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4425105677652 = 22341141431993539
BaseRepresentation
bin100000001100100110011…
…0110100001110101010100
3120200000222020000122020000
41000121030312201311110
51040000104023141102
613224510540011300
7634463146435452
oct100311466416524
916600866018200
104425105677652
11145674987a1a0
125b5746b30b30
1326139382112a
141142679179d2
157a19199d01c
hex4064cda1d54

4425105677652 has 480 divisors, whose sum is σ = 13298414976000. Its totient is φ = 1271030745600.

The previous prime is 4425105677633. The next prime is 4425105677669. The reversal of 4425105677652 is 2567765015244.

4425105677652 is a `hidden beast` number, since 4 + 4 + 2 + 5 + 1 + 0 + 567 + 76 + 5 + 2 = 666.

It is a super-2 number, since 2×44251056776522 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1250381299 + ... + 1250384837.

It is an arithmetic number, because the mean of its divisors is an integer number (27705031200).

Almost surely, 24425105677652 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 4425105677652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6649207488000).

4425105677652 is an abundant number, since it is smaller than the sum of its proper divisors (8873309298348).

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

4425105677652 is a wasteful number, since it uses less digits than its factorization.

4425105677652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 4425105677652 in words is "four trillion, four hundred twenty-five billion, one hundred five million, six hundred seventy-seven thousand, six hundred fifty-two".