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4953769040 = 24511346523
BaseRepresentation
bin1001001110100010…
…01000010001010000
3110210020101112121102
410213101020101100
540121131102130
62135320243532
7233521225223
oct44721102120
913706345542
104953769040
112112301000
12b630105a8
1360c3c2bac
1434dca95ba
151ded73645
hex127448450

4953769040 has 80 divisors (see below), whose sum is σ = 12668671296. Its totient is φ = 1801331840.

The previous prime is 4953768971. The next prime is 4953769057. The reversal of 4953769040 is 409673594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83219 + ... + 129741.

Almost surely, 24953769040 is an apocalyptic number.

4953769040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4953769040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6334335648).

4953769040 is an abundant number, since it is smaller than the sum of its proper divisors (7714902256).

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

4953769040 is a wasteful number, since it uses less digits than its factorization.

4953769040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46569 (or 46541 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 47.

The square root of 4953769040 is about 70383.0167014742. The cubic root of 4953769040 is about 1704.6893641506.

The spelling of 4953769040 in words is "four billion, nine hundred fifty-three million, seven hundred sixty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1331 1936 2420 2662 4840 5324 6655 9680 10648 13310 21296 26620 46523 53240 93046 106480 186092 232615 372184 465230 511753 744368 930460 1023506 1860920 2047012 2558765 3721840 4094024 5117530 5629283 8188048 10235060 11258566 20470120 22517132 28146415 40940240 45034264 56292830 61922113 90068528 112585660 123844226 225171320 247688452 309610565 450342640 495376904 619221130 990753808 1238442260 2476884520 4953769040