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4255523225104 = 2429157241724169
BaseRepresentation
bin111101111011010000111…
…100110011111000010000
3120001211020201201110112011
4331323100330303320100
51024210302421200404
613014543235312304
7616310555405014
oct75732074637020
916054221643464
104255523225104
1113a0836a12668
125888ba14b694
1324b3a9240658
14109d7b4d2544
1575a68b30604
hex3ded0f33e10

4255523225104 has 80 divisors (see below), whose sum is σ = 8587623236400. Its totient is φ = 2040376246272.

The previous prime is 4255523225099. The next prime is 4255523225159. The reversal of 4255523225104 is 4015223255524.

It can be written as a sum of positive squares in 8 ways, for example, as 1095832112400 + 3159691112704 = 1046820^2 + 1777552^2 .

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 15 ways as a sum of consecutive naturals, for example, 176061532 + ... + 176085700.

It is an arithmetic number, because the mean of its divisors is an integer number (107345290455).

Almost surely, 24255523225104 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 4255523225104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293811618200).

4255523225104 is an abundant number, since it is smaller than the sum of its proper divisors (4332100011296).

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

4255523225104 is a wasteful number, since it uses less digits than its factorization.

4255523225104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26780 (or 26774 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

The spelling of 4255523225104 in words is "four trillion, two hundred fifty-five billion, five hundred twenty-three million, two hundred twenty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 29 58 116 157 232 314 464 628 1256 2417 2512 4553 4834 9106 9668 18212 19336 24169 36424 38672 48338 70093 72848 96676 140186 193352 280372 379469 386704 560744 700901 758938 1121488 1401802 1517876 2803604 3035752 3794533 5607208 6071504 7589066 11004601 11214416 15178132 22009202 30356264 44018404 58416473 60712528 88036808 110041457 116832946 176073616 220082914 233665892 440165828 467331784 880331656 934663568 1694077717 1760663312 3388155434 6776310868 9171386261 13552621736 18342772522 27105243472 36685545044 73371090088 146742180176 265970201569 531940403138 1063880806276 2127761612552 4255523225104