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4042552552404 = 223293715719710151
BaseRepresentation
bin111010110100111010111…
…010001010101111010100
3112022110112102211100001120
4322310322322022233110
51012213121423134104
612333042322523540
7565031135510502
oct72647272125724
915273472740046
104042552552404
111319489588053
125535828065b0
1323429894a522
14dd93691b672
1570251aedcd9
hex3ad3ae8abd4

4042552552404 has 192 divisors, whose sum is σ = 10137637762560. Its totient is φ = 1251316684800.

The previous prime is 4042552552397. The next prime is 4042552552427.

It is a happy number.

4042552552404 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40425525524042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 398236729 + ... + 398246879.

It is an arithmetic number, because the mean of its divisors is an integer number (52800196680).

Almost surely, 24042552552404 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 4042552552404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068818881280).

4042552552404 is an abundant number, since it is smaller than the sum of its proper divisors (6095085210156).

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

4042552552404 is a wasteful number, since it uses less digits than its factorization.

4042552552404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10578 (or 10576 counting only the distinct ones).

The product of its (nonzero) digits is 1280000, while the sum is 42.

The spelling of 4042552552404 in words is "four trillion, forty-two billion, five hundred fifty-two million, five hundred fifty-two thousand, four hundred four".