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4807863540 = 223454369019
BaseRepresentation
bin1000111101001001…
…00010110011110100
3110102001211202220000
410132210202303310
534321303113130
62113025111300
7230100110604
oct43644426364
913361752800
104807863540
112047a06047
12b22188530
135b80c888c
14338768c04
151d2152260
hex11e922cf4

4807863540 has 120 divisors (see below), whose sum is σ = 15433424160. Its totient is φ = 1252262592.

The previous prime is 4807863523. The next prime is 4807863553. The reversal of 4807863540 is 453687084.

4807863540 is a `hidden beast` number, since 4 + 8 + 0 + 7 + 8 + 635 + 4 + 0 = 666.

It is a super-3 number, since 3×48078635403 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35151 + ... + 104169.

It is an arithmetic number, because the mean of its divisors is an integer number (128611868).

Almost surely, 24807863540 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 4807863540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7716712080).

4807863540 is an abundant number, since it is smaller than the sum of its proper divisors (10625560620).

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

4807863540 is a wasteful number, since it uses less digits than its factorization.

4807863540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69083 (or 69072 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4807863540 is about 69338.7592908901. The cubic root of 4807863540 is about 1687.7859900475.

The spelling of 4807863540 in words is "four billion, eight hundred seven million, eight hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 81 86 90 108 129 135 162 172 180 215 258 270 324 387 405 430 516 540 645 774 810 860 1161 1290 1548 1620 1935 2322 2580 3483 3870 4644 5805 6966 7740 11610 13932 17415 23220 34830 69019 69660 138038 207057 276076 345095 414114 621171 690190 828228 1035285 1242342 1380380 1863513 2070570 2484684 2967817 3105855 3727026 4141140 5590539 5935634 6211710 7454052 8903451 9317565 11181078 11871268 12423420 14839085 17806902 18635130 22362156 26710353 27952695 29678170 35613804 37270260 44517255 53420706 55905390 59356340 80131059 89034510 106841412 111810780 133551765 160262118 178069020 240393177 267103530 320524236 400655295 480786354 534207060 801310590 961572708 1201965885 1602621180 2403931770 4807863540