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2047064827122 = 232717231109127131
BaseRepresentation
bin11101110010011110100…
…100100110010011110010
321020200211110121210100100
4131302132210212103302
5232014342043431442
64204224131333230
7300616113635340
oct35623644462362
97220743553310
102047064827122
1171a178801027
12290899a51216
1311b0641999c3
1471115450990
15383aed3684c
hex1dc9e9264f2

2047064827122 has 576 divisors, whose sum is σ = 5696649953280. Its totient is φ = 519673190400.

The previous prime is 2047064827081. The next prime is 2047064827127. The reversal of 2047064827122 is 2217284607402.

2047064827122 is a `hidden beast` number, since 2 + 0 + 47 + 0 + 6 + 482 + 7 + 122 = 666.

It is not an unprimeable number, because it can be changed into a prime (2047064827127) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15626448997 + ... + 15626449127.

It is an arithmetic number, because the mean of its divisors is an integer number (9890017280).

Almost surely, 22047064827122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2047064827122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848324976640).

2047064827122 is an abundant number, since it is smaller than the sum of its proper divisors (3649585126158).

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

2047064827122 is a wasteful number, since it uses less digits than its factorization.

2047064827122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 2047064827122 in words is "two trillion, forty-seven billion, sixty-four million, eight hundred twenty-seven thousand, one hundred twenty-two".