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4295112833088 = 26327111729375309
BaseRepresentation
bin111110100000001000101…
…011001011100001000000
3120012121102210112221000100
4332200020223023201000
51030332342341124323
613045051514122400
7622211620462440
oct76401053134100
916177383487010
104295112833088
111406602248050
12594508720400
132520482834ac
1410bc55392120
1576ad459e943
hex3e808acb840

4295112833088 has 1344 divisors, whose sum is σ = 17269914355200. Its totient is φ = 986197524480.

The previous prime is 4295112833057. The next prime is 4295112833113. The reversal of 4295112833088 is 8803382115924.

4295112833088 is a `hidden beast` number, since 4 + 2 + 9 + 51 + 1 + 283 + 308 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 809022178 + ... + 809027486.

Almost surely, 24295112833088 is an apocalyptic number.

4295112833088 is a gapful number since it is divisible by the number (48) 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 4295112833088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8634957177600).

4295112833088 is an abundant number, since it is smaller than the sum of its proper divisors (12974801522112).

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

4295112833088 is a wasteful number, since it uses less digits than its factorization.

4295112833088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5428 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 4295112833088 in words is "four trillion, two hundred ninety-five billion, one hundred twelve million, eight hundred thirty-three thousand, eighty-eight".