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86402001488 = 24112199224267
BaseRepresentation
bin101000001110111110…
…1011110101001010000
322021000111121110001012
41100131331132221100
52403422403021423
6103405330430052
76146056615655
oct1203575365120
9267014543035
1086402001488
113370874a600
12148b3a32328
1381bc59318a
14427910dc2c
1523aa563078
hex141df5ea50

86402001488 has 60 divisors (see below), whose sum is σ = 184931392800. Its totient is φ = 39076107840.

The previous prime is 86402001481. The next prime is 86402001533. The reversal of 86402001488 is 88410020468.

It is a super-2 number, since 2×864020014882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86402001481) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 273131 + ... + 497397.

It is an arithmetic number, because the mean of its divisors is an integer number (3082189880).

Almost surely, 286402001488 is an apocalyptic number.

86402001488 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86402001488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92465696400).

86402001488 is an abundant number, since it is smaller than the sum of its proper divisors (98529391312).

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

86402001488 is a wasteful number, since it uses less digits than its factorization.

86402001488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224496 (or 224479 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 41.

The spelling of 86402001488 in words is "eighty-six billion, four hundred two million, one thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 199 242 398 484 796 968 1592 1936 2189 3184 4378 8756 17512 24079 35024 48158 96316 192632 224267 385264 448534 897068 1794136 2466937 3588272 4933874 9867748 19735496 27136307 39470992 44629133 54272614 89258266 108545228 178516532 217090456 357033064 434180912 490920463 714066128 981840926 1963681852 3927363704 5400125093 7854727408 10800250186 21600500372 43201000744 86402001488