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2068472736 = 253211259357
BaseRepresentation
bin111101101001010…
…0110001110100000
312100011012022011100
41323102212032200
513214012111421
6541130314400
7102154504521
oct17322461640
95304168140
102068472736
11971665200
12498888a00
1326c6cc985
14158a00848
15c18dac26
hex7b4a63a0

2068472736 has 108 divisors (see below), whose sum is σ = 6465688866. Its totient is φ = 626799360.

The previous prime is 2068472719. The next prime is 2068472741. The reversal of 2068472736 is 6372748602.

It can be written as a sum of positive squares in only one way, i.e., 1750920336 + 317552400 = 41844^2 + 17820^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2068472691 and 2068472700.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5170 + ... + 64526.

Almost surely, 22068472736 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 2068472736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232844433).

2068472736 is an abundant number, since it is smaller than the sum of its proper divisors (4397216130).

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

2068472736 is a wasteful number, since it uses less digits than its factorization.

2068472736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59395 (or 59373 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 2068472736 is about 45480.4654329746. The cubic root of 2068472736 is about 1274.1383871945.

The spelling of 2068472736 in words is "two billion, sixty-eight million, four hundred seventy-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3872 4356 5808 8712 11616 17424 34848 59357 118714 178071 237428 356142 474856 534213 652927 712284 949712 1068426 1305854 1424568 1899424 1958781 2136852 2611708 2849136 3917562 4273704 5223416 5698272 5876343 7182197 7835124 8547408 10446832 11752686 14364394 15670248 17094816 20893664 21546591 23505372 28728788 31340496 43093182 47010744 57457576 62680992 64639773 86186364 94021488 114915152 129279546 172372728 188042976 229830304 258559092 344745456 517118184 689490912 1034236368 2068472736