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5565381504 = 273192293331
BaseRepresentation
bin1010010111011100…
…01111101110000000
3112100212020200011220
411023232033232000
542344214202004
62320125235040
7254625651024
oct51356175600
915325220156
105565381504
1123a6570551
1210b3a02a80
136a9026267
143ab1d6384
152288d6dd9
hex14bb8fb80

5565381504 has 128 divisors (see below), whose sum is σ = 15633744000. Its totient is φ = 1749288960.

The previous prime is 5565381469. The next prime is 5565381539. The reversal of 5565381504 is 4051835655.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5565381469) and next prime (5565381539).

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

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 15 ways as a sum of consecutive naturals, for example, 1669119 + ... + 1672449.

It is an arithmetic number, because the mean of its divisors is an integer number (122138625).

Almost surely, 25565381504 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 5565381504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7816872000).

5565381504 is an abundant number, since it is smaller than the sum of its proper divisors (10068362496).

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

5565381504 is a wasteful number, since it uses less digits than its factorization.

5565381504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The square root of 5565381504 is about 74601.4845964878. The cubic root of 5565381504 is about 1772.1411631466.

The spelling of 5565381504 in words is "five billion, five hundred sixty-five million, three hundred eighty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 229 304 384 456 458 608 687 912 916 1216 1374 1824 1832 2432 2748 3331 3648 3664 4351 5496 6662 7296 7328 8702 9993 10992 13053 13324 14656 17404 19986 21984 26106 26648 29312 34808 39972 43968 52212 53296 63289 69616 79944 87936 104424 106592 126578 139232 159888 189867 208848 213184 253156 278464 319776 379734 417696 426368 506312 556928 639552 759468 762799 835392 1012624 1279104 1518936 1525598 1670784 2025248 2288397 3037872 3051196 4050496 4576794 6075744 6102392 8100992 9153588 12151488 12204784 14493181 18307176 24302976 24409568 28986362 36614352 43479543 48819136 57972724 73228704 86959086 97638272 115945448 146457408 173918172 231890896 292914816 347836344 463781792 695672688 927563584 1391345376 1855127168 2782690752 5565381504