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2122898956128 = 25351731701739
BaseRepresentation
bin11110111001000110101…
…000110101111101100000
321111221120110220200200000
4132321012220311331200
5234240144113044003
64303125112100000
7306242262252426
oct36710650657540
97457513820600
102122898956128
11749353131615
122a3522694600
1312525b2152a2
1474a6ac19116
153a34c7181a3
hex1ee46a35f60

2122898956128 has 576 divisors, whose sum is σ = 6861724047360. Its totient is φ = 642733056000.

The previous prime is 2122898956127. The next prime is 2122898956147. The reversal of 2122898956128 is 8216598982212.

2122898956128 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 8 + 9 + 8 + 9 + 5 + 612 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122898956121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2872663983 + ... + 2872664721.

It is an arithmetic number, because the mean of its divisors is an integer number (11912715360).

Almost surely, 22122898956128 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 2122898956128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430862023680).

2122898956128 is an abundant number, since it is smaller than the sum of its proper divisors (4738825091232).

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

2122898956128 is a wasteful number, since it uses less digits than its factorization.

2122898956128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1493 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 63.

The spelling of 2122898956128 in words is "two trillion, one hundred twenty-two billion, eight hundred ninety-eight million, nine hundred fifty-six thousand, one hundred twenty-eight".