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1089022189920 = 2535737431012017
BaseRepresentation
bin11111101100011101100…
…01111110000101100000
310212002221211101020100020
433312032301332011200
5120320304140034140
62152142340553440
7141451661611230
oct17661661760540
93762854336306
101089022189920
1138a9406a9885
121570873b2880
137b90464ca72
143a9cd531cc0
151d4dbd466d0
hexfd8ec7e160

1089022189920 has 768 divisors, whose sum is σ = 4162932652032. Its totient is φ = 234101145600.

The previous prime is 1089022189901. The next prime is 1089022189939. The reversal of 1089022189920 is 299812209801.

It is an interprime number because it is at equal distance from previous prime (1089022189901) and next prime (1089022189939).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 539920752 + ... + 539922768.

It is an arithmetic number, because the mean of its divisors is an integer number (5420485224).

Almost surely, 21089022189920 is an apocalyptic number.

1089022189920 is a gapful number since it is divisible by the number (10) 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 1089022189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081466326016).

1089022189920 is an abundant number, since it is smaller than the sum of its proper divisors (3073910462112).

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

1089022189920 is a wasteful number, since it uses less digits than its factorization.

1089022189920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 51.

The spelling of 1089022189920 in words is "one trillion, eighty-nine billion, twenty-two million, one hundred eighty-nine thousand, nine hundred twenty".