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5225510016 = 27338318217
BaseRepresentation
bin1001101110111011…
…01111010010000000
3111111011201102011000
410313131233102000
541200212310031
62222304452000
7243331050036
oct46735572200
914434642130
105225510016
112241734021
12101a01a000
136537a827c
14378004556
15208b4e3e6
hex13776f480

5225510016 has 128 divisors (see below), whose sum is σ = 15609182400. Its totient is φ = 1720756224.

The previous prime is 5225509987. The next prime is 5225510057. The reversal of 5225510016 is 6100155225.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 277740 + ... + 295956.

Almost surely, 25225510016 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 5225510016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7804591200).

5225510016 is an abundant number, since it is smaller than the sum of its proper divisors (10383672384).

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

5225510016 is a wasteful number, since it uses less digits than its factorization.

5225510016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18323 (or 18305 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 5225510016 is about 72287.6892423599. The cubic root of 5225510016 is about 1735.3066383809.

The spelling of 5225510016 in words is "five billion, two hundred twenty-five million, five hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 128 144 166 192 216 249 288 332 384 432 498 576 664 747 864 996 1152 1328 1494 1728 1992 2241 2656 2988 3456 3984 4482 5312 5976 7968 8964 10624 11952 15936 17928 18217 23904 31872 35856 36434 47808 54651 71712 72868 95616 109302 143424 145736 163953 218604 286848 291472 327906 437208 491859 582944 655812 874416 983718 1165888 1311624 1512011 1748832 1967436 2331776 2623248 3024022 3497664 3934872 4536033 5246496 6048044 6995328 7869744 9072066 10492992 12096088 13608099 15739488 18144132 20985984 24192176 27216198 31478976 36288264 40824297 48384352 54432396 62957952 72576528 81648594 96768704 108864792 145153056 163297188 193537408 217729584 290306112 326594376 435459168 580612224 653188752 870918336 1306377504 1741836672 2612755008 5225510016