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5163747840 = 2933574707
BaseRepresentation
bin1001100111100100…
…01000101000000000
3111022212111120101000
410303302020220000
541033404412330
62212221012000
7241651063266
oct46362105000
914285446330
105163747840
11220a88a1a9
1210013b4000
13643a621c4
1436db28436
152034ee560
hex133c88a00

5163747840 has 160 divisors (see below), whose sum is σ = 18342308160. Its totient is φ = 1376980992.

The previous prime is 5163747833. The next prime is 5163747847. The reversal of 5163747840 is 487473615.

5163747840 is a `hidden beast` number, since 5 + 1 + 637 + 4 + 7 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5163747833) and next prime (5163747847).

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (5163747847) by changing a digit.

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, 31767 + ... + 106473.

It is an arithmetic number, because the mean of its divisors is an integer number (114639426).

Almost surely, 25163747840 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 5163747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9171154080).

5163747840 is an abundant number, since it is smaller than the sum of its proper divisors (13178560320).

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

5163747840 is an equidigital number, since it uses as much as digits as its factorization.

5163747840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74739 (or 74717 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 5163747840 is about 71859.2223726363. Note that the first 3 decimals coincide. The cubic root of 5163747840 is about 1728.4427877636.

The spelling of 5163747840 in words is "five billion, one hundred sixty-three million, seven hundred forty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 23040 34560 69120 74707 149414 224121 298828 373535 448242 597656 672363 747070 896484 1120605 1195312 1344726 1494140 1792968 2017089 2241210 2390624 2689452 2988280 3361815 3585936 4034178 4482420 4781248 5378904 5976560 6723630 7171872 8068356 8964840 9562496 10085445 10757808 11953120 13447260 14343744 16136712 17929680 19124992 20170890 21515616 23906240 26894520 28687488 32273424 35859360 38249984 40341780 43031232 47812480 53789040 57374976 64546848 71718720 80683560 86062464 95624960 107578080 114749952 129093696 143437440 161367120 172124928 191249920 215156160 258187392 286874880 322734240 344249856 430312320 516374784 573749760 645468480 860624640 1032749568 1290936960 1721249280 2581873920 5163747840