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2042044157952 = 21232314121063
BaseRepresentation
bin11101101101110011010…
…100010001000000000000
321020012212120100101000100
4131231303110101000000
5231424101301023302
64202034021122400
7300350520644031
oct35556324210000
97205776311010
102042044157952
11718031766a67
1228b918559400
1311a743c82246
1470b9a72ca88
15381b919ad1c
hex1db73511000

2042044157952 has 468 divisors, whose sum is σ = 6246793676032. Its totient is φ = 642052915200.

The previous prime is 2042044157897. The next prime is 2042044157999. The reversal of 2042044157952 is 2597514402402.

2042044157952 is a `hidden beast` number, since 2 + 0 + 4 + 20 + 4 + 4 + 1 + 579 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2042044157898 and 2042044157907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1921019373 + ... + 1921020435.

Almost surely, 22042044157952 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 2042044157952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123396838016).

2042044157952 is an abundant number, since it is smaller than the sum of its proper divisors (4204749518080).

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

2042044157952 is a wasteful number, since it uses less digits than its factorization.

2042044157952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2042044157952 in words is "two trillion, forty-two billion, forty-four million, one hundred fifty-seven thousand, nine hundred fifty-two".