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12190703616 = 213327132379
BaseRepresentation
bin10110101101001111…
…10110000000000000
31011110120221220112100
423112213312000000
5144431310003431
65333401030400
7611045161650
oct132647660000
934416856470
1012190703616
115196375073
122442785400
1311c38155c0
148390a0360
154b53904e6
hex2d69f6000

12190703616 has 672 divisors, whose sum is σ = 45799004160. Its totient is φ = 3036413952.

The previous prime is 12190703611. The next prime is 12190703627. The reversal of 12190703616 is 61630709121.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×121907036162 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12190703611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154312665 + ... + 154312743.

It is an arithmetic number, because the mean of its divisors is an integer number (68153280).

Almost surely, 212190703616 is an apocalyptic number.

12190703616 is a gapful number since it is divisible by the number (16) 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 12190703616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22899502080).

12190703616 is an abundant number, since it is smaller than the sum of its proper divisors (33608300544).

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

12190703616 is a wasteful number, since it uses less digits than its factorization.

12190703616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

It can be divided in two parts, 12190 and 703616, that added together give a triangular number (715806 = T1196).

The spelling of 12190703616 in words is "twelve billion, one hundred ninety million, seven hundred three thousand, six hundred sixteen".