000
7222165134433
oct42267764000
912811533530
104611631104
111a57166783
12a88514000
13586560402
1431a68781a
151becde339
hex112dfe800

4611631104 has 96 divisors (see below), whose sum is σ = 13660920000. Its totient is φ = 1537191936.

The previous prime is 4611631099. The next prime is 4611631109. The reversal of 4611631104 is 4011361164.

4611631104 is a `hidden beast` number, since 4 + 6 + 11 + 631 + 10 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4611631099) and next prime (4611631109).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4611631109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13597 + ... + 96995.

It is an arithmetic number, because the mean of its divisors is an integer number (142301250).

Almost surely, 24611631104 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 4611631104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6830460000).

4611631104 is an abundant number, since it is smaller than the sum of its proper divisors (9049288896).

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

4611631104 is an equidigital number, since it uses as much as digits as its factorization.

4611631104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83430 (or 83404 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4611631104 is about 67908.9913339905. The cubic root of 4611631104 is about 1664.5040386288.

Adding to 4611631104 its reverse (4011361164), we get a palindrome (8622992268).

The spelling of 4611631104 in words is "four billion, six hundred eleven million, six hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 13824 18432 27648 55296 83399 166798 250197 333596 500394 667192 750591 1000788 1334384 1501182 2001576 2251773 2668768 3002364 4003152 4503546 5337536 6004728 8006304 9007092 10675072 12009456 16012608 18014184 21350144 24018912 32025216 36028368 42700288 48037824 64050432 72056736 85400576 96075648 128100864 144113472 170801152 192151296 256201728 288226944 384302592 512403456 576453888 768605184 1152907776 1537210368 2305815552 4611631104