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5329876480 = 29523131691
BaseRepresentation
bin1001111011010111…
…10111011000000000
3111202110002210000121
410331223313120000
541403422021410
62240513430024
7246036126325
oct47553673000
914673083017
105329876480
1122956380a5
121048b6b314
1366c2ba386
14387c10b4c
15212db79da
hex13daf7600

5329876480 has 160 divisors (see below), whose sum is σ = 13456067328. Its totient is φ = 2020761600.

The previous prime is 5329876477. The next prime is 5329876481. The reversal of 5329876480 is 846789235.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5329876481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7712935 + ... + 7713625.

Almost surely, 25329876480 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 5329876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6728033664).

5329876480 is an abundant number, since it is smaller than the sum of its proper divisors (8126190848).

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

5329876480 is a wasteful number, since it uses less digits than its factorization.

5329876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The square root of 5329876480 is about 73006.0030408459. The cubic root of 5329876480 is about 1746.7833679447.

The spelling of 5329876480 in words is "five billion, three hundred twenty-nine million, eight hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 131 160 184 230 256 262 320 368 460 512 524 640 655 691 736 920 1048 1280 1310 1382 1472 1840 2096 2560 2620 2764 2944 3013 3455 3680 4192 5240 5528 5888 6026 6910 7360 8384 10480 11056 11776 12052 13820 14720 15065 15893 16768 20960 22112 24104 27640 29440 30130 31786 33536 41920 44224 48208 55280 58880 60260 63572 67072 79465 83840 88448 90521 96416 110560 120520 127144 158930 167680 176896 181042 192832 221120 241040 254288 317860 335360 353792 362084 385664 442240 452605 482080 508576 635720 724168 771328 884480 905210 964160 1017152 1271440 1448336 1542656 1768960 1810420 1928320 2034304 2081983 2542880 2896672 3620840 3856640 4068608 4163966 5085760 5793344 7241680 7713280 8137216 8327932 10171520 10409915 11586688 14483360 16655864 20343040 20819830 23173376 28966720 33311728 40686080 41639660 46346752 57933440 66623456 83279320 115866880 133246912 166558640 231733760 266493824 333117280 532987648 666234560 1065975296 1332469120 2664938240 5329876480