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998257868010 = 235513219314127
BaseRepresentation
bin11101000011011001100…
…11100011110011101010
310112102200022021221200000
432201230303203303222
5112323413003234020
62042332054323430
7132056521606014
oct16415463436352
93472608257600
10998257868010
113553a45a6397
12141576659576
137319b38a200
143645cd151b4
151ae7883e090
hexe86cce3cea

998257868010 has 576 divisors, whose sum is σ = 3167704350720. Its totient is φ = 225228107520.

The previous prime is 998257868009. The next prime is 998257868033. The reversal of 998257868010 is 10868752899.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 241882567 + ... + 241886693.

It is an arithmetic number, because the mean of its divisors is an integer number (5499486720).

Almost surely, 2998257868010 is an apocalyptic number.

998257868010 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 998257868010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583852175360).

998257868010 is an abundant number, since it is smaller than the sum of its proper divisors (2169446482710).

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

998257868010 is a wasteful number, since it uses less digits than its factorization.

998257868010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 998257868010 in words is "nine hundred ninety-eight billion, two hundred fifty-seven million, eight hundred sixty-eight thousand, ten".