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2504678112 = 25343672633
BaseRepresentation
bin1001010101001010…
…0101101011100000
320110112222211110000
42111102211223200
520112144144422
61052311540000
7116032261356
oct22522455340
96415884400
102504678112
111075909812
1259a98a600
1330bba9871
1419a90b7d6
15e9d51cac
hex954a5ae0

2504678112 has 120 divisors (see below), whose sum is σ = 7389065376. Its totient is φ = 832301568.

The previous prime is 2504678101. The next prime is 2504678123. The reversal of 2504678112 is 2118764052.

2504678112 is a `hidden beast` number, since 2 + 504 + 67 + 81 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (2504678101) and next prime (2504678123).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 949948 + ... + 952580.

Almost surely, 22504678112 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 2504678112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694532688).

2504678112 is an abundant number, since it is smaller than the sum of its proper divisors (4884387264).

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

2504678112 is a wasteful number, since it uses less digits than its factorization.

2504678112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3022 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2504678112 is about 50046.7592557200. The cubic root of 2504678112 is about 1358.0548374492.

The spelling of 2504678112 in words is "two billion, five hundred four million, six hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 367 432 648 734 864 1101 1296 1468 2202 2592 2633 2936 3303 4404 5266 5872 6606 7899 8808 9909 10532 11744 13212 15798 17616 19818 21064 23697 26424 29727 31596 35232 39636 42128 47394 52848 59454 63192 71091 79272 84256 94788 105696 118908 126384 142182 158544 189576 213273 237816 252768 284364 317088 379152 426546 475632 568728 758304 853092 951264 966311 1137456 1706184 1932622 2274912 2898933 3412368 3865244 5797866 6824736 7730488 8696799 11595732 15460976 17393598 23191464 26090397 30921952 34787196 46382928 52180794 69574392 78271191 92765856 104361588 139148784 156542382 208723176 278297568 313084764 417446352 626169528 834892704 1252339056 2504678112