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2104012746 = 234111319013
BaseRepresentation
bin111110101101000…
…1010111111001010
312102122001220220000
41331122022333022
513302111401441
6544440143430
7103065545643
oct17532127712
95378056800
102104012746
1198a729a10
124a8767b76
13276b94474
1415d6126ca
15c4aab2b6
hex7d68afca

2104012746 has 80 divisors (see below), whose sum is σ = 5182977888. Its totient is φ = 632642400.

The previous prime is 2104012739. The next prime is 2104012751. The reversal of 2104012746 is 6472104012.

2104012746 is a `hidden beast` number, since 210 + 401 + 2 + 7 + 46 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 228936 + ... + 237948.

Almost surely, 22104012746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104012746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591488944).

2104012746 is an abundant number, since it is smaller than the sum of its proper divisors (3078965142).

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

2104012746 is a wasteful number, since it uses less digits than its factorization.

2104012746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9169 (or 9160 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2104012746 is about 45869.5187025109. The cubic root of 2104012746 is about 1281.3943029824.

Adding to 2104012746 its reverse (6472104012), we get a palindrome (8576116758).

The spelling of 2104012746 in words is "two billion, one hundred four million, twelve thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 131 162 198 262 297 393 594 786 891 1179 1441 1782 2358 2882 3537 4323 7074 8646 9013 10611 12969 18026 21222 25938 27039 38907 54078 77814 81117 99143 116721 162234 198286 233442 243351 297429 486702 594858 730053 892287 1180703 1460106 1784574 2361406 2676861 3542109 5353722 7084218 8030583 10626327 12987733 16061166 21252654 25975466 31878981 38963199 63757962 77926398 95636943 116889597 191273886 233779194 350668791 701337582 1052006373 2104012746