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189627897312 = 25347219179439
BaseRepresentation
bin1011000010011010110…
…1000001010111100000
3200010110111100021110000
42300212231001113200
511101324220203222
6223040331540000
716462104350400
oct2604655012740
9603414307400
10189627897312
117346a005a07
1230901bba600
1314b6050a2c9
14926c77a800
154decab39ac
hex2c26b415e0

189627897312 has 720 divisors, whose sum is σ = 688265424000. Its totient is φ = 50924837376.

The previous prime is 189627897289. The next prime is 189627897379. The reversal of 189627897312 is 213798726981.

189627897312 is a `hidden beast` number, since 189 + 62 + 7 + 89 + 7 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 189627897312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 431953989 + ... + 431954427.

It is an arithmetic number, because the mean of its divisors is an integer number (955924200).

Almost surely, 2189627897312 is an apocalyptic number.

189627897312 is a gapful number since it is divisible by the number (12) 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 189627897312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344132712000).

189627897312 is an abundant number, since it is smaller than the sum of its proper divisors (498637526688).

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

189627897312 is a wasteful number, since it uses less digits than its factorization.

189627897312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 649 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The spelling of 189627897312 in words is "one hundred eighty-nine billion, six hundred twenty-seven million, eight hundred ninety-seven thousand, three hundred twelve".