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8463314816 = 271117477523
BaseRepresentation
bin1111110000111001…
…11110111110000000
3210211211012221100022
413320130332332000
5114313102033231
63515450113012
7416504663135
oct77034767600
923754187308
108463314816
113653358760
12178241b768
13a4b5223b8
145a403058c
15348018c7b
hex1f873ef80

8463314816 has 128 divisors (see below), whose sum is σ = 19892252160. Its totient is φ = 3543162880.

The previous prime is 8463314809. The next prime is 8463314831. The reversal of 8463314816 is 6184133648.

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

It is a super-2 number, since 2×84633148162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1121231 + ... + 1128753.

It is an arithmetic number, because the mean of its divisors is an integer number (155408220).

Almost surely, 28463314816 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 8463314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9946126080).

8463314816 is an abundant number, since it is smaller than the sum of its proper divisors (11428937344).

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

8463314816 is a wasteful number, since it uses less digits than its factorization.

8463314816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7612 (or 7600 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The square root of 8463314816 is about 91996.2760985465. The cubic root of 8463314816 is about 2037.8873116994.

The spelling of 8463314816 in words is "eight billion, four hundred sixty-three million, three hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 47 64 68 88 94 128 136 176 187 188 272 352 374 376 517 544 704 748 752 799 1034 1088 1408 1496 1504 1598 2068 2176 2992 3008 3196 4136 5984 6016 6392 7523 8272 8789 11968 12784 15046 16544 17578 23936 25568 30092 33088 35156 51136 60184 66176 70312 82753 102272 120368 127891 140624 165506 240736 255782 281248 331012 353581 481472 511564 562496 662024 707162 962944 1023128 1124992 1324048 1406801 1414324 2046256 2648096 2813602 2828648 3889391 4092512 5296192 5627204 5657296 6010877 7778782 8185024 10592384 11254408 11314592 12021754 15557564 16370048 22508816 22629184 24043508 31115128 45017632 45258368 48087016 62230256 66119647 90035264 96174032 124460512 132239294 180070528 192348064 248921024 264478588 384696128 497842048 528957176 769392256 1057914352 2115828704 4231657408 8463314816