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4709737140 = 2235238534001
BaseRepresentation
bin1000110001011100…
…01110001010110100
3110011020012102202220
410120232032022310
534121143042030
62055202002340
7224466051033
oct43056161264
913136172686
104709737140
111aa7584249
12ab53463b0
135a098cb14
1432970471a
151c871ca10
hex118b8e2b4

4709737140 has 96 divisors (see below), whose sum is σ = 13780198656. Its totient is φ = 1199616000.

The previous prime is 4709737079. The next prime is 4709737147. The reversal of 4709737140 is 417379074.

It is a junction number, because it is equal to n+sod(n) for n = 4709737092 and 4709737101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4709737147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1175140 + ... + 1179140.

It is an arithmetic number, because the mean of its divisors is an integer number (143543736).

Almost surely, 24709737140 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 4709737140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890099328).

4709737140 is an abundant number, since it is smaller than the sum of its proper divisors (9070461516).

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

4709737140 is a wasteful number, since it uses less digits than its factorization.

4709737140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4889 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 4709737140 is about 68627.5246530137. The cubic root of 4709737140 is about 1676.2246501023.

The spelling of 4709737140 in words is "four billion, seven hundred nine million, seven hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 853 1380 1706 2559 3412 4001 4265 5118 8002 8530 10236 12003 12795 16004 17060 19619 20005 24006 25590 39238 40010 48012 51180 58857 60015 78476 80020 92023 98095 117714 120030 184046 196190 235428 240060 276069 294285 368092 392380 460115 552138 588570 920230 1104276 1177140 1380345 1840460 2760690 3412853 5521380 6825706 10238559 13651412 17064265 20477118 34128530 40954236 51192795 68257060 78495619 102385590 156991238 204771180 235486857 313982476 392478095 470973714 784956190 941947428 1177434285 1569912380 2354868570 4709737140