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5288117760 = 29325229519
BaseRepresentation
bin1001110110011001…
…00100011000000000
3111122112112012211100
410323030210120000
541312224232020
62232422414400
7245021154642
oct47314443000
914575465740
105288117760
112274006162
121036b91400
13663759183
14382460892
1520e3b9a90
hex13b324600

5288117760 has 120 divisors (see below), whose sum is σ = 18314318880. Its totient is φ = 1410158592.

The previous prime is 5288117759. The next prime is 5288117761. The reversal of 5288117760 is 677118825.

It is a happy number.

5288117760 is a `hidden beast` number, since 528 + 8 + 117 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5288117759) and next prime (5288117761).

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5288117761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91720 + ... + 137799.

It is an arithmetic number, because the mean of its divisors is an integer number (152619324).

Almost surely, 25288117760 is an apocalyptic number.

It is an amenable number.

5288117760 is an abundant number, since it is smaller than the sum of its proper divisors (13026201120).

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

5288117760 is a wasteful number, since it uses less digits than its factorization.

5288117760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229548 (or 229529 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 5288117760 is about 72719.4455424407. The cubic root of 5288117760 is about 1742.2094801388.

The spelling of 5288117760 in words is "five billion, two hundred eighty-eight million, one hundred seventeen thousand, seven hundred sixty".

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 229519 459038 688557 918076 1147595 1377114 1836152 2065671 2295190 2754228 3442785 3672304 4131342 4590380 5508456 6885570 7344608 8262684 9180760 10328355 11016912 13771140 14689216 16525368 18361520 20656710 22033824 27542280 29378432 33050736 36723040 41313420 44067648 55084560 58756864 66101472 73446080 82626840 88135296 110169120 117513728 132202944 146892160 165253680 176270592 220338240 264405888 293784320 330507360 352541184 440676480 528811776 587568640 661014720 881352960 1057623552 1322029440 1762705920 2644058880 5288117760