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88206006440 = 2353759598653
BaseRepresentation
bin101001000100101111…
…1001101100010101000
322102200020011101121102
41102021133031202220
52421121214201230
6104304332500532
76241553453426
oct1221137154250
9272606141542
1088206006440
1134453a9a192
121511801a748
138419256126
1443aa94a116
152463b0d045
hex14897cd8a8

88206006440 has 32 divisors (see below), whose sum is σ = 203827396680. Its totient is φ = 34328823552.

The previous prime is 88206006419. The next prime is 88206006461. The reversal of 88206006440 is 4460060288.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88206006419) and next prime (88206006461).

It can be written as a sum of positive squares in 4 ways, for example, as 81486269764 + 6719736676 = 285458^2 + 81974^2 .

It is a junction number, because it is equal to n+sod(n) for n = 88206006394 and 88206006403.

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 7 ways as a sum of consecutive naturals, for example, 29797847 + ... + 29800806.

Almost surely, 288206006440 is an apocalyptic number.

It is an amenable number.

88206006440 is an abundant number, since it is smaller than the sum of its proper divisors (115621390240).

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

88206006440 is a wasteful number, since it uses less digits than its factorization.

88206006440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59598701 (or 59598697 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 88206006440 in words is "eighty-eight billion, two hundred six million, six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 59598653 119197306 238394612 297993265 476789224 595986530 1191973060 2205150161 2383946120 4410300322 8820600644 11025750805 17641201288 22051501610 44103003220 88206006440