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1098114048 = 210321743163
BaseRepresentation
bin100000101110011…
…1110010000000000
32211112021222021200
41001130332100000
54222104122143
6300544221200
736132546453
oct10134762000
92745258250
101098114048
11513947379
1226790a800
13146670435
14a5bab49a
15666121d3
hex4173e400

1098114048 has 264 divisors, whose sum is σ = 3456449568. Its totient is φ = 334430208.

The previous prime is 1098114007. The next prime is 1098114053. The reversal of 1098114048 is 8404118901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6736815 + ... + 6736977.

It is an arithmetic number, because the mean of its divisors is an integer number (13092612).

Almost surely, 21098114048 is an apocalyptic number.

1098114048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1098114048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728224784).

1098114048 is an abundant number, since it is smaller than the sum of its proper divisors (2358335520).

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

1098114048 is a wasteful number, since it uses less digits than its factorization.

1098114048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1098114048 is about 33137.8039103378. The cubic root of 1098114048 is about 1031.6898292672.

The spelling of 1098114048 in words is "one billion, ninety-eight million, one hundred fourteen thousand, forty-eight".