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803942432288 = 2531251132
BaseRepresentation
bin10111011001011101011…
…00111111111000100000
32211212010010112001101022
423230232230333320200
5101132433230313123
61413154232225012
7112040304631502
oct13545654777040
92755103461338
10803942432288
1128aa4a5a94a6
1210b98683b168
135aa71993248
142aca7bb1d72
1515da44951c8
hexbb2eb3fe20

803942432288 has 54 divisors (see below), whose sum is σ = 1635785412597. Its totient is φ = 388928321280.

The previous prime is 803942432233. The next prime is 803942432291. The reversal of 803942432288 is 882234249308.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 480986635024 + 322955797264 = 693532^2 + 568292^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=634012.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 157232420 + ... + 157237532.

Almost surely, 2803942432288 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 803942432288

803942432288 is an abundant number, since it is smaller than the sum of its proper divisors (831842980309).

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

803942432288 is an frugal number, since it uses more digits than its factorization.

803942432288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10298 (or 5146 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 53.

The spelling of 803942432288 in words is "eight hundred three billion, nine hundred forty-two million, four hundred thirty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1922 3844 5113 7688 10226 15376 20452 30752 40904 81808 158503 163616 317006 634012 1268024 2536048 4913593 5072096 9827186 19654372 26142769 39308744 52285538 78617488 104571076 157234976 209142152 418284304 810425839 836568608 1620851678 3241703356 6483406712 12966813424 25123201009 25933626848 50246402018 100492804036 200985608072 401971216144 803942432288