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2678022048 = 253133169221
BaseRepresentation
bin1001111110011111…
…0101111110100000
320220122011121121210
42133213311332200
520441033201143
61121423150120
7123235545312
oct23747657640
96818147553
102678022048
111154745669
12628a45340
13338a8cc40
141b59517b2
1510a193033
hex9f9f5fa0

2678022048 has 96 divisors (see below), whose sum is σ = 7814886912. Its totient is φ = 797414400.

The previous prime is 2678022047. The next prime is 2678022049. The reversal of 2678022048 is 8402208762.

It is an interprime number because it is at equal distance from previous prime (2678022047) and next prime (2678022049).

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

It is a super-2 number, since 2×26780220482 = 14343604179148228608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2678021997 and 2678022015.

It is not an unprimeable number, because it can be changed into a prime (2678022047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4078 + ... + 73298.

It is an arithmetic number, because the mean of its divisors is an integer number (81405072).

Almost surely, 22678022048 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 2678022048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907443456).

2678022048 is an abundant number, since it is smaller than the sum of its proper divisors (5136864864).

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

2678022048 is a wasteful number, since it uses less digits than its factorization.

2678022048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69278 (or 69270 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 2678022048 is about 51749.6091579444. The cubic root of 2678022048 is about 1388.6881067960.

It can be divided in two parts, 26780 and 22048, that added together give a triangular number (48828 = T312).

The spelling of 2678022048 in words is "two billion, six hundred seventy-eight million, twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 4836 6448 9672 12896 19344 38688 69221 138442 207663 276884 415326 553768 830652 899873 1107536 1661304 1799746 2145851 2215072 2699619 3322608 3599492 4291702 5399238 6437553 6645216 7198984 8583404 10798476 12875106 14397968 17166808 21596952 25750212 27896063 28795936 34333616 43193904 51500424 55792126 68667232 83688189 86387808 103000848 111584252 167376378 206001696 223168504 334752756 446337008 669505512 892674016 1339011024 2678022048