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5267223936 = 27341339079
BaseRepresentation
bin1001110011111001…
…10111010110000000
3111121002012200220000
410321330313112000
541241402131221
62230354520000
7244345444002
oct47174672600
914532180800
105267223936
112263235337
12102bb96000
1365c321c70
1437d782372
1520c63de26
hex139f37580

5267223936 has 160 divisors (see below), whose sum is σ = 16881387600. Its totient is φ = 1620642816.

The previous prime is 5267223901. The next prime is 5267223971. The reversal of 5267223936 is 6393227625.

5267223936 is a `hidden beast` number, since 526 + 72 + 23 + 9 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (5267223901) and next prime (5267223971).

It is a junction number, because it is equal to n+sod(n) for n = 5267223891 and 5267223900.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 115245 + ... + 154323.

Almost surely, 25267223936 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 5267223936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8440693800).

5267223936 is an abundant number, since it is smaller than the sum of its proper divisors (11614163664).

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

5267223936 is a wasteful number, since it uses less digits than its factorization.

5267223936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39118 (or 39097 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 5267223936 is about 72575.6428562641. The cubic root of 5267223936 is about 1739.9119099280.

The spelling of 5267223936 in words is "five billion, two hundred sixty-seven million, two hundred twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 351 384 416 432 468 576 624 648 702 832 864 936 1053 1152 1248 1296 1404 1664 1728 1872 2106 2496 2592 2808 3456 3744 4212 4992 5184 5616 7488 8424 10368 11232 14976 16848 22464 33696 39079 44928 67392 78158 117237 134784 156316 234474 312632 351711 468948 508027 625264 703422 937896 1016054 1055133 1250528 1406844 1524081 1875792 2032108 2110266 2501056 2813688 3048162 3165399 3751584 4064216 4220532 4572243 5002112 5627376 6096324 6330798 7503168 8128432 8441064 9144486 11254752 12192648 12661596 13716729 15006336 16256864 16882128 18288972 22509504 24385296 25323192 27433458 32513728 33764256 36577944 41150187 45019008 48770592 50646384 54866916 65027456 67528512 73155888 82300374 97541184 101292768 109733832 135057024 146311776 164600748 195082368 202585536 219467664 292623552 329201496 405171072 438935328 585247104 658402992 877870656 1316805984 1755741312 2633611968 5267223936