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12098243520 = 26325113197127
BaseRepresentation
bin10110100010001110…
…01000101111000000
31011020010222110010100
423101013020233000
5144234122243040
65320255202400
7605543241666
oct132107105700
934203873110
1012098243520
115149163470
122417816400
1311aa61199c
1482aab2c36
154ac1c9b30
hex2d11c8bc0

12098243520 has 672 divisors, whose sum is σ = 47716171776. Its totient is φ = 2786918400.

The previous prime is 12098243503. The next prime is 12098243557. The reversal of 12098243520 is 2534289021.

It is a happy number.

12098243520 is a `hidden beast` number, since 1 + 2 + 0 + 98 + 2 + 43 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95261697 + ... + 95261823.

It is an arithmetic number, because the mean of its divisors is an integer number (71006208).

Almost surely, 212098243520 is an apocalyptic number.

12098243520 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 12098243520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23858085888).

12098243520 is an abundant number, since it is smaller than the sum of its proper divisors (35617928256).

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

12098243520 is a wasteful number, since it uses less digits than its factorization.

12098243520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12098243520 in words is "twelve billion, ninety-eight million, two hundred forty-three thousand, five hundred twenty".