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5161904640 = 29325224041
BaseRepresentation
bin1001100111010110…
…00110101000000000
3111022202000220222100
410303223012220000
541032421422030
62212113310400
7241626315444
oct46353065000
914282026870
105161904640
1122098403a2
121000865400
13643568259
1436d7a8824
15203288360
hex133ac6a00

5161904640 has 120 divisors (see below), whose sum is σ = 17877207348. Its totient is φ = 1376501760.

The previous prime is 5161904603. The next prime is 5161904641. The reversal of 5161904640 is 464091615.

5161904640 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 9 + 0 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5094533376 + 67371264 = 71376^2 + 8208^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5161904595 and 5161904604.

It is not an unprimeable number, because it can be changed into a prime (5161904641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88981 + ... + 135060.

Almost surely, 25161904640 is an apocalyptic number.

It is an amenable number.

5161904640 is an abundant number, since it is smaller than the sum of its proper divisors (12715302708).

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

5161904640 is a wasteful number, since it uses less digits than its factorization.

5161904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224070 (or 224051 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5161904640 is about 71846.3961517904. The cubic root of 5161904640 is about 1728.2371073815.

The spelling of 5161904640 in words is "five billion, one hundred sixty-one million, nine hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 224041 448082 672123 896164 1120205 1344246 1792328 2016369 2240410 2688492 3360615 3584656 4032738 4480820 5376984 6721230 7169312 8065476 8961640 10081845 10753968 13442460 14338624 16130952 17923280 20163690 21507936 26884920 28677248 32261904 35846560 40327380 43015872 53769840 57354496 64523808 71693120 80654760 86031744 107539680 114708992 129047616 143386240 161309520 172063488 215079360 258095232 286772480 322619040 344126976 430158720 516190464 573544960 645238080 860317440 1032380928 1290476160 1720634880 2580952320 5161904640